Tue·Oct 29, 2019Tuesday·October 29, 2019

1. 01*

   Hybrid and quark star matter based on a non-perturbative equation of state

   Konstantin Otto🇩🇪 · Micaela Oertel🇫🇷 · Bernd-Jochen Schaefer🇩🇪

   With the recent dawn of the multi-messenger astronomy era a new window has opened to explore the constituents of matter and their interactions under extreme conditions. One of the pending challenges of modern physics is to probe the microscopic equation of state (EoS) of cold and dense matter via macroscopic neutron star observations such as their masses and radii. Still unanswered issues concern the detailed composition of matter in the core of neutron stars at high pressure and the possible presence of e.g. hyperons or quarks. By means of a non-perturbative functional renormalization group approach the influence of quantum and density fluctuations on the quark matter EoS in $\beta$-equilibrium is investigated within two- and three-flavor quark-meson model truncations and compared to results obtained with common mean-field approximations where important fluctuations are usually ignored. We find that they strongly impact the quark matter EoS.

   hep-phastro-ph.HEnucl-thPRD(2020)·72 citations
2. 02*

   Multiquark-Adequate QCD Sum Rules: the Case of Flavour-Exotic Tetraquarks

   Wolfgang Lucha🇦🇹 · Dmitri Melikhov🇦🇹 · Hagop Sazdjian🇫🇷

   Frequently, theoretical discussions of multiquark hadron states prove to be contaminated or even dominated by contributions of conventional hadrons. For the approach to QCD bound states in terms of QCD sum rules, we show how to get rid of all unwanted ordinary-hadron ballast by boiling down the traditional QCD sum-rule formalism to the nonconventional aspects in the focus of interest.

   hep-phEPJ Web Conf.(2019)·4 citations
3. 03*

   Electrical conductivity of a hot and dense QGP medium in a magnetic field

   Lata Thakur🇮🇳 · P. K. Srivastava🇮🇳

   We compute the electrical conductivity (${\sigma }_{el}$) in the presence of constant and homogeneous external electromagnetic field for the static quark-gluon plasma (QGP) medium, which is among the important transport coefficients of QGP. We present the derivation of the electrical conductivity by solving the relativistic Boltzmann kinetic equation in the relaxation time approximation in the presence of magnetic field ($B$). We investigate the dependence of electrical conductivity on the temperature and finite chemical potential in magnetic field. We find that electrical conductivity decreases with the increase in the presence of magnetic field. We observe that ${\sigma }_{el}$ at a nonzero $B$ remains within the range of the lattice and model estimate at $B\ne 0$. Further, we extend our calculation at finite chemical potential.

   hep-phPRD(2019)·32 citations
4. 04*

   Anomalous dimensions of quark masses in the three-loop approximation

   O. V. Tarasov🇷🇺

   The results of calculation of the three-loop radiative correction to the renormalization constant of fermion masses for non-abelian gauge theory interacting with fermions are presented. Dimensional regularization and the 't Hooft minimal subtraction scheme are used. The method of calculation is described in detail. The renormalization group function ${\gamma }_m$ determining the behavior of the effective mass of fermions is presented. The anomalous dimensions of fermions for QED and QCD up to three loops are given. All calculations were performed on a computer with the help of the SCHOOONSCHIP system for analytical manipulations. The present text was published in 1982 as a JINR Communication, JINR-P2-82-900 (in russian).

   hep-phPhys.Part.Nucl.Lett.(2020)·133 citations
5. 05*

   Relic Density of Asymmetric Dark Matter with Sommerfeld enhancement

   Hoernisa Iminniyaz🇨🇳

   We investigate the evolution of the abundance of the asymmetric thermal Dark Matter when its annihilation rate at chemical decoupling is boosted by the Sommerfeld enhancement. We perform the detailed analysis of the effect of $s$-- and $p$--wave Sommerfeld enhanced annihilation cross section on the relic abundances of asymmetric Dark Matter particle and anti--particle both in numerical and analytical way. The constraints on the coupling and asymmetric factor are given by using the observational data of the relic density of Dark Matter.

   hep-ph0 citations
6. 06*

   Thermal History of the Early Universe and Primordial Gravitational Waves from Induced Scalar Perturbations

   Fazlollah Hajkarim🇩🇪 · Jürgen Schaffner-Bielich🇩🇪

   We study the induced primordial gravitational waves (GW) coming from the effect of scalar perturbation on the tensor perturbation at the second order of cosmological perturbation theory. We use the evolution of the standard model degrees of freedom with respect to temperature in the early Universe to compute the induced gravitational waves bakcground. Our result shows that the spectrum of the induced GW is affected differently by the standard model degrees of freedom than the GW coming from first order tensor perturbation. This phenomenon is due to the presence of scalar perturbations as a source for tensor perturbations and it is effective around the quark gluon deconfinement and electroweak transition. In case of considering a scalar spectral index larger than one at small scales or a non-Gaussian curvature power spectrum this effect can be observed by gravitational wave observatories.

   hep-phastro-ph.COgr-qchep-thPRD(2020)·77 citations
7. 07*

   Cancellation mechanism for the electron electric dipole moment connected with the baryon asymmetry of the Universe

   Kaori Fuyuto🇺🇸 · Wei-Shu Hou🇹🇼 · Eibun Senaha🇰🇷

   We elucidate a cancellation mechanism for the electric dipole moment of the electron in the general two Higgs doublet model. The impressive improvement by the ACME Collaboration in 2018 suggests the presence of a new electron Yukawa coupling that brings in exquisite cancellations among dangerous diagrams, broadening the solution space for electroweak baryogenesis driven by an extra top Yukawa coupling. The cancellation mechanism calls for the new Yukawa couplings to have hierarchical structures that echo the observed pattern of the Standard Model Yukawa couplings.

   hep-phPRD(2020)·68 citations
8. 08*

   Study of the $\omega$ meson family and newly observed $\omega$-like state $X(2240)$

   Cheng-Qun Pang🇨🇳 · Ya-Rong Wang🇨🇳 · Jing-Fu Hu🇨🇳 · Tian-Jie Zhang🇨🇳 · Xiang Liu🇨🇳

   Since the present $\omega$ meson family has not been established, in this work, we carry out an investigation of the mass spectrum and Okubo-Zweig-Iizuka a allowed two-body strong decay of the $S$-wave and the $D$-wave $\omega$ mesons, and make the comparison with the experimental data of these reported $\omega$ states and the $\omega$-like $X(2240)$ state observed by BESIII. By this study, we not only suggest the possible assignments to these observed $\omega$ states under the framework of the $\omega$ meson family, but also predict three $\omega$ mesons ($\omega (5S)$, $\omega (2D)$ , and $\omega (4D)$) which are still missing in experiment. The present study may provide valuable information to further construct the $\omega$ meson family. Considering the present running status of BESIII, we also suggest that BESIII should pay more attention to the issue of $\omega$ meson with accumulating more data.

   hep-phhep-exPRD(2020)·21 citations
9. 09*

   Coherent elastic neutrino-nucleus scattering in multi-ton scale dark matter experiments: Classification of vector and scalar interactions new physics signals

   D. Aristizabal Sierra🇨🇱 · Bhaskar Dutta🇺🇸 · Shu Liao🇺🇸 · Louis E. Strigari🇺🇸

   We classify new physics signals in coherent elastic neutrino-nucleus scattering (CE$\nu$NS) processes induced by ${}^8$B solar neutrinos in multi-ton xenon dark matter (DM) detectors. Our analysis focuses on vector and scalar interactions in the effective and light mediator limits after considering the constraints emerging from the recent COHERENT data and neutrino masses. In both cases we identify a region where measurements of the event spectrum alone suffice to establish whether the new physics signal is related with vector or scalar couplings. We identify as well a region where measurements of the recoil spectrum are required so to establish the nature of the new interaction, and categorize the spectral features that enable distinguishing the vector from the scalar case. We demonstrate that measurements of the isospin nature of the new interaction and thereby removal of isospin related degeneracies are possible by combining independent measurements from two different detectors. We also comment on the status of searches for vector and scalar interactions for on-going multi-ton year xenon experiments.

   hep-phhep-exJHEP(2019)·68 citations
10. 10*

    Saturation corrections to dilute-dense particle production and azimuthal correlations in the Color Glass Condensate

    S. Schlichting🇩🇪 · V. Skokov🇺🇸

    We perform a numerical study of higher order saturation corrections to the dilute-dense approximation for multi-particle production in high-energy hadronic collisions in the framework of the Color Glass Condensate. We compare semi-analytical results obtained by performing a leading order expansion in the dilute field of the projectile with numerical simulations of the full Classical Yang-Mills dynamics for a number of phenomenologically relevant observables. By varying the saturation momentum of the target and the projectile, we establish the regime of validity of the dilute-dense approximation and assess the magnitude and basic features of higher order saturation corrections. In particular, we find that dilute-dense approximation faithfully reproduces dense-dense results if restricted to the range of its validity.

    hep-phnucl-thPLB(2020)·15 citations
11. 11*

    Gluon transversity in polarized proton-deuteron Drell-Yan process

    S. Kumano🇯🇵 · Qin-Tao Song🇯🇵

    Nucleon spin structure functions have been investigated mainly by longitudinally-polarized ones for finding the origin of the nucleon spin. Other types of spin structure functions are transversely-polarized ones. In particular, quark transversity distributions in the nucleons have very different properties from the longitudinally-polarized quark distribution functions, especially in scaling violation, because they are decoupled from the gluon transversity, due to the fact that they are helicity-flip (chiral-odd) distributions. Such studies are valuable for finding not only the origin of the nucleon spin but also a signature on physics beyond the standard model, because the electric dipole moment of the neutron is proportional to the transversity distributions. Now, there is experimental progress on the quark transversity distributions; however, there is no experimental information on gluon transversity. In fact, the gluon transversity does not exist for the spin-1/2 nucleon due to the helicity-conservation constraint. One needs a hadron with spin more than or equal to one, so that the helicity flip of two units is allowed. A stable spin-1 target is, for example, the deuteron for studying the gluon transversity. In this work, we propose a possibility for finding the gluon transversity at hadron-accelerator facilities, especially in the proton-deuteron Drell-Yan process with the linearly-polarized deuteron, by showing theoretical formalism and numerical results. We show the dependencies of the Drell-Yan cross section on the dimuon-mass squared $M_{\mu \mu }^2$, the dimuon transverse-momentum $q_T$, the dimuon rapidity $y$ in the center-of-momentum frame, and the magnitude of the gluon transversity ${\Delta }_{T}g$.

    hep-phhep-exhep-latnucl-thPRD(2020)·24 citations
12. 12*

    Angular ordering effects in TMD parton distribution functions and Drell-Yan $q_{\perp }$ spectra

    Aleksandra Lelek🇧🇪

    We present new results of our studies of soft-gluon angular ordering effects on the evolution of both collinear and transverse momentum dependent (TMD) parton distribution functions, and discuss their implications for precision predictions of Drell-Yan transverse momentum spectra at the LHC. Our method is based on the parton branching (PB) approach. We compare this with the implementation of angular ordering in the Kimber-Martin-Ryskin-Watt (KMRW) approach and with the Collins-Soper-Sterman (CSS) approach. We illustrate numerically the effects of different ordering scenarios ($p_{\perp }$, angular ordering), including definitions of the soft-gluon resolution scale and scale in the running coupling, on the theoretical accuracy of predictions in the low transverse momentum region of Drell-Yan spectra measured at the LHC.

    hep-ph54th Rencontres de Moriond on QCD and Hig…·0 citations
13. 13*

    Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power

    Martin Beneke🇩🇪 · Mathias Garny🇩🇪 · Sebastian Jaskiewicz🇩🇪 · Robert Szafron🇩🇪 · Leonardo Vernazza🇳🇱 · Jian Wang🇨🇳

    We sum the leading logarithms ${\alpha }_s^n{\ln }^{2n-1}(1-z)$, n=1,2,... near the kinematic threshold $z=m_H^2/\hat{s}\to 1$ at next-to-leading power in the expansion in (1-z) for Higgs production in gluon fusion. We highlight the new contributions compared to Drell-Yan production in quark-antiquark annihilation and show that the final result can be obtained to all orders by the substitution of the colour factor $C_F\to C_A$, confirming previous fixed-order results and conjectures. We also provide a numerical analysis of the next-to-leading power leading logarithms, which indicates that they are numerically relevant.

    hep-phJHEP(2020)·93 citations
14. 14*

    Genuine and Matter-induced Components of the CPV Asymmetry for Neutrino Oscillations

    Jose Bernabeu🇪🇸 · Alejandro Segarra🇪🇸

    These results represent the solution for the historical problem of the contamination by matter effects on the CPV Asymmetry for neutrino oscillations. Vacuum is CPT-symmetric and matter is T-symmetric, the goal is accomplished by using this guiding principle. Independent of the theoretical framework for the dynamics of the active neutrino flavors, we prove the Disentanglement Theorem A(CP)=A(CP, T)+A(CP, CPT) for the experimental CPV Asymmetry, with A(CP, T) genuine T-odd and A(CP, CPT) fake CPT-odd. For the effective Hamiltonian written as the sum of free mass propagation plus the matter potential for electron-neutrinos, the two components have definite parities under the baseline L, the matter potential "a", the imaginary part $\sin \delta$ of the PMNS mixing matrix and the hierarchy "h"=$\pm 1$ in the neutrino mass ordering: A(CP, T) is odd in L and $\sin \delta$ plus even in a and h; A(CP, CPT) is even in L and $\sin \delta$ plus odd in a and almost odd in h. For present terrestrial accelerator sources of muon-neutrinos and antineutrinos, the two components of the appearance CPV asymmetry A(CP) can be disentangled by either baseline dependence (HKK) or energy dependence (DUNE). At the DUNE baseline, the higher energy region above the first oscillation node provides a dominant matter-induced A(CP, CPT) component and the sign of the experimental asymmetry A(CP) gives the hierarchy in the neutrino mass ordering. On the contrary, there is a "magic energy" E around the second oscillation maximum in which the fake A(CP, CPT) component has a first-rank zero whereas the genuine A(CP, T) component has a maximum proportional to sin{\delta}. With a modest energy resolution $\Delta E\sim 200$ MeV an effective zero remains in the matter-induced A(CP, CPT).

    hep-phPoS(2020)·0 citations
15. 15*

    Highlights of EPS HEP 2019

    Jon Butterworth🇬🇧

    An opinionated and informal recap of highlights from the EPS HEP 2019 conference in Ghent, including some aspects of flavour physics, neutrinos, high-density QCD, astrophysics and energy frontier collider physics, and some thoughts about the future.

    hep-phastro-ph.HEhep-exnucl-exPoS(2020)·0 citations
16. 16*

    H-COUP Version 2: a program for one-loop corrected Higgs boson decays in non-minimal Higgs sectors

    Shinya Kanemura🇯🇵 · Mariko Kikuchi🇯🇵 · Kentarou Mawatari🇯🇵 · Kodai Sakurai🇯🇵 · Kei Yagyu🇯🇵

    We present the concept of H-COUP_ver 2, which evaluates the decay rates (including higher order corrections) for the Higgs boson with a mass of 125 GeV in various extended Higgs models. In the previous version (H-COUP_1.0), only a full set of the Higgs boson vertices are evaluated at one-loop level in a gauge invariant manner in these models. H-COUP_ver 2 contains all the functions of H-COUP_1.0. After shortly introducing these extended Higgs models and discussing their theoretical and experimental constraints, we summarize formulae for the renormalized vertices and the decay rates. We then explain how to install and run H-COUP_ver 2 with some numerical examples.

    hep-phComput.Phys.Commun.(2020)·52 citations
17. 17*

    Resonances in unitarized HEFT at the LHC

    Antonio Dobado🇪🇸 · Felipe J. Llanes-Estrada🇪🇸 · Alexandre Salas-Bernardez (Univ. Complutense Madrid)🇪🇸 · Rafael L. Delgado (INFN-Firenze)🇮🇹

    Higgs Effective Field Theory (HEFT) is deployed to study elastic vector-boson scattering at the high LHC energies. The interaction is strong over most of the parameter space, with the minimal Standard Model being a remarkable exception. One-loop HEFT complemented with dispersion relations and the Equivalence Theorem leads to two different unitarization methods which produce analytical amplitudes corresponding to different approximate solutions to the dispersion relations: the Inverse Amplitude method (IAM) and the N/D method. The partial waves obtained can show poles in the second Riemann sheet whose natural interpretation is that of dynamical resonances with masses and widths depending on the starting HEFT parameters. Different unitarizations yield qualitatively, and in many cases quantitatively, very similar results. The amplitudes obtained provide realistic resonant and nonresonant cross sections to be compared with and to be used for a proper interpretation of the LHC data.

    hep-phPoS(2020)·1 citation
18. 18*

    Searches for Atmospheric Long-Lived Particles

    Carlos Argüelles🇺🇸 · Pilar Coloma🇪🇸 · Pilar Hernández🇪🇸 · Víctor Muñoz🇪🇸

    Long-lived particles are predicted in extensions of the Standard Model that involve relatively light but very weakly interacting sectors. In this paper we consider the possibility that some of these particles are produced in atmospheric cosmic ray showers, and their decay intercepted by neutrino detectors such as IceCube or Super-Kamiokande. We present the methodology and evaluate the sensitivity of these searches in various scenarios, including extensions with heavy neutral leptons in models of massive neutrinos, models with an extra $U(1)$ gauge symmetry, and a combination of both in a $U(1{)}_{B-L}$ model. Our results are shown as a function of the production rate and the lifetime of the corresponding long-lived particles.

    hep-phhep-exJHEP(2020)·50 citations
19. 19*

    LHC constraints on the minimal Dirac gaugino model

    Guillaume Chalons (LPSC, Grenoble)🇫🇷 · Mark Goodsell (Paris, LPTHE)🇫🇷 · Sabine Kraml (LPSC, Grenoble)🇫🇷 · Humberto Reyes-González (LPSC, Grenoble)🇫🇷 · Sophie L. Williamson (Paris, LPTHE and KIT, Karlsruhe)🇫🇷

    Most SUSY searches at the LHC are optimised for the MSSM, where gauginos are Majorana particles. By introducing Dirac gauginos, we obtain an enriched phenomenology, from which considerable differences in the LHC signatures and limits are expected as compared to the MSSM. Concretely, in the minimal Dirac gaugino model (MDGSSM) we have six neutralino and three chargino states. Moreover, production cross sections are enhanced for gluinos, while for squarks they are suppressed. In this contribution, we explore the consequences of the current LHC limits on gluinos and squarks in this model.

    hep-phPoS(2020)·0 citations
20. 20*

    In Search of Large Signals at the Cosmological Collider

    Lian-Tao Wang🇺🇸 · Zhong-Zhi Xianyu🇺🇸

    We look for oscillating signals in the primordial bispectrum from new physics heavy particles which are visibly large for next generation large scale structures (LSS) survey. We show that in ordinary inflation scenarios where a slow-rolling inflaton generates density fluctuations and with no breaking of scale invariance or spacetime symmetry, there exist no naturally large signals unless the rolling inflaton generates a parity-odd chemical potential for the heavy particles. We estimate the accessibility of this signal through observations. While current CMB data are already sensitive in the most optimistic scenario, future probes, including LSS survey and 21 cm observation, can cover interesting regions of the model space.

    hep-phastro-ph.COhep-thJHEP(2020)·124 citations
21. 21*

    Minimal model for the fermion flavor structure, mass hierarchy, dark matter, leptogenesis, and the electron and muon anomalous magnetic moments

    A. E. Cárcamo Hernández🇨🇱 · D. T. Huong🇻🇳 · H. N. Long🇻🇳

    We propose a renormalizable theory with minimal particle content and symmetries, that successfully explains the number of Standard Model (SM) fermion families, the SM fermion mass hierarchy, the tiny values for the light active neutrino masses, the lepton and baryon asymmetry of the Universe, the dark matter relic density as well as the muon and electron anomalous magnetic moments. In the proposed model, the top quark and the exotic fermions do acquire tree-level masses whereas the SM charged fermions lighter than the top quark gain one-loop level masses. Besides that, the tiny masses for the light active neutrino are generated from an inverse seesaw mechanism at one-loop level.

    hep-phPRD(2020)·32 citations
22. 22*

    A thermal neutrino interaction rate at NLO

    G. Jackson🇨🇭 · M. Laine🇨🇭

    The interaction rate of an ultrarelativistic active neutrino at a temperature below the electroweak crossover plays a role in leptogenesis scenarios based on oscillations between active neutrinos and GeV-scale sterile neutrinos. By making use of a Euclideanization property of a thermal light-cone correlator, we determine the $O(g)$ correction to such an interaction rate in the high-temperature limit $\pi T\gg m_W$, finding a $\sim 15...40\%$ reduction. For a benchmark point, this NLO correction decreases the lepton asymmetries produced by $\sim 1\%$.

    hep-phNPB(2020)·11 citations
23. 23*

    Cosmological model-independent constraints on spatial curvature from strong gravitational lensing and type Ia supernova observations

    Bo Wang🇨🇳 · Jing-Zhao Qi🇨🇳 · Jing-Fei Zhang🇨🇳 · Xin Zhang🇨🇳

    Applying the distance sum rule in strong gravitational lensing (SGL) and type Ia supernova (SN Ia) observations, one can provide an interesting cosmological model-independent method to determine the cosmic curvature parameter ${\Omega }_k$. In this paper, with the newly compiled data sets including 161 galactic-scale SGL systems and 1048 SN Ia data, we place constraints on ${\Omega }_k$ within the framework of three types of lens models extensively used in SGL studies. Moreover, to investigate the effect of different mass lens samples on the results, we divide the SGL sample into three sub-samples based on the center velocity dispersion of intervening galaxies. In the singular isothermal sphere (SIS) and extended power-law lens models, a flat universe is supported with the uncertainty about 0.2, while a closed universe is preferred in the power-law lens model. We find that the choice of lens models and the classification of SGL data actually can influence the constraints on ${\Omega }_k$ significantly.

    ↳ astro-ph.COgr-qchep-phApJ(2020)·56 citations
24. 24*

    Noether currents of locally equivalent symmetries

    Tomas Brauner🇳🇴

    Local symmetry transformations play an important role for establishing the existence and form of a conserved (Noether) current in systems with a global continuous symmetry. We explain how this fact leads to the existence of linear relations between Noether currents of distinct global symmetries that coincide on the local level, thus generalizing the well-known relationship $\vec{L}=\vec{r}\times \vec{p}$ between momentum $\vec{p}$ and angular momentum $\vec{L}$. As a byproduct, we find a natural interpretation for the discrepancy between the canonical and metric energy-momentum tensors in theories of particles with spin. A symmetric energy-momentum tensor can thus be obtained from the Noether procedure without adding any ad hoc corrections or imposing additional constraints such as gauge invariance in Maxwell's electrodynamics.

    ↳ hep-thhep-phphysics.class-phPhys.Scripta(2020)·18 citations
25. 25*

    Pulsar Timing Array Constraints on Primordial Black Holes with NANOGrav 11-Year Data Set

    Zu-Cheng Chen🇨🇳 · Chen Yuan🇨🇳 · Qing-Guo Huang🇨🇳

    The detection of binary black hole coalescences by LIGO/Virgo has aroused the interest in primordial black holes (PBHs), because they could be both the progenitors of these black holes and a compelling candidate of dark matter (DM). PBHs are formed soon after the enhanced scalar perturbations re-enter horizon during radiation dominated era, which would inevitably induce gravitational waves as well. Searching for such scalar induced gravitational waves (SIGWs) provides an elegant way to probe PBHs. We perform the first direct search for the signals of SIGWs accompanying the formation of PBHs in North American Nanohertz Observatory for Gravitational waves (NANOGrav) 11-year data set. No statistically significant detection has been made, and hence we place a stringent upper limit on the abundance of PBHs at $95\%$ confidence level. In particular, less than one part in a million of the total DM mass could come from PBHs in the mass range of $[2\times 10^{-3},7\times 10^{-1}]\text{Msun}$.

    ↳ astro-ph.COgr-qchep-phhep-thPRL(2020)·198 citations
26. 26*

    A 5D, polarised, Bethe-Heitler event generator for $\gamma \to {\mu }^{+}{\mu }^{-}$ conversion

    Denis Bernard🇫🇷

    I describe a five-dimensional, polarised, Bethe-Heitler event generator of $\gamma$-ray conversions to ${\mu }^{+}{\mu }^{-}$, based on a generator for conversion to $e^{+}{e}^{-}$ developed in the past. Verifications are performed from close-to-threshold to high energies.

    ↳ physics.data-anhep-exhep-phphysics.ins-det0 citations
27. 27*

    Properties of the $ϵ$-Expansion, Lagrange Inversion and Associahedra and the $O(1)$ Model

    Thomas A. Ryttov🇩🇰

    We discuss properties of the $ϵ$-expansion in $d=4-ϵ$ dimensions. Using Lagrange inversion we write down an exact expression for the value of the Wilson-Fisher fixed point coupling order by order in $ϵ$ in terms of the beta function coefficients. The $ϵ$-expansion is combinatoric in the sense that the Wilson-Fisher fixed point coupling at each order depends on the beta function coefficients via Bell polynomials. Using certain properties of Lagrange inversion we then argue that the $ϵ$-expansion of the Wilson-Fisher fixed point coupling equally well can be viewed as a geometric expansion which is controlled by the facial structure of associahedra. We then write down an exact expression for the value of anomalous dimensions at the Wilson-Fisher fixed point order by order in $ϵ$ in terms of the coefficients of the beta function and anomalous dimensions. We finally use our general results to compute the values for the Wilson-fisher fixed point coupling and critical exponents for the scalar $O(1)$ symmetric model to $O({ϵ}^7)$.

    ↳ hep-thhep-phmath-phmath.MPJHEP(2020)·4 citations
28. 28*

    Simple encoding of higher derivative gauge and gravity counterterms

    John Joseph M. Carrasco🇺🇸 · Laurentiu Rodina🇫🇷 · Zanpeng Yin🇺🇸 · Suna Zekioglu🇺🇸

    Invoking increasingly higher dimension operators to encode novel UV physics in effective gauge and gravity theories traditionally means working with increasingly more finicky and difficult expressions. We demonstrate that local higher derivative supersymmetric-compatible operators at four-points can be absorbed into simpler higher-derivative corrections to scalar theories, which generate the predictions of Yang-Mills and Gravity operators by suitable replacements of color-weights with color-dual kinematic weights as per Bern-Carrasco-Johansson double-copy. We exploit that Jacobi-satisfying representations can be composed out of other Jacobi-satisfying representations, and show that at four-points only a small number of building blocks are required to generate the predictions of higher-derivative operators. We find that this construction saturates the higher-derivative operators contributing to the four-point supersymmetric open and closed-string tree amplitudes, presenting a novel representation of the four-point supersymmetric open string making this structure manifest, as well as identifying the only four additional gauge-invariant building blocks required to saturate the four-point bosonic open string.

    ↳ hep-thhep-phPRL(2020)·67 citations
29. 29*

    Swampland, Axions and Minimal Warm Inflation

    Suratna Das🇮🇳 · Gaurav Goswami🇮🇳 · Chethan Krishnan🇮🇳

    Warm inflation has been noted previously as a possible way to implement inflationary models compatible with the dS swampland bounds. But often in these discussions the heat bath dynamics is kept largely unspecified. We point out that the recently introduced Minimal Warm Inflation of arXiv:1910.07525, where an axionic coupling of the inflaton leads to an explicit model for the thermal bath, yields models of inflation that can easily fit cosmological observations while satisfying de Sitter swampland bounds, as well as the swampland distance bound and trans-Planckian censorship.

    ↳ hep-thastro-ph.COgr-qchep-phPRD(2020)·71 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.