Mon·Apr 5, 2021Monday·April 5, 2021

1. 01*

   Self-similar extrapolation in quantum field theory

   V.I. Yukalov🇷🇺 · E.P. Yukalova🇷🇺

   Calculations in field theory are usually accomplished by employing some variants of perturbation theory, for instance using loop expansions. These calculations result in asymptotic series in powers of small coupling parameters, which as a rule are divergent for finite values of the parameters. In this paper, a method is described allowing for the extrapolation of such asymptotic series to finite values of the coupling parameters, and even to their infinite limits. The method is based on self-similar approximation theory. This theory approximates well a large class of functions, rational, irrational, and transcendental. A method is presented, resulting in self-similar factor approximants allowing for the extrapolation of functions to arbitrary values of coupling parameters from only the knowledge of expansions in powers of small coupling parameters. The efficiency of the method is illustrated by several problems of quantum field theory.

   hep-phmath-phmath.MPPRD(2021)·8 citations
2. 02*

   Gravitational Waves from Mini-Split SUSY

   Bartosz Fornal🇺🇸 · Barmak Shams Es Haghi🇺🇸 · Jiang-Hao Yu🇨🇳 · Yue Zhao🇺🇸

   We show that color-breaking vacua may develop at high temperature in the Mini-Split Supersymmetry (SUSY) scenario. This can lead to a nontrivial cosmological history of the Universe, including strong first order phase transitions and domain wall production. Given the typical PeV energy scale associated with Mini-Split SUSY models, a stochastic gravitational wave background at frequencies around 1 kHz is expected. We study the potential for detection of such a signal in future gravitational wave experiments.

   hep-phPRD(2021)·15 citations
3. 03*

   Correlations between the strange quark condensate, strange quark mass, and kaon PCAC relation

   D. Harnett🇨🇦 · J. Ho🇺🇸 · T.G. Steele🇨🇦

   Correlations between the strange quark mass, strange quark condensate $⟨\bar{s}s⟩$, and the kaon partially conserved axial current (PCAC) relation are developed. The key dimensionless and renormalization-group invariant quantities in these correlations are the ratio of the strange to non-strange quark mass $r_m=m_s/m_q$, the condensate ratio $r_c=⟨\bar{s}s⟩/⟨\bar{q}q⟩$, and the kaon PCAC deviation parameter $r_p=-m_s⟨\bar{s}s+\bar{q}q⟩/2f_K^2{m}_K^2$. The correlations define a self-consistent trajectory in the $\{r_m,r_c,r_p\}$ parameter space constraining strange quark parameters that can be used to assess the compatibility of different predictions of these parameters. Combining the constraint with Particle Data Group (PDG) values of $r_m$ results in $\{r_c,r_p\}$ constraint trajectories that are used to asses the self-consistency of various theoretical determinations of $\{r_c,r_p\}$. The most precise determinations of $r_c$ and $r_p$ are shown to be mutually consistent with the constraint trajectories and provide improved bounds on $r_p$. In general, the constraint trajectories combined with $r_c$ determinations tend to provide more accurate bounds on $r_p$ than direct determinations. The $\{r_c,r_p\}$ correlations provide a natural identification of a self-consistent set of strange quark mass and strange quark condensate parameters.

   hep-phPRD(2021)·12 citations
4. 04*

   Leptophilic Gauge Bosons at ILC Beam Dump Experiment

   Kento Asai🇯🇵 · Takeo Moroi🇯🇵 · Atsuya Niki🇯🇵

   We study the prospects of searching for leptophilic gauge bosons (LGBs) at the beam dump experiment using $e^{\pm }$ beams of International $e^{+}{e}^{-}$ Linear Collider (ILC). We consider LGBs in association of $U(1{)}_{e-\mu }$, $U(1{)}_{e-\tau }$, and $U(1{)}_{\mu -\tau }$ gauge symmetries, which are assumed to be light and long-lived. Utilizing the energetic electron and positron beams of the ILC, we show that the ILC beam dump experiment can cover the parameter regions which have not been explored before. We also discuss the possibility of distinguishing various models.

   hep-phhep-exPLB(2021)·27 citations
5. 05*

   Radiative Seesaw Mechanism for Charged Leptons

   Cheng-Wei Chiang🇹🇼 · Kei Yagyu🇯🇵

   We discuss a mechanism where charged lepton masses are derived from one-loop diagrams mediated by particles in a dark sector including a dark matter candidate. We focus on a scenario where the muon and electron masses are generated at one loop with new $\mathcal{O}(1)$ Yukawa couplings. The measured muon anomalous magnetic dipole moment, $(g-2{)}_{\mu }$, can be explained in this framework. As an important prediction, the muon and electron Yukawa couplings can largely deviate from their standard model predictions, and such deviations can be tested at High-Luminosity LHC and future $e^{+}{e}^{-}$ colliders.

   hep-phPRD(2021)·28 citations
6. 06*

   Quark structure of the $X(4500)$, $X(4700)$ and ${\chi }_{\mathrm{c}}(4P,5P)$ states

   J. Ferretti🇫🇮 · E. Santopinto🇮🇹

   We study some of the main properties (masses and open-flavor strong decay widths) of $4P$ and $5P$ charmonia. While there are two candidates for the ${\chi }_{c0}(4P,5P)$ states, the $X(4500)$ and $X(4700)$, the properties of the other members of the ${\chi }_{\mathrm{c}}(4P,5P)$ multiplets are still completely unknown. With this in mind, we start to explore the charmonium interpretation for these mesons. Our second goal is to investigate if the apparent mismatch between the Quark Model (QM) predictions for ${\chi }_{c0}(4P,5P)$ states and the properties of the $X(4500)$ and $X(4700)$ mesons can be overcome by introducing threshold corrections in the QM formalism. According to our coupled-channel model results for the threshold mass shifts, the ${\chi }_{c0}(5P)\to X(4700)$ assignment is unacceptable, while the ${\chi }_{c0}(4P)\to X(4500)$ or $X(4700)$ assignments cannot be completely ruled out.

   hep-phFront.in Phys.(2021)·8 citations
7. 07*

   Geant4 FTF model description of the latest data by the NA61/SHINE collaboration on ${}^{40}\mathrm{Ar}+{}^{45}\mathrm{Sc}$ interactions

   A. Galoyan🇷🇺 · A. Ribon🇨🇭 · V. Uzhinsky🇷🇺

   It is shown that the Geant4 FTF model, which does not include the simulation of the hard parton-parton scattering and the formation of the quark-gluon plasma (QGP), describes well the NA61/SHINE data on ${\pi }^{-}$ meson distributions for the interactions at $\sqrt{s_{NN}}=$ 5.2, 6.1, 7.6 and 8.8 GeV. At higher energies, $\sqrt{s_{NN}}=$ 11.9 and 16.8 GeV, the model underestimates the data. This is considered as an indication of the formation of QGP at higher energies in central collisions of light and intermediate nuclei than in collisions of heavy nuclei ($\sqrt{s_{NN}}\sim 6$ GeV).

   hep-phhep-exnucl-exPhys.Part.Nucl.(2023)·1 citation
8. 08*

   Model-independent study on the anomalous $\tau \bar{\tau }\gamma$ couplings at the ILC

   M. Köksal🇹🇷

   The potential of the process $\gamma \gamma \to \tau \bar{\tau }\gamma$ is examined in a model-independent way using the effective Lagrangian approach for the ILC which is designed with standard configurations of 0.25 TeV/2000 fb${}^{-1}$, 0.35 TeV/200 fb${}^{-1}$ and 0.5 TeV/4000 fb${}^{-1}$. The limits obtained for ${\tilde{a}}_{\tau }$ and $\widetilde{d_{\tau }}$ parameters defining the anomalous $\tau \bar{\tau }\gamma$ couplings at $95\%$ confidence level and systematic uncertainties of ${\delta }_{sys}=0,5,10\%$ are compared with the experimental results. The best limits obtained without systematic error on the anomalous couplings are $-0.00082<{\tilde{a}}_{\tau }<0.00050$ and $|\widetilde{d_{\tau }}|<3.5969\times 10^{-18}$ $ecm$, respectively. Thus, our results show that $\gamma \gamma$ collisions at the ILC lead to a remarkable improvement in the existing experimental limits on the anomalous magnetic and electric dipole moments of the tau lepton.

   hep-phNPB(2021)·6 citations
9. 09*

   Scalar dark matter with $Z_3$ symmetry in Type-II Seesaw

   XinXin Qi🇨🇳 · Hao Sun🇨🇳

   We study a simple complex scalar singlet dark matter (DM) model with $Z_3$ symmetry in the framework of type-II seesaw mechanism. We use the model to explain the excess of electron-positron flux measured by AMS-02, DAMPE and Fermi-LAT collaborations, which is encouraged by the decay of the triplets produced from dark matter annihilations in the Galactic halo. We focus on the non-degenerate case in which the mass of DM is larger than that of the triplets' and deliberately alleviate the leptophilic properties of the DM, so that the semi-annihilation effects are enhanced. With the guarantee of $Z_3$ symmetry, by fitting the antiproton spectrum observed in PAMELA and AMS experiments, we find that the DM cubic terms and the couplings between DM and Higgs are strongly constrained, leading to the semi-annihilation cross section fraction less than $3\%$ when DM mass is given at 3 TeV.

   hep-phPRD(2023)·6 citations
10. 10*

    Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays

    DaZhuang He🇨🇳 · Xuan Luo🇨🇳 · YiLing Xie🇨🇳 · Hao Sun🇨🇳

    We study the decay processes of ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ to analyse the $f_1(1285)$ resonance. By the calculation within chiral unitary approach where $f_1(1285)$ resonance is dynamically generated from the $K^{\ast }\bar{K}-c.c.$ interaction, we find that the ${\bar{K}}^{\ast 0}{K}^0$ invariant mass distribution has a clear broad peak. Such broad peak has been understood as the signal of the $f_1(1285)$. Finally, we obtain a theoretical result $R_t={\Gamma }_{{\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0}/{\Gamma }_{{\bar{B}}^0\to J/\psi f_1(1285)}$ which is expected to be compared with the experimental data.

    hep-phPRD(2021)·5 citations
11. 11*

    Exploring Direct Detection Suppressed Regions in a Simple 2-Scalar Mediator Model of Scalar Dark Matter

    Jérôme Claude🇨🇦 · Stephen Godfrey (Carleton University)🇨🇦

    We explore regions of parameter space that give rise to suppressed direct detection cross sections in a simple model of scalar dark matter with a scalar portal that mixes with the standard model Higgs. We found that even this simple model allows considerable room in the parameter space that has not been excluded by direct detection limits. A number of effects leading to this result have been previously noted. Our main new result explores interference effects between different contributions to DM annihilation when the DM mass is larger than the scalar portal mass. New annihilation channels open up and the parameters of the model need to compensate to give the correct DM relic abundance, resulting in smaller direct detection cross sections. We find that even in a very simple model of DM there are still sizeable regions of parameter space that are not ruled out by experiment.

    hep-phEPJC(2021)·9 citations
12. 12*

    EUSO-SPB2 sensitivity to macroscopic dark matter

    Thomas C. Paul (CUNY) · Sarah T. Reese (CUNY) · Luis A. Anchordoqui (CUNY) · Angela V. Olinto (University of Chicago)

    Macroscopic dark matter (or macro) provides a broad class of alternative candidates to particle dark matter. These candidates would transfer energy primarily through elastic scattering, and this linear energy deposition would produce observable signals if a macro were to traverse the atmosphere. We study the fluorescence emission produced by a macro passing through the atmosphere. We estimate the sensitivity of EUSO-SPB2 to constrain the two-dimensional parameter space ($\sigma$ vs. $M$), where $M$ is the macro mass and $\sigma$ its cross sectional area.

    hep-phastro-ph.HEPoS(2021)·7 citations
13. 13*

    Dynamical evolution of magnetic field in the pre-equilibrium quark-gluon plasma

    Li Yan🇨🇳 · Xu-Guang Huang🇨🇳

    High-energy heavy-ion collisions generate extremely strong magnetic field which plays a key role in a number of novel quantum phenomena in quark-gluon plasma (QGP), such as the chiral magnetic effect (CME). However, due to the complexity in theoretical modellings of the coupled electromagnetic fields and the QGP system, especially in the pre-equilibrium stages, the lifetime of the magnetic field in the QGP medium remains undetermined. We establish, for the first time, a kinetic framework to study the dynamical decay of the magnetic field in the early stages of a weakly coupled QGP by solving the coupled Boltzmann and Maxwell equations. We find that at late times a magnetohydrodynamical description of the coupled system emerges. With respect to realistic collisions at RHIC and the LHC, we estimate the residual strength of the magnetic field in the QGP when the system start to evolve hydrodynamically.

    ↳ nucl-thhep-phnucl-exPRD(2023)·65 citations
14. 14*

    The Hopf Algebra Structure of the Two Loop Three Mass Non-Planar Feynman Diagram

    B. Ananthanarayan🇮🇳 · Abhijit B. Das🇮🇳 · Daniel Wyler🇨🇭

    The method of using Hopf algebras for calculating Feynman integrals developed by Abreu et al. is applied to the two-loop non-planar on-shell diagram with massless propagators and three external mass scales. We show that the existence of the method of cut Feynman diagrams comprising of the coproduct, the first entry condition and integrability condition that was found to be true for the planar case also holds for the non-planar case; furthermore, the non-planar symbol alphabet is the same as for the planar case. This is one of the main results of this work, and they have been obtained by a systematic analysis of the relevant cuts, using the symbolic manipulation codes HypExp and PolyLogTools. The obtained result for the symbol is cross-checked by an analysis of the known two-loop original Feynman integral result. In addition, we also reconstruct the full result from the symbol. This is the other main result in this paper.

    ↳ hep-thhep-phPRD(2021)·8 citations
15. 15*

    Exact summation of leading logs around $T\bar{T}$ deformation of $O(N+1)$-symmetric 2D QFTs

    Jonas Linzen🇩🇪 · Maxim V. Polyakov🇩🇪 · Kirill M. Semenov-Tian-Shansky🇷🇺 · Nika S. Sokolova🇷🇺

    We consider a general (beyond $T\bar{T}$) deformation of the 2D $O(N+1)$ $\sigma$-model by the irrelevant dimension-four operators. The theory deformed in this most general way is not integrable, and the $S$-matrix loses its factorization properties. We perform the all-order summation of the leading infrared logs for the $2\to 2$ scattering amplitude and provide the exact result for the $2\to 2$ $S$-matrix in the leading logarithmic approximation. These results can provide us with new insights into the properties of the theories deformed by irrelevant operators more general than the $T\bar{T}$ deformation.

    ↳ hep-thhep-phJHEP(2021)·2 citations
16. 16*

    Some Exact Results in QCD-like Theories

    Hitoshi Murayama🇺🇸

    I propose a controlled approximation to QCD-like theories with massless quarks by employing supersymmetric QCD perturbed by anomaly-mediated supersymmetry breaking. They have identical massless particle contents. Thanks to the ultraviolet-insensitivity of anomaly mediation, dynamics can be worked out exactly when $m\ll \Lambda$, where $m$ is the size of supersymmetry breaking and $\Lambda$ the dynamical scale of the gauge theory. I demonstrate that chiral symmetry is dynamically broken for $N_f\le \frac{3}{2}{N}_c$ while the theories lead to non-trivial infrared fixed points for larger number of flavors. While there may be a phase transition as $m$ is increased beyond $\Lambda$, qualitative agreements with expectations in QCD are encouraging and suggest that two limits $m\ll \Lambda$ and $m\gg \Lambda$ may be in the same universality class.

    ↳ hep-thhep-phPRL(2021)·48 citations
17. 17*

    Functional integral method for potential scattering amplitude in quantum mechanics

    Cao Thi Vi Ba🇻🇳 · Do Thu Ha🇻🇳 · Nguyen Nhu Xuan🇻🇳

    The functional integral method can be used in quantum mechanics to find the scattering amplitude for particles in the external field. We will obtain the potential scattering amplitude form the complete Green function in the corresponding external field through solving the Schrodinger equation, after being separated from the poles on the mass shell, which takes the form of an eikonal (Glauber) representation in the high energy region and the small scattering angles. Consider specific external potentials such as the Yukawa or Gaussian potential, we will find the corresponding differential scattering cross-sections.

    ↳ quant-phhep-phhep-th0 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.