Wed·Sep 4, 2019Wednesday·September 4, 2019

1. 01*

   Dirac neutrinos in the 2HDM with restrictive Abelian symmetries

   S. S. Correia🇵🇹 · R. G. Felipe🇵🇹 · F. R. Joaquim🇵🇹

   Recently, there has been a growing interest in extensions of the Standard Model in which naturally small Dirac neutrino masses arise due to existence of a symmetry which protects neutrino's Diracness. Motivated by this, we consider an extension of the Standard Model with a second Higgs doublet (2HDM) and three right-handed neutrinos where lepton number is conserved and, thus, neutrinos are Dirac particles. In this framework, we identify the most restrictive texture-zero combinations for the Dirac-neutrino and charged-lepton mass matrices that lead to masses and mixings compatible with current experimental data. We then investigate, in a systematic way, which of these combinations can be realized by Abelian continuous U(1) or discrete ${\mathbb{Z}}_N$ symmetries. We conclude that, from the 28 initially possible sets of maximally-restricted lepton mass matrices, only 5 have a symmetry realization in the 2HDM. For these cases, one-to-one relations among the Yukawa couplings and the neutrino mass and mixing parameters are established, and the fermion interactions with the neutral and charged scalars of the 2HDM are also determined. Consequences for lepton universality in $\tau$ decays and rare lepton-flavor-violating processes are also discussed.

   hep-phPRD(2019)·23 citations
2. 02*

   Simple explanation of strong suppression of fermionic EFT operators and custodial symmetry breaking

   Adolfo Guevara🇪🇸 · Fernando Alvarado🇪🇸 · Juan José Sanz Cillero🇪🇸

   The present approach relies on the SM chiral symmetry breaking pattern $SU(2{)}_L\otimes SU(2{)}_R\to SU(2{)}_{L+R}$, with the EW Goldstone bosons given in a non-linear realization and the Higgs boson described by an EW singlet field. In addition, we assume the presence of new physics heavy states around the TeV scale that do not couple to the SM fermions, only to the SM bosonic sector. However, the mixing between gauge bosons and BSM resonances induces a small indirect interaction between the BSM sector and the SM fermions. This leads to an important suppression of the fermionic operators in the low-energy EW effective theory (bilinear and four-fermion operators) in comparison with the purely bosonic ones. This naturally explains the strong experimental bounds on fermionic operators and why these resonances could not be yet detected: even if energies of the order of the TeV can be reached in present and future accelerators, their production from initial SM fermions yields a very small cross section because of this suppression mechanism. On the other hand, they can leave an imprint in SM boson measurements accessible to future experimental runs (e.g., the oblique $S$ and $T$ parameters). Finally, we compare our results with constraints from collider data.

   hep-phPoS(2019)·1 citation
3. 03*

   Drag force on heavy quarks from holographic QCD

   Yuanhui Xiong🇨🇳 · Xingzheng Tang🇨🇳 · Zhongjie Luo🇨🇳

   We study the drag force of a relativistic heavy quark using a holographic QCD model with conformal invariance broken by a background dilaton. We analyze the effects of chemical potential and confining scale on this quantity, respectively. It is shown that the drag force in this model is larger than that of $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) plasma. In particular, the inclusion of the chemical potential and confining scale both enhance the drag force, in agreement with earlier findings. Also, we discuss how chemical potential and confining scale influence the diffusion coefficient.

   hep-phCPC(2019)·10 citations
4. 04*

   Spin dependent gluon distributions and their measurement in heavy quark production processes

   Gary R. Goldstein🇺🇸

   Gluon PDFs, GPDs and TMDs play a significant role in an array of scattering processes, including SIDIS, DVCS, exclusive meson electroproduction and p - p scattering. Spin dependent gluon distributions can lead to distinctive features in the angular dependences and asymmetries of the scattering processes. Of particular interest are heavy quark production processes, wherein spin observables of the heavy quarks adumbrate the underlying gluon spin dependences. Top pair production at LHC is a prime example that proceeds primarily via gluon fusion. Decays of polarized top pairs through various channels produce a variety of correlations among the decay products - particles and jets. Combinations of the gluon distributions, either polarized or unpolarized, can be accessed experimentally through angular dependences of decay products, as will be shown, along with predictions from a "flexible" spectator model of gluon distributions.

   hep-phPoS(2019)·0 citations
5. 05*

   Modelling the inverse Zeno effect for the neutron decay

   Francesco Giacosa🇵🇱

   Beam and trap methods find incompatible results for the lifetime of the neutron: the former delivers a value which is about $8.7\pm 2.1$ s longer than the latter. Very recently (1906.10024) it has been proposed that the inverse Zeno effect (IZE) could be responsible for the shorter lifetime in trap experiments. Here, we compare two different models of measurement, one obtained by bang-bang measurements and by a continuous measurement: the IZE turns out to be in both cases very similar, showing that the results do not depend on the details of the measurement process.

   hep-phquant-phActa Phys.Polon.B(2020)·3 citations
6. 06*

   QCD at finite isospin density: chiral perturbation theory confronts lattice data

   Prabal Adhikari🇺🇸 · Jens O. Andersen🇳🇴

   We consider the thermodynamics of three-flavor QCD in the pion-condensed phase at nonzero isospin chemical potential (${\mu }_I$) and vanishing temperature using chiral perturbation theory in the isospin limit. The transition from the vacuum phase to a superfluid phase with a Bose-Einstein condensate of charged pions is shown to be second order and takes place at ${\mu }_I=m_{\pi }$. We calculate the pressure, isospin density, and energy density to next-to-leading order in the low-energy expansion. Our results are compared with recent high-precision lattice simulations as well as previously obtained results in two-flavor chiral perturbation theory. The agreement between the lattice results and the predictions from three-flavor chiral perturbation theory is very good for ${\mu }_I<200$ MeV. For larger values of ${\mu }_I$, the agreement between lattice data and the two-flavor predictions is surprisingly good and better than with the three-flavor predictions. Finally, in the limit $m_s\gg m_u=m_d$, we show that the three-flavor observables reduce to the two-flavor observables with renormalized parameters. The disagreement between the results for two-flavor and three-flavor $\chi$PT can largely be explained by the differences in the measured low-energy constants.

   hep-phnucl-thPLB(2020)·50 citations
7. 07*

   $|V_{ub}|$ determination and testing of lepton flavour universality in semileptonic $B_c\to D^{(\ast )}$ decays

   Domagoj Leljak🇭🇷 · Blazenka Melic🇭🇷

   In light of prospects for measurements of $B_c\to D^{(\ast )}l\nu$ decays in the upcoming Upgrade II of the LHC, we show that by using calculated $B_c\to D^{(\ast )}$ form factors competitive extraction of the $|V_{ub}|$ CKM matrix element from the $B_c\to D\mu {\bar{\nu }}_{\mu }$ decay might be possible. To minimize experimental and theoretical uncertainties we provide the ratio $|V_{ub}|/|V_{cb}|$ by normalizing the $B_c\to D^{(\ast )}\mu {\bar{\nu }}_{\mu }$ to $B_c\to J/\psi \mu {\bar{\nu }}_{\mu }$ decay. We also briefly examine the suggestion to extract $|V_{ub}|/|V_{cs}|$ from the theoretically interesting ratio of $B_c\to D^{0}e{\bar{\nu }}_e$ and $B_c\to B_{s}e{\bar{\nu }}_e$ decay rates in the zero-recoil limit. With the present average value of $|V_{ub}|$, the predicted branching ratios are estimated to be $BR(B_c\to D^0\mu {\bar{\nu }}_{\mu })=(2.4\pm 0.4)\cdot 10^{-5}$ and $BR(B_c\to D^{\ast }\mu {\bar{\nu }}_{\mu })=(7\pm 3)\cdot 10^{-5}$, and the semileptonic ratios for testing the lepton flavour universality in these $B_c$ decays are $R_c(D^0)=0.64\pm 0.05$ and $R_c(D^{\ast })=0.55\pm 0.05$. We also provide $q^2$ distributions and various angular observables of $B_c\to D^{(\ast )}l\nu$ decays.

   hep-phhep-exJHEP(2020)·12 citations
8. 08*

   Deciphering the AMS cosmic-ray positron flux

   A. De Rújula🇪🇸

   The flux of cosmic-ray high-energy positrons has recently been measured by AMS with unprecedented precision. This flux is well above the expectation from secondary positrons made by the observed fluxes of nuclear cosmic rays impinging on the interstellar medium. Various authors have pointed out that the positron excess may originate at the primary cosmic-ray source itself, rather than in the more local ISM, thus avoiding the temptation to invoke a dark-matter decay or annihilation origin, or nearby pulsars. We investigate the possibility that the source is the one of a comprehensive model of gamma-ray bursts and cosmic rays, proposed two decades ago. The result, based on the original unmodified priors of the model --and with no fitting of parameters-- very closely reproduces the shape and magnitude of the AMS observations.

   hep-phastro-ph.HE4 citations
9. 09*

   Lund jet images from generative and cycle-consistent adversarial networks

   Stefano Carrazza🇮🇹 · Frédéric A. Dreyer🇬🇧

   We introduce a generative model to simulate radiation patterns within a jet using the Lund jet plane. We show that using an appropriate neural network architecture with a stochastic generation of images, it is possible to construct a generative model which retrieves the underlying two-dimensional distribution to within a few percent. We compare our model with several alternative state-of-the-art generative techniques. Finally, we show how a mapping can be created between different categories of jets, and use this method to retroactively change simulation settings or the underlying process on an existing sample. These results provide a framework for significantly reducing simulation times through fast inference of the neural network as well as for data augmentation of physical measurements.

   hep-phcs.LGeess.IVhep-ex+1EPJC(2019)·56 citations
10. 10*

    Three-loop form factors for Higgs boson pair production in the large top mass limit

    Joshua Davies🇩🇪 · Matthias Steinhauser🇩🇪

    We consider the virtual corrections to Higgs boson pair production at next-to-next-to-leading order, in the large top quark mass limit. We compute five expansion terms for the box-type form factors and eight expansion terms for the triangle form factor, which serve as useful input for the construction of approximations. We present analytic results for the form factors in the soft-virtual approximation. From a technical point of view the calculation is quite challenging since huge intermediate expressions are produced. We describe our methods and optimizations to overcome these difficulties, which might be useful for other calculations.

    hep-phJHEP(2019)·29 citations
11. 11*

    IR Dynamics from UV Divergences: UV/IR Mixing, NCFT, and the Hierarchy Problem

    Nathaniel Craig🇺🇸 · Seth Koren🇺🇸

    The persistence of the hierarchy problem points to a violation of effective field theory expectations. A compelling possibility is that this results from a physical breakdown of EFT, which may arise from correlations between ultraviolet (UV) and infrared (IR) physics. To this end, we study noncommutative field theory (NCFT) as a toy model of UV/IR mixing which generates an emergent infrared scale from ultraviolet dynamics. We explore the range of such theories where ultraviolet divergences are transmogrified into infrared scales, focusing particularly on the properties of Yukawa theory, where we identify a new infrared pole accessible in the $s$-channel of the Lorentzian theory. We further investigate the interplay between UV-finiteness and UV/IR mixing by studying properties of the softly-broken noncommutative Wess-Zumino model as soft terms are varied relative to the cutoff. While the Lorentz violation inherent to noncommutative theories may limit their direct application to the hierarchy problem, these toy models provide general lessons to guide the realization of UV/IR mixing in more realistic theories.

    hep-phhep-thJHEP(2020)·37 citations
12. 12*

    Hyperasymptotic approximation to the top, bottom and charm pole mass

    Cesar Ayala🇨🇱 · Xabier Lobregat🇪🇸 · Antonio Pineda🇪🇸

    We construct hyperasymptotic expansions for the heavy quark pole mass regulated using the principal value (PV) prescription. We apply such hyperasymptotic expansions to the $B/D$ meson masses, and $\bar{\Lambda }$ computed in the lattice. The issue of the uncertainty of the (top) pole mass is critically reexamined. The present theoretical uncertainty in the relation between ${\bar{m}}_t$, the $\overline{\mathrm{MS}}$ top mass, and $m_{t,\mathrm{PV}}$, the top pole mass regulated using the PV prescription, is numerically assessed to be $\delta m_{t,\mathrm{PV}}=28\mathrm{MeV}$ for ${\bar{m}}_t=163$ GeV.

    hep-phhep-latPRD(2020)·39 citations
13. 13*

    Probing P and CP Violations on the Cosmological Collider

    Tao Liu🇨🇳 · Xi Tong🇨🇳 · Yi Wang🇨🇳 · Zhong-Zhi Xianyu🇺🇸

    In direct analogy to the 4-body decay of a heavy scalar particle, the 4-point correlation function of primordial fluctuations carries P and CP information. The CP violation appears as a P-odd angular dependence in the imaginary part of the trispectrum in momentum space. We construct a model with axion-like couplings which leads to observably large CP-violating trispectrum for future surveys. Furthermore, we show the importance of on-shell particle production in observing P- and CP-violating signals. It is impossible to observe these signals from local 4-scalar EFT operators that respect dS isometries, and thus any such observation can rule out single-field EFT with sufficiently small slow-roll parameters. This calculation opens a new frontier of studying P and CP at very high energy scales.

    hep-phastro-ph.COgr-qchep-thJHEP(2020)·121 citations
14. 14*

    Probing the gravitational wave background from cosmic strings with LISA

    Pierre Auclair🇫🇷 · Jose J. Blanco-Pillado🇪🇸 · Daniel G. Figueroa🇨🇭 · Alexander C. Jenkins🇬🇧 · Marek Lewicki🇬🇧 · Mairi Sakellariadou🇬🇧 · Sotiris Sanidas🇬🇧 · Lara Sousa🇵🇹 · Daniele A. Steer🇫🇷 · Jeremy M. Wachter🇪🇸 · Sachiko Kuroyanagi🇯🇵

    Cosmic string networks offer one of the best prospects for detection of cosmological gravitational waves (GWs). The combined incoherent GW emission of a large number of string loops leads to a stochastic GW background (SGWB), which encodes the properties of the string network. In this paper we analyze the ability of the Laser Interferometer Space Antenna (LISA) to measure this background, considering leading models of the string networks. We find that LISA will be able to probe cosmic strings with tensions $G\mu \gtrsim \mathcal{O}(10^{-17})$, improving by about $6$ orders of magnitude current pulsar timing arrays (PTA) constraints, and potentially $3$ orders of magnitude with respect to expected constraints from next generation PTA observatories. We include in our analysis possible modifications of the SGWB spectrum due to different hypotheses regarding cosmic history and the underlying physics of the string network. These include possible modifications in the SGWB spectrum due to changes in the number of relativistic degrees of freedom in the early Universe, the presence of a non-standard equation of state before the onset of radiation domination, or changes to the network dynamics due to a string inter-commutation probability less than unity. In the event of a detection, LISA's frequency band is well-positioned to probe such cosmic events. Our results constitute a thorough exploration of the cosmic string science that will be accessible to LISA.

    ↳ astro-ph.COgr-qchep-phJCAP(2020)·386 citations
15. 15*

    The Speed of Gravity

    Claudia de Rham🇬🇧 · Andrew J. Tolley🇬🇧

    Within the standard effective field theory of General Relativity, we show that the speed of gravitational waves deviates, ever so slightly, from luminality on cosmological and other spontaneously Lorentz-breaking backgrounds. This effect results from loop contributions from massive fields of any spin, including Standard Model fields, or from tree level effects from massive higher spins $s\ge 2$. We show that for the choice of interaction signs implied by S-matrix and spectral density positivity bounds suggested by analyticity and causality, the speed of gravitational waves is in general superluminal at low-energies on NEC preserving backgrounds, meaning gravitational waves travel faster than allowed by the metric to which photons and Standard Model fields are minimally coupled. We show that departure of the speed from unity increases in the IR and argue that the speed inevitably returns to luminal at high energies as required by Lorentz invariance. Performing a special tuning of the EFT so that renormalization sensitive curvature-squared terms are set to zero, we find that finite loop corrections from Standard Model fields still lead to an epoch dependent modification of the speed of gravitational waves which is determined by the precise field content of the lightest particles with masses larger than the Hubble parameter today. Depending on interpretation, such considerations could potentially have far-reaching implications on light scalar models, such as axionic or fuzzy cold dark matter.

    ↳ hep-thastro-ph.COgr-qchep-phPRD(2020)·113 citations
16. 16*

    Chiral-spin symmetry of the meson spectral function above $T_c$

    C. Rohrhofer🇯🇵 · Y. Aoki🇯🇵 · L. Ya. Glozman🇦🇹 · S. Hashimoto🇯🇵

    Recently, via calculation of spatial correlators of $J=0,1$ isovector operators using a chirally symmetric Dirac operator within $N_F=2$ QCD, it has been found that QCD at temperatures $T_c-3T_c$ is approximately $SU(2{)}_{CS}$ and $SU(4)$ symmetric. The latter symmetry suggests that the physical degrees of freedom are chirally symmetric quarks bound by the chromoelectric field into color singlet objects without chromomagnetic effects. This regime of QCD has been referred to as a Stringy Fluid. Here we calculate correlators for propagation in time direction at a temperature slightly above $T_c$ and find the same approximate symmetries. This means that the meson spectral function is chiral-spin and $SU(4)$ symmetric.

    ↳ hep-lathep-phhep-thnucl-thPLB(2020)·51 citations
17. 17*

    Quadratic and quartic integrals using the method of brackets

    B Ananthanarayan🇮🇳 · Sumit Banik🇮🇳 · Sudeepan Datta · Tanay Pathak🇮🇳

    We use the method of brackets to evaluate quadratic and quartic type integrals. We recall the operational rules of the method and give examples to illustrate its working. The method is then used to evaluate the quadratic type integrals which occur in entries 3.251.1,3,4 in the table of integrals by Gradshteyn and Ryzhik and obtain closed form expressions in terms of hypergeometric functions. The method is further used to evaluate the quartic integrals, entry 2.161.5 and 6 in the table. We also present generalization of both types of integrals with closed form expression in terms of hypergeometric functions.

    ↳ math-phhep-phmath.MPScientia(2019)·3 citations
18. 18*

    Stimulated radar collider for testing a model of dark energy

    Kensuke Homma🇯🇵 · Yuri Kirita🇯🇵

    We propose a stimulated pulsed-radar collider for testing a dilaton model with the mass of $\sim 10^{-7}$ eV as a candidate of dark energy. We have extended formulae for stimulated resonant photon-photon scattering in a quasi-parallel collision system by including fully asymmetric collision cases. With a pulse energy of 100 J in the GHz-band, for instance, which is already achieved by an existing klystron, we expect that the sensitivity can reach gravitationally weak coupling domains, if two key technological issues are resolved: pulse compression in time reaching the Fourier transform limit, and single-photon counting for GHz-band photons. Such testing might extend the present horizon of particle physics.

    ↳ hep-exgr-qchep-phJHEP(2020)·18 citations
19. 19*

    One-photon pair-annihilation in pulsed plane-wave backgrounds

    S. Tang🇬🇧 · A. Ilderton🇬🇧 · B. King🇬🇧

    We study the $2\to 1$ process of electron-positron pair annihilation to a single photon in a plane-wave background. The probability of the process in a pulsed plane wave is presented, and a locally constant field approximation is derived and benchmarked against exact results. The stricter kinematics of annihilation (compared to the $1\to 2$ processes usually studied) leads to a stronger dependence on the incoming particle states. We demonstrate this by studying the effect that initial state wavepackets have on the annihilation probability. The effect of annihilation in a distribution of particles is studied by incorporating the process into Monte Carlo simulations.

    ↳ physics.plasm-phhep-phPRA(2019)·18 citations
20. 20*

    Quasi-Compact Q-Balls

    D. Bazeia🇧🇷 · M.A. Marques🇧🇷 · R. Menezes🇧🇷

    This work deals with charged nontopological solutions that appear in relativistic models described by a single complex scalar field in two-dimensional spacetime. We study a model which supports novel analytical configurations of the Q-ball type, that engender double exponential tails, in this sense being different from both the standard and compact Q-balls. The analytical solutions are also stable, both classically and quantum-mechanically, and the stability follows as in the case of the compact configurations.

    ↳ hep-thhep-phEPL(2019)·7 citations
21. 21*

    The Epsilon Expansion Meets Semiclassics

    Gil Badel🇨🇭 · Gabriel Cuomo🇨🇭 · Alexander Monin🇨🇭 · Riccardo Rattazzi🇨🇭

    We study the scaling dimension ${\Delta }_{{\varphi }^n}$ of the operator ${\varphi }^n$ where $\varphi$ is the fundamental complex field of the $U(1)$ model at the Wilson-Fisher fixed point in $d=4-\epsilon$. Even for a perturbatively small fixed point coupling ${\lambda }_{\ast }$, standard perturbation theory breaks down for sufficiently large ${\lambda }_{\ast }n$. Treating ${\lambda }_{\ast }n$ as fixed for small ${\lambda }_{\ast }$ we show that ${\Delta }_{{\varphi }^n}$ can be successfully computed through a semiclassical expansion around a non-trivial trajectory, resulting in $${\Delta }_{{\varphi }^n}=\frac{1}{{\lambda }_{\ast }}{\Delta }_{-1}({\lambda }_{\ast }n)+{\Delta }_0({\lambda }_{\ast }n)+{\lambda }_{\ast }{\Delta }_1({\lambda }_{\ast }n)+\dots$$ We explicitly compute the first two orders in the expansion, ${\Delta }_{-1}({\lambda }_{\ast }n)$ and ${\Delta }_0({\lambda }_{\ast }n)$. The result, when expanded at small ${\lambda }_{\ast }n$, perfectly agrees with all available diagrammatic computations. The asymptotic at large ${\lambda }_{\ast }n$ reproduces instead the systematic large charge expansion, recently derived in CFT. Comparison with Monte Carlo simulations in $d=3$ is compatible with the obvious limitations of taking $\epsilon =1$, but encouraging.

    ↳ hep-thcond-mat.stat-mechcond-mat.str-elhep-phJHEP(2019)·126 citations
22. 22*

    Cooling binary neutron star remnants via nucleon-nucleon-axion bremsstrahlung

    Tim Dietrich🇳🇱 · Katy Clough🇬🇧

    The QCD axion is a hypothetical particle motivated by the Strong CP problem of particle physics. One of the primary ways in which its existence can be inferred is via its function as an additional cooling channel in stars, with some of the strongest constraints coming from the supernova observation SN1987A. Multimessenger observations of binary neutron star mergers (such as those of GW170817, AT2017gfo, and GRB170817A) may provide another scenario in which such constraints could be obtained. In particular, the axion could potentially alter the lifetime, the ejection of material, and the emitted gravitational wave signal of the postmerger remnant. In this article, we perform numerical relativity simulations of a binary neutron star merger, including a phenomenological description of the nucleon-nucleon-axion bremsstrahlung to quantify the effects of such a cooling channel on the dynamical evolution. While our simulations show a difference in the temperature profile of the merger remnant, the imprint of the axion via nucleon-nucleon-axion bremsstrahlung on the emitted gravitational wave signal and the ejecta mass is too small to improve constraints on the axion mass with current or future planned detectors. Whilst we consider a limited number of cases, and a simplified cooling model, these broadly represent the "best case" scenario, thus, a more thorough investigation is unlikely to change the conclusions, at least for this particular interaction channel.

    ↳ gr-qcastro-ph.HEhep-phnucl-thPRD(2019)·40 citations
23. 23*

    Thermodynamics of 4D Dilatonic Black Holes and the Weak Gravity Conjecture

    Gregory J. Loges🇺🇸 · Toshifumi Noumi🇯🇵 · Gary Shiu🇺🇸

    Taking a thermodynamic perspective, we study the weak gravity conjecture in the context of 4D Einstein-Maxwell-dilaton theory. We find closed-form expressions for the corrected thermodynamic quantities in the presence of four-derivative terms in the action, and in particular the charge-to-mass ratio and entropy, for several families of solutions of special magnetic-to-electric charge ratio or dilaton coupling constant. Assuming that dyonic black holes themselves are the conjectured charged states, this places constraints on the Wilson coefficients of the theory which we show are satisfied under mild assumptions on the UV theory.

    ↳ hep-thgr-qchep-phPRD(2020)·79 citations
24. 24*

    The Duality Between Color and Kinematics and its Applications

    Zvi Bern🇺🇸 · John Joseph Carrasco🇺🇸 · Marco Chiodaroli🇸🇪 · Henrik Johansson🇸🇪 · Radu Roiban🇺🇸

    This review describes the duality between color and kinematics and its applications, with the aim of gaining a deeper understanding of the perturbative structure of gauge and gravity theories. We emphasize, in particular, applications to loop-level calculations, the broad web of theories linked by the duality and the associated double-copy structure, and the issue of extending the duality and double copy beyond scattering amplitudes. The review is aimed at doctoral students and junior researchers both inside and outside the field of amplitudes and is accompanied by various exercises.

    ↳ hep-thgr-qchep-phJ.Phys.A(2024)·634 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.