Mon·Sep 20, 2021Monday·September 20, 2021

1. 01*

   Lepton Number Violation: from $0\nu \beta \beta$ Decay to Long-Lived Particle Searches

   Gang Li🇺🇸 · Michael J. Ramsey-Musolf🇨🇳 · Shufang Su🇺🇸 · Juan Carlos Vasquez🇺🇸

   We study the complementary tests of lepton number violation in $0\nu \beta \beta$-decay experiments, long-lived particle (LLP) searches at the LHC main detectors ATLAS/CMS, and a proposed far detector MATHUSLA. In the context of a simplified model with a scalar doublet $S$ and a Majorana fermion $F$, we show that while the $0\nu \beta \beta$-decay experiments can probe a larger portion of parameter space, the LLP searches can uniquely probe the region of smaller couplings and masses if $S$ is at TeV scale while $F$ is at or below the electroweak scale. We also investigate constraints on the parameter space from the existing searches that are insensitive to lepton number violation.

   hep-phhep-exPRD(2022)·14 citations
2. 02*

   Multi-jet physics at high-energy colliders and TMD parton evolution

   A. Bermudez Martinez🇩🇪 · F. Hautmann🇬🇧 · M.L. Mangano🇨🇭

   We discuss implications of the evolution of transverse momentum dependent (TMD) parton distributions on the structure of multi-jet states at high energies. In particular we analyze the theoretical systematics associated with multi-jet merging. We introduce a new merging methodology incorporating TMDs, illustrate its main features and present a comparison of our theoretical results with experimental measurements for Z-boson + jets production at the Large Hadron Collider (LHC).

   hep-ph20 citations
3. 03*

   Monte Carlo simulations of neutrino and charged lepton propagation in the Earth with nuPyProp

   Sameer Patel🇺🇸 · Mary Hall Reno🇺🇸 · Yosui Akaike🇯🇵 · Luis Anchordoqui🇺🇸 · Douglas Bergman🇺🇸 · Isaac Buckland🇺🇸 · Austin Cummings🇮🇹 · Johannes Eser🇺🇸 · Claire Guépin🇺🇸 · John F. Krizmanic🇺🇸 · Simon Mackovjak🇸🇰 · Angela Olinto🇺🇸 and 7 other authors

   An accurate modeling of neutrino flux attenuation and the distribution of leptons they produce in transit through the Earth is an essential component to determine neutrino flux sensitivities of underground, sub-orbital and space-based detectors. Through neutrino oscillations over cosmic distances, astrophysical neutrino sources are expected to produce nearly equal fluxes of electron, muon and tau neutrinos. Of particular interest are tau neutrinos that interact in the Earth at modest slant depths to produce $\tau$-leptons. Some $\tau$-leptons emerge from the Earth and decay in the atmosphere to produce extensive air showers. Future balloon-borne and satellite-based optical Cherenkov neutrino telescopes will be sensitive to upward air showers from tau neutrino induced $\tau$-lepton decays. We present nuPyProp, a python code that is part of the nuSpaceSim package. nuPyProp generates look-up tables for exit probabilities and energy distributions for ${\nu }_{\tau }\to \tau$ and ${\nu }_{\mu }\to \mu$ propagation in the Earth. This flexible code runs with either stochastic or continuous electromagnetic energy losses for the lepton transit through the Earth. Current neutrino cross section models and energy loss models are included along with templates for user input of other models. Results from nuPyProp are compared with other recent simulation packages for neutrino and charged lepton propagation. Sources of modeling uncertainties are described and quantified.

   hep-phPoS(2021)·9 citations
4. 04*

   Finite-temperature effects on D-meson properties

   Juan M. Torres-Rincon🇩🇪 · Glòria Montaña🇪🇸 · Àngels Ramos🇪🇸 · Laura Tolos🇪🇸

   We study the spectroscopy and transport properties of charmed mesons in a thermal medium by applying an effective field theory based on chiral and heavy-quark symmetries in the imaginary time formalism. Relying on unitarity constraints and self-consistency we extract the in-medium properties (masses and widths) of $D$ and $D_s$ mesons and their interactions with light hadrons. We report our findings on 1) dynamically generated states, 2) thermal evolution of chiral partners, 3) in-medium scattering amplitudes, and 4) transport coefficients below the chiral restoration temperature.

   hep-phnucl-thPoS(2021)·0 citations
5. 05*

   Proposal to detect a moving triangle singularity in $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process

   Qi Huang🇨🇳 · Jia-Jun Wu🇨🇳

   In this work, we propose that there exists a moving triangle singularity in the $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process, whose position can vary from 1.158 to 1.181 GeV in the invariant mass spectrum of $K^{+}{K}^{-}$. After a precise analysis on this process, it turns out that after doing some cuts on $m_{{\pi }^{+}{\pi }^{-}}$, experiments do have the opportunity to observe this triangle singularity. In addition, when changing the cuts on $m_{{\pi }^{+}{\pi }^{-}}$, the movement of the predicted triangle singularity can also be observed. Thus, we suggest future experiments, especially Super Tau-Charm Facility (STCF), to do an anlysis on the $\psi (2S)\to {\pi }^{+}{\pi }^{-}{K}^{+}{K}^{-}$ process to verify our prediction.

   hep-phPRD(2021)·8 citations
6. 06*

   Multi-Higgs Models: model building, phenomenology and renormalization

   Duarte Fontes🇵🇹

   In this thesis, we investigate several aspects of models with a multiplicity of Higgs bosons. We start by focusing on models with two Higgs doublets. We claim that one of the most used models in the literature -- the so-called real 2-Higgs-Doublet Model (2HDM) -- is inconsistent. We give special emphasis to the model that corrects it in the most simple way, the complex 2HDM; we study its phenomenology in the lowest order of perturbation theory and describe its renormalization in the following order. Motivated by this renormalization, we analyze in detail tadpole schemes that allow the selection of the true vacuum expectation value in models with spontaneous symmetry breaking, and we propose a theorem regarding the finitude of Green's functions with corrections to the external legs. Given the complexity of the calculations involved, it is crucial to dispose of an appropriate software. We therefore present FeynMaster, which calculates, among other things, Feynman rules, radiative corrections and counterterms in a simultaneously automatic and flexible way. We use the potential of FeynMaster to investigate two new projects related to multiple scalar bosons: first, we consider the class of models with a generic number of scalar doublets and singlets, and investigate radiative corrections to the $Z\to b\bar{b}$ process in this context; then, we explore the phenomenology of a model based on the linear seesaw hypothesis, which, in addition to two scalar doublets, includes a complex singlet.

   hep-ph5 citations
7. 07*

   Modification of the mean free path of very high energy photons due to a relativistic deformed kinematics

   J.M. Carmona🇪🇸 · J.L. Cortés🇪🇸 · J.J. Relancio🇪🇸 · M.A. Reyes🇪🇸 · A. Vincueria🇪🇸

   Ultra-high-energy physics is about to enter a new era thanks to the impressive results of experiments such as the "Large High Altitude Air Shower Observatory" (LHAASO), detecting photons of up to $1.4\times 10^{15}$ eV (PeV scale). These new results could be used to test deviations with respect to special relativity. While this has been already explored within the approach of Lorentz Invariance Violation (LIV) theories, in this work we consider, for the first time, modifications due to a relativistic deformed kinematics (which appear in Doubly Special Relativity, or DSR, theories). In particular, we study the mean free path of very high-energy photons due to electron-positron pair creation when interacting with low-energy photons of the cosmic microwave background. Depending on the energy scale of the relativistic deformed kinematics, present (or near future) experiments can be sensitive enough to be able to identify deviations from special relativity.

   hep-phastro-ph.HEgr-qcEur.Phys.J.Plus(2022)·11 citations
8. 08*

   The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing

   Jia-Xin Lin🇨🇳 · Jia-Ting Li🇨🇳 · Sheng-Juan Jiang🇨🇳 · Wei-Hong Liang🇨🇳 · E. Oset🇪🇸

   We perform a study of the $D_s^{+}\to a_0(980)(f_0(980))e^{+}{\nu }_e$ reactions investigating the different sources of isospin violation which make the production of the $a_0(980)$ possible. We find that loops involving kaons in the production mechanism provide a source of isospin violation since they do not cancel due to the different mass of charged and neutral kaons, but we also find that the main source comes from the breaking of isospin in the meson-meson transition $T$ matrices, which contain information on the nature of the low lying scalar mesons. The reaction is thus very sensitive to the nature of the $a_0(980)$ and $f_0(980)$ resonances. Our results are consistent with the present upper bound for $a_0(980)$ production and only a factor three smaller, indicating that future runs with more statistics should find actual numbers for this reaction from where we can learn more about the origin of the scalar resonances and their nature.

   hep-phEPJC(2021)·20 citations
9. 09*

   Quantum Kinetic Theory with Vector and Axial Gauge Fields

   Zhou Chen🇨🇳 · Shu Lin🇨🇳

   In this paper we introduce the axial gauge field to the framework of the quantum kinetic theory with vector gauge field in the massless limit. Treating axial-gauge field on an equal footing with the vector-gauge field, we construct a consistent solution to the kinetic equations up to the first order in gradient expansion or equivalently the semi-classical expansion. The intuitive extension of quantum kinetic theory presented in this work provides a natural generalization, and turns out to give rise to the covariant anomaly and the covariant currents. The corresponding consistent currents can be obtained from the covariant ones by adding the Chern-Simons current. We use the consistent currents to calculate various correlation functions among currents and energy-momentum tensor in equilibrium state.

   hep-phcond-mat.mes-hallnucl-thPRD(2022)·12 citations
10. 10*

    Tackling the kaon structure function at EicC

    Gang Xie🇨🇳 · Chengdong Han🇨🇳 · Rong Wang🇨🇳 · Xurong Chen🇨🇳

    Measuring the kaon structure beyond the proton and pion structures is one of the hot topics in hadron physics, as it is one way to understand the nature of Nambu-Goldstone boson of QCD and to see the interplay between the EHM mechanism and the HB mechanism for hadron mass generation. In this paper, we present a simulation of the leading $\Lambda$ baryon tagged deep inelastic scattering experiment at EicC (Electron-ion collider in China), which is engaged to unveil the internal structure of kaon through Sullivan process. According to our simulation results, the suggested experiment will cover the kinematical domain of $0.05\lesssim x_{\mathrm{K}}\lesssim 0.85$ and $Q^2$ up to 50 GeV${}^2$, with the acceptable statistical uncertainties. In the relatively low-$Q^2$ region ($<10$ GeV${}^2$), the Monte-Carlo simulation shows a good precision of the measurement ($<5$\%) for the kaon structure function $F_2^{\mathrm{K}}$. In the high-$Q^2$ region (up to 50 GeV${}^2$), the statistical uncertainty of $F_2^{\mathrm{K}}$ is also acceptable ($<10$\%) for the data at $x_{\mathrm{K}}<0.8$. To perform such an experiment at an electron-ion collider, a high-performance zero-degree calorimeter is required.

    hep-phCPC(2022)·13 citations
11. 11*

    Magnetic anomaly coefficients for QCD axion couplings

    Anton V. Sokolov🇩🇪 · Andreas Ringwald🇩🇪

    We argue that there are both experimental and theoretical reasons to reconsider the construction of KSVZ-like axion models. From the experimental side, predictions for the axion-photon coupling are not consistent with the collection of astrophysical hints. From the theoretical side, we find that the construction can be conceptually simplified. In particular, it contains an unnecessary assumption on the type of the gauge theory involved which has far-reaching consequences for low energy axion phenomenology. In order to relax this assumption, we allow heavy fermions of the KSVZ-like models to carry magnetic charge. We then show that the axion-photon coupling is generically dominated by the axial anomaly of magnetic currents. Finally, we derive the expression for magnetic anomaly coefficients, which determine the range of numerical values for the axion-photon coupling.

    hep-phhep-exPoS(2022)·10 citations
12. 12*

    Phenomenology of an $E_6$ inspired extension of Standard Model: Higgs sector

    Sanchari Bhattacharyya🇮🇳 · Anindya Datta🇮🇳

    We investigate a variant of Left-Right symmetric model based on $E_6$ inspired $SU(3{)}_C\otimes SU(2{)}_L\otimes U(1{)}_L\otimes SU(2{)}_R\otimes U(1{)}_R$ gauge group $(32121)$. Spontaneous breaking of $32121$ down to the Standard Model (SM) gauge group, requires a bi-doublet under $SU(2{)}_L\otimes SU(2{)}_R$, a right-handed doublet scalar under $SU(2{)}_R$ along with a $SU(2)$ singlet scalar boson. Symmetry breaking leads to several neutral and charged massive gauge bosons apart from the SM $W$ and $Z$. The Large Hadron Collider (LHC) results for the search of heavy gauge bosons can be used to constrain the vacuum expectation values responsible for giving masses to these extra heavy gauge bosons. Physical spectrum of the scalar bosons contains several neutral CP-even and CP-odd states and a couple of charged scalars apart from the SM-like Higgs boson. We have put constraints on the masses of some of these scalars from the existing LHC data. The possible decay rates and production cross-sections of these scalars have been investigated in some details. Production cross-sections for some of the scalars look promising at 14 TeV and 27 TeV run of the LHC with high luminosity option. As the model stems from Grand Unified group $E_6$, we keep all the fermions present in the $27$-dimensional fundamental representation of $E_6$. Mass limit of one such exotic lepton has also been derived from present LHC data. It is noted that some of these neutral exotic lepton or neutral scalar bosons of this model can serve the purpose of a cold dark matter.

    hep-phPRD(2022)·7 citations
13. 13*

    Conservation laws in a novel hybrid approach

    Anna Schäfer🇩🇪 · Iurii Karpenko🇨🇿 · Hannah Elfner🇩🇪

    Heavy-ion collisions covering a wide range of collision energies provide a vast amount of observables characterizing the properties of strongly-interacting matter. In particular collisions towards the high baryon-density regime of the QCD phase-diagram have become of interest to study the postulated first order phase transition and to locate a possible critical end point. In this work, the SMASH-vHLLE-hybrid is presented as a novel hybrid model to theoretically describe such heavy-ion collisions. In addition, the SMASH hadron resonance gas equation of state is introduced. The accuracy of the latter is shown to be of fundamental importance in order to conserve energy, baryon number and electric charge throughout the different stages of the hybrid model. Furthermore, the impact of an inaccurate equation of state on final state observables is discussed. This work constitutes a first validation of the SMASH-vHLLE-hybrid in terms of conservation laws and excitation functions. It is expected to be applied to a broader range of observables in the future.

    hep-phnucl-thPoS(2022)·2 citations
14. 14*

    Lepto-axiogenesis in minimal SUSY KSVZ model

    Junichiro Kawamura🇰🇷 · Stuart Raby🇺🇸

    We study the lepto-axiogenesis scenario in the minimal supersymmetric KSVZ axion model. Only one Peccei-Quinn (PQ) field and vector-like fields are introduced besides the MSSM with the type-I see-saw mechanism. The PQ field is stabilized by the radiative correction induced by the Yukawa couplings with the vector-like fields introduced in the KSVZ model. We develop a way to follow the dynamics of the PQ field, in particular we found a semi-analytical solution which describes the rotational motion under the logarithmic potential with including the thermalization effect via the gluon scattering which preserves the PQ symmetry. Based on the solution, we studied the baryon asymmetry, the effective number of neutrino, and the dark matter density composed of the axion and the neutralino. We found that the baryon asymmetry is successfully explained when the mass of PQ field is $\mathcal{O}(10^6\mathrm{GeV})$ ($\mathcal{O}(10^5\mathrm{GeV})$) with the power of the PQ breaking term being $10$ ($8$).

    hep-phJHEP(2022)·35 citations
15. 15*

    [1]Title: ${\rm Y}$ and ${\eta }_b$ mass shifts in nuclear matter and the ${}^{12}$C nucleus bound states, [2]Title: ${\rm Y}$ and ${\eta }_b$ mass shifts in nuclear matter and the nucleus bound states

    G. N. Zeminiani🇧🇷 · J. J. Cobos-Martínez🇲🇽 · K. Tsushima🇧🇷

    [1]Abstract: This is a contribution for the PANIC 2021 Proceedings based on the articles, Eur. Phys. J. A 57, 259 (2021) and the accompanied article $[$arXiv:2109.08636 $[$hep-ph$]]$ (Hadron 2021 contribution). We have estimated for the first time the mass shifts of the ${\rm Y}$ and ${\eta }_b$ mesons in symmetric nuclear matter by an SU(5) flavor symmetric effective Lagrangian approach, as well as the in-medium mass of $B^{\ast }$ meson by the quark-meson coupling (QMC) model. The attractive potentials for the ${\rm Y}$- and ${\eta }_b$-nuclear matter are obtained, and one can expect for these mesons to form nuclear bound states. We have indeed found such nuclear bound states with ${}^{12}$C nucleus, where the results for the ${}^{12}$C nucleus bound state energies are new, and we report here for the first time. [2]Abstract: We estimate for the first time the mass shifts (scalar potentials) in symmetric nuclear matter of the ${\rm Y}$ and ${\eta }_b$ mesons using an effective Lagrangian approach, as well as the in-medium mass of the $B^{\ast }$ meson by the quark-meson coupling model. The attractive potentials of both ${\rm Y}$ and ${\eta }_b$ are expected to be strong enough for these mesons to be bound to the ${}^4$He nucleus, and we have obtained such nuclear bound state energies.

    hep-phhep-exnucl-exnucl-thPoS(2022)·6 citations
16. 16*

    Collider Signatures of Coannihilating Dark Matter in Light of the B-Physics Anomalies

    Michael J. Baker🇦🇺 · Darius A. Faroughy🇨🇭 · Sokratis Trifinopoulos🇮🇹

    Motivated by UV explanations of the $B$-physics anomalies, we study a dark sector containing a Majorana dark matter candidate and a coloured coannihilation partner, connected to the Standard Model predominantly via a $U_1$ vector leptoquark. A TeV scale $U_1$ leptoquark, which couples mostly to third generation fermions, is the only successful single-mediator description of the $B$-physics anomalies. After calculating the dark matter relic surface, we focus on the most promising experimental avenue: LHC searches for the coloured coannihilation partner. We find that the coloured partner hadronizes and forms meson-like bound states leading to resonant signatures at colliders reminiscent of the quarkonia decay modes in the Standard Model. By recasting existing dilepton and monojet searches we exclude coannihilation partner masses less than 280 GeV and 400 GeV, respectively. Since other existing collider searches do not significantly probe the parameter space, we propose a new dedicated search strategy for pair production of the coloured partner decaying into $bb\tau \tau$ final states and dark matter particles. This search is expected to probe the model up to dark matter masses around 600 GeV with current luminosity.

    hep-phJHEP(2021)·17 citations
17. 17*

    SNEWPY: A Data Pipeline from Supernova Simulations to Neutrino Signals

    Amanda L. Baxter · Segev BenZvi · Joahan Castaneda Jaimes · Alexis Coleiro · Marta Colomer Molla · Damien Dornic · Tomer Goldhagen · Anne M. Graf · Spencer Griswold · Alec Habig · Remington Hill · Shunsaku Horiuchi James P. Kneller Rafael F. Lang and 8 other authors

    Current neutrino detectors will observe hundreds to thousands of neutrinos from a Galactic supernovae, and future detectors will increase this yield by an order of magnitude or more. With such a data set comes the potential for a huge increase in our understanding of the explosions of massive stars, nuclear physics under extreme conditions, and the properties of the neutrino. However, there is currently a large gap between supernova simulations and the corresponding signals in neutrino detectors, which will make any comparison between theory and observation very difficult. SNEWPY is an open-source software package which bridges this gap. The SNEWPY code can interface with supernova simulation data to generate from the model either a time series of neutrino spectral fluences at Earth, or the total time-integrated spectral fluence. Data from several hundred simulations of core-collapse, thermonuclear, and pair-instability supernovae is included in the package. This output may then be used by an event generator such as sntools or an event rate calculator such as SNOwGLoBES. Additional routines in the SNEWPY package automate the processing of the generated data through the SNOwGLoBES software and collate its output into the observable channels of each detector. In this paper we describe the contents of the package, the physics behind SNEWPY, the organization of the code, and provide examples of how to make use of its capabilities.

    ↳ astro-ph.IMastro-ph.HEastro-ph.SRhep-ph+1ApJ(2022)·43 citations
18. 18*

    Quantum fluctuations of baryon number density

    Rajeev Singh🇵🇱

    Quantum fluctuation expression of the baryon number for a subsystem consisting of hot relativistic spin-$\frac{1}{2}$ particles are derived. These fluctuations seems to diverge in the limit where system size goes to zero. For a broad range of thermodynamic parameters numerical solutions are obtained which might be helpful to interpret the heavy-ion experimental data.

    ↳ nucl-thcond-mat.stat-mechhep-phhep-thJ.Phys.Conf.Ser.(2021)·3 citations
19. 19*

    Forward doubly-virtual Compton scattering off an unpolarised deuteron in pionless effective field theory

    Vadim Lensky🇩🇪 · Astrid Hiller Blin🇺🇸 · Vladimir Pascalutsa🇩🇪

    We calculate the forward unpolarised doubly-virtual Compton scattering (VVCS) off the deuteron in the framework of pionless effective field theory, up to next-to-next-to-next-to-leading order (N3LO) for the longitudinal and next-to-leading order (NLO) for the transverse amplitude. The charge elastic form factor of the deuteron, obtained from the residue of the longitudinal VVCS amplitude, is used to extract the value of the single unknown two-nucleon one-photon contact coupling that enters the longitudinal amplitude at N3LO. We also study the lowest spin-independent generalised polarisabilities of the deuteron. The calculated unpolarised VVCS amplitude provides a high-precision model-independent input for a future calculation of the two-photon-exchange correction to the Lamb shift of muonic deuterium.

    ↳ nucl-thhep-phnucl-exPRC(2021)·6 citations
20. 20*

    Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory

    Vasileios Basiouris🇬🇷 · George K. Leontaris🇬🇷

    The rôle of string loop corrections on the existence of de Sitter vacua and the moduli stabilization problem is examined in type IIB effective theories. The fundamental building blocks are a minimum of three intersecting D7 brane stacks, three Kähler moduli, and a novel Einstein-Hilbert term associated with higher derivative terms of the 10-dimensional effective action. It was shown in previous works that loop corrections appear which induce novel logarithmic volume-dependent terms in the effective potential. When D-term contributions are considered, all Kähler moduli are stabilized and de Sitter vacua are achieved. In the present work, a comprehensive study of multiple non-perturbative terms in the superpotential is undertaken. The combined effects of the logarithmic loop corrections and two non-perturbative superpotential Kähler moduli dependent terms have been investigated. It is shown that a variety of fluxes exist for large as well as moderate volume compactifications which define a de Sitter space and stabilize the moduli fields. For large volumes, a generic simple form of the potential is achieved. The so obtained effective potential appears to be promising for cosmological applications.

    ↳ hep-thgr-qchep-phFortsch.Phys.(2022)·18 citations
21. 21*

    Tetraquark systems $\bar{b}b\bar{d}u$ in the static limit and lattice QCD

    Mitja Sadl🇸🇮 · Sasa Prelovsek🇸🇮

    Two hadrons with exotic quark content $Z_b^{+}\simeq \bar{b}b\bar{d}u$ were discovered by Belle. We present a lattice study of the $\bar{b}b\bar{d}u$ systems with various quantum numbers using static bottom quarks. Only one set of quantum numbers that couples to $Z_b$ and ${\rm Y}\pi$ was explored on the lattice before; these studies found an attractive potential between $B$ and ${\bar{B}}^{\ast }$ resulting in a bound state below the threshold. The present study considers the other three sets of quantum numbers. Eigenenergies of the $\bar{b}b\bar{d}u$ system are extracted as a function of separation between $b$ and $\bar{b}$. The resulting eigenenergies do not show any sizable deviation from noninteracting energies of the systems $\bar{b}b+\bar{d}u$ and $\bar{b}u+\bar{d}b$, so no significant attraction or repulsion is found. A slight exception is a small attraction between $B$ and ${\bar{B}}^{\ast }$ at small distance for the quantum number that couples to $Z_b$ and ${\eta }_b\rho$.

    ↳ hep-lathep-phPRD(2021)·32 citations
22. 22*

    Residues of bosonic string scattering amplitudes and the Lauricella functions

    Sheng-Hong Lai🇹🇼 · Jen-Chi Lee🇹🇼 · Yi Yang🇹🇼

    We calculate explicitly residues of all n-point Koba-Nielsen (KN) amplitudes by using on-shell recursion relation of string scattering amplitudes (SSA). In addition, we show that the residues of all SSA including the KN amplitudes can be expressed in terms of the Lauricella functions. This result demonstrates the exact SL(K+3,C) symmetry of the tree-level open bosonic string theory. Moreover, we derive an iteration relation among the residues of a given SSA. This iteration relation is related to the SL(K+3,C) symmetry and can presumably be used to soften the well-known hard SSA.

    ↳ hep-thhep-phmath-phmath.MPNPB(2023)·6 citations
23. 23*

    Mathematical expressions for quantum fluctuations of energy for different energy-momentum tensors

    Rajeev Singh🇵🇱

    Expressions for the quantum fluctuations of energy density have been derived for the subsystems consisting of hot relativistic gas of particles with spin-$\frac{1}{2}$ and mass $m$. Our expressions for the fluctuation depend on the form of energy-momentum tensor which in turn depend on the choice of pseudo-gauge. These results suggest that quantum fluctuations of energy should be considered seriously in the case of the very small thermodynamic systems.

    ↳ quant-phcond-mat.stat-mechhep-phhep-thPoS(2021)·2 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.