PaperPanorama

HEP Phenomenology·hep-ph

Fri·Jun 17, 2022

26 papers16 primary·10 cross-listed·reconstructed*

  1. 01*

    Low-energy effective Lagrangian of the two-Higgs-doublet model

    Mykyta Dmytriiev🇺🇦 · Volodymyr Skalozub🇺🇦

    We consider a decoupling scenario within the two-Higgs-doublet model (2HDM) with small CP-violation. Mass eigenstates of this model include one neutral scalar field with the mass of the Standard model (SM) Higgs boson and four other scalars, which decouple at low energies. We derive the effective operators of interactions between the SM fermions and the lightest scalar particle of the model. The coefficients at these operators are expressed in terms of the 2HDM parameters. The scattering processes affected by this effective Lagrangian are identified.

    hep-phJournal of Physics and Electronics(2022)·2 citations
  2. 02*

    Evaluating the blast-wave model as a description of 5 TeV p-Pb spectra

    Thomas A. Trainor🇺🇸

    The blast-wave (BW) spectrum model is interpreted to reveal relativistic motion (collective flow) of the hadron emission system relative to the center-of-momentum (CM) frame in high-energy A-B collisions. In essence, any spectrum deviation in the CM frame from a reference distribution (e.g. Boltzmann distribution on transverse mass ) is interpreted to reveal a flowing particle source. The ALICE collaboration has applied the BW model to identified hadron (PID) spectra for four hadron species from 5 TeV -Pb collisions. From model fits BW parameters (freeze-out temperature) and (transverse speed) are inferred that suggest strong radial expansion in more-central -Pb collisions. Such results from the small -Pb collision system are counterintuitive given that strong radial expansion should be driven by large density gradients. The present study is intended to address that problem. Several methods are employed to evaluate the quality of the BW model data description, including logarithmic derivatives and the Z-score statistic. The stability of the BW model definition across several applications to data is investigated. The BW model data description is compare to that of the two-component (soft+hard) model (TCM) that has been previously applied to the same -Pb PID spectra. The general conclusion is that the BW model is falsified by -Pb PID spectrum data according to standard statistical measures and that the fitted parameter values do not convey the intended meaning. Statistically acceptable data descriptions provided by the TCM indicate that other collision mechanisms (projectile-nucleon dissociation, dijet production), that are consistent with conventional QCD, are more likely responsible for observed spectrum characteristics.

    hep-ph4 citations
  3. 03*

    Unveiling the proton structure via transverse-momentum-dependent gluon distributions

    Alessandro Bacchetta🇮🇹 · Francesco Giovanni Celiberto🇮🇹 · Marco Radici🇮🇹

    We present exploratory studies of the proton content via unpolarized and polarized transverse-momentum-dependent gluon distributions in the proton at leading twist. We make use of an enhanced spectator-model approach to encode in our densities both small- and moderate- effects. These studies are relevant to the investigation of the inner structure of hadrons via tomographic analyses at new-generation colliding machines.

    hep-phRev.Mex.Fis.Suppl.(2022)·26 citations
  4. 04*

    Resonant Axion Radiation Conversion in Solar Spicules

    Aiichi Iwazaki🇯🇵

    It has recently been observed that solar spicules covering almost of all solar surface have strong magnetic field G. They are supposed to be plasma jets emitted from chromosphere and they arrive up to km. Their electron number density is such that . Corresponding plasma frequency ( electron mass ) is nearly equal to axion mass eVeV. Thus, resonant radiation conversion of axion with the mass can arise in the spicules. We show that radiations converted from axion dark matter possess flux density . The radiations show line spectrum with frequency GHz. Our estimation has fewer ambiguities in physical parameters than similar estimation in neutron stars because physical parameters like electron number density have been more unambiguously observed in the sun. But, much strong solar thermal radiations would preclude sensitive observations of such radiations from the axions.

    hep-phastro-ph.COMod.Phys.Lett.A(2023)·0 citations
  5. 05*

    Inverse Primakoff Scattering for Axionlike Particle Coupling

    C.-P. Wu🇨🇦 · C.-P. Liu🇹🇼 · Greeshma C.🇹🇼 · L. Singh🇮🇳 · J.-W. Chen🇹🇼 · H.-C. Chi🇹🇼 · M.K. Pandey🇹🇼 · H.T. Wong🇹🇼

    Axionlike particles (ALPs) can be produced in the Sun, and are considered viable candidates for the cosmological dark matter (DM). It can decay into two photons or interact with matter. We identify new inelastic channels of inverse Primakoff processes due to atomic excitation and ionization. Their cross sections are derived by incorporating full electromagnetic fields of atomic charge and current densities, and computed by well-benchmarked atomic many-body methods. Complementing data from the underground XENONnT and surface TEXONO experiments are analyzed. Event rates and sensitivity reaches are evaluated with respect to solar- and DM-ALPs. New parameter space in ALP couplings with the photons versus ALP masses in (1~eV10~keV) not previously accessible to laboratory experiments are probed and excluded with solar-ALPs. However, at regions where DM-ALPs have already decayed, there would be no ALP-flux and hence no interactions at the detectors in direct search experiments. No physics constraints can be derived. Future projects would be able to evade the stability bound and open new observable windows in (100~eV1~MeV) for DM-ALPs.

    hep-phastro-ph.COhep-exnucl-thPRD(2023)·9 citations
  6. 06*

    IceCube at the Frontier of Macroscopic Dark Matter Direct Detection

    Yang Bai🇺🇸 · Joshua Berger🇺🇸 · Mrunal Korwar🇺🇸

    For a class of macroscopic dark matter models, inelastic scattering of dark matter off a nucleus can generate electromagnetic signatures with GeV-scale energy. The IceCube detector, with its kilometer-scale size, is ideal for directly detecting such inelastic scattering. Based on the slow particle trigger for the DeepCore detector, we perform a detailed signal and background simulation to estimate the discovery potential. For order 1 GeV deposited energy in each interaction, we find that IceCube can probe the dark matter masses up to one gram.

    hep-phhep-exJHEP(2022)·10 citations
  7. 07*

    Decays , , and in a 3-3-1 model with inverse seesaw neutrinos

    T.T. Hong🇻🇳 · N.H.T. Nha🇻🇳 · T. Phong Nguyen🇻🇳 · L. T. T. Phuong🇻🇳 · L.T. Hue🇻🇳

    We will show that the 3-3-1 model with new heavy right handed neutrinos as singlets can explain simultaneously the lepton flavor violating decays of the SM-like Higgs boson, charged lepton flavor violating decays , and the electron anomalies under recent experimental data. The discrepancy of predicted by the model under consideration and that of the standard model can reach . The decay rates of the standard model-like Higgs boson can reach the values of .

    hep-phPTEP(2022)·14 citations
  8. 08*

    Systematic analysis of single heavy baryons , and

    Guo-Liang Yu🇨🇳 · Zhen-Yu Li🇨🇳 · Zhi-Gang Wang🇨🇳 · Jie Lu🇨🇳 · Meng Yan🇨🇳

    Motivated by great progresses in experiments in searching for the heavy baryons, we systematically analyze the mass spectra and root mean square radius of single heavy baryons , and . The calculations of the mass spectra are carried out in the frame work of Godfrey-Isgur (GI) relativized quark model, where the baryon is regarded as a three-body system of quarks. Our results show that the mass of single heavy baryon with -mode is lower than those of the -mode and - mixing mode, which indicates that the lowest state is dominated by the -mode. Basing on this research, we systematically calculate the mass spectra and the root mean square radius of the baryons with excited mode. With these predicated mass spectra, the Regge trajectories in the (,) plane are constructed, and the slopes, intercepts of the Regge trajectories are obtained by linear fitting. It is found that all available experimental data are well reproduced by model predictions and fit nicely to the constructed Regge trajectories.

    hep-phNPB(2023)·61 citations
  9. 09*

    Time-reversal asymmetries in semileptonic decays

    Chao-Qiang Geng🇨🇳 · Xiang-Nan Jin🇨🇳 · Chia-Wei Liu🇨🇳

    We study the decays of with , where and are the daughter baryons and the rest of the particles in cascade decays, respectively. In particular, we examine the full angular distributions with polarized and lepton mass effects, in which the time-reversal asymmetries are identified. We concentrate on the decay modes of to demonstrate their experimental feasibility. We show that the observables associated with the time-reversal asymmetries are useful to search for new physics as they vanish in the standard model. Explicitly, we find that they are sensitive to the right-handed current from new physics, and possible to be observed at LHCb.

    hep-phhep-exPRD(2022)·10 citations
  10. 10*

    Visualization of internal forces inside the proton in a classical relativistic model

    Mira Varma🇺🇸 · Peter Schweitzer🇺🇸

    A classical model of a stable particle of finite size is studied. The model parameters can be chosen such that the described particle has the mass and radius of a proton. Using the energy-momentum tensor (EMT), we show how the presence of long-range forces alters some notions taken for granted in short-range systems. We focus our attention on the D-term form factor. The important conclusion is that a more careful definition of the D-term may be required when long-range forces are present.

    hep-phRev.Mex.Fis.(2022)·3 citations
  11. 11*

    Nonlinear Compton scattering in time-dependent electric fields: LCFA and beyond

    E.G. Gelfer🇨🇿 · A.M. Fedotov🇷🇺 · A.A. Mironov🇫🇷 · S. Weber🇨🇿

    Locally constant crossed field approximation (LCFA) is a powerful tool for theoretical and numerical studies of various strong field quantum electrodynamical effects. We explore this approximation in detail for photon emission by a spinless particle in a strong time-dependent electric field. This kind of electromagnetic fields is of particular interest, because, in contrast to the comprehensively studied case of a plane wave, they are not crossed. We develop an approach for calculating photon emission probability in a generic time-dependent electric field, establish the range of applicability of LCFA, and calculate the corrections to it.

    hep-phPRD(2022)·17 citations
  12. 12*

    Weak decays induced by FCNC in QCD

    T.M.Aliev🇹🇷 · S.Bilmis🇹🇷 · M.Savci🇹🇷

    With the discovery of the doubly heavy baryon, comprehensive studies of the properties of the doubly heavy baryons are started. In the present work, we examine the and decays induced by flavor-changing neutral currents (FCNC) in the framework of the light-cone sum rules. After obtaining the sum rules for the form factors induced by the tensor current, the branching ratios of the relevant transitions are estimated. We found that the branching ratio for the transition is around five orders smaller than the transition. Our findings are also compared with other approaches.

    hep-phhep-exhep-latEPJC(2022)·6 citations
  13. 13*

    Global SMEFT Fits at Future Colliders

    Jorge de Blas🇪🇸 · Yong Du🇨🇳 · Christophe Grojean🇩🇪 · Jiayin Gu🇨🇳 · Victor Miralles🇮🇹 · Michael E. Peskin🇺🇸 · Junping Tian🇯🇵 · Marcel Vos🇪🇸 · Eleni Vryonidou🇬🇧

    Based on the framework of Standard Model Effective Field Theory, we performed a few global fits, each containing a subset of dimension-6 operators, for the measurements that are expected at future colliders. The fit for the Higgs and electroweak sector improves what has been done for the European Strategy Update in 2020 on both EFT treatments and experimental inputs. A new comprehensive fit is performed focusing on 4-fermion interactions at future colliders. Top-quark sector is studied in a dedicated fit which restricts the operators and measurements to be directly related to top-quark. A small subset of CP-violating operators involving bosonic fields alone are also investigated. Various running scenarios for future e+e- and Muon Colliders that are suggested in the Snowmass 2021 discussion are considered in the global fits. The outcomes from each fit are expressed in terms of either direct constraint on Wilson Coefficients or precision on Higgs and electroweak effective couplings.

    hep-phhep-ex136 citations
  14. 14*

    Tri-Resonant Leptogenesis in a Seesaw Extension of the Standard Model

    P. Candia da Silva🇬🇧 · D. Karamitros🇬🇧 · T. McKelvey🇬🇧 · A. Pilaftsis🇬🇧

    We study a class of leptogenesis models where the light neutrinos acquire their observed small masses by a symmetry-motivated construction. This class of models may naturally include three nearly degenerate heavy Majorana neutrinos that can strongly mix with one another and have mass differences comparable to their decay widths. We find that such a tri-resonant heavy neutrino system can lead to leptonic CP asymmetries which are further enhanced than those obtained in the usual bi-resonant approximation. Moreover, we solve the Boltzmann equations by paying special attention to the temperature dependence of the relativistic degrees of freedom of the plasma. The latter results in significant corrections to the evolution equations for the heavy neutrinos and the lepton asymmetry that have been previously ignored in the literature. We show the importance of these corrections to accurately describe the dynamical evolution of the baryon-to-photon ratio for heavy neutrino masses at and below GeV, and demonstrate that successful leptogenesis at lower masses can be significantly affected by the variation of the relativistic dofs. The parameter space for the leptogenesis model is discussed, and it could be probed in future experimental facilities searching for charged lepton flavour violation and heavy neutrinos in future -boson factories.

    hep-phJHEP(2022)·21 citations
  15. 15*

    Masses of Single, Double and Triple Heavy baryons in the Hyper-Central Quark Model by Using GF-AEIM

    M. Abu-shady🇪🇬 · H. M. Fath-Allah🇪🇬

    In this paper, we calculate single, double and triple heavy baryons masses using hyper-central approach in the two cases. The first case, considering potential is a combination of Coulombic, linear confining and harmonic oscillator terms. The second case, we add the hyperfine interaction. The hyper-radial Schrodinger equation in the two cases is solved to obtain energy eigenvalues and the baryonic wave function by using the generalized fractional analytical iteration method (GF-AEIM). The present results are a good agreement with experimental data and are improved with other recent works.

    hep-phnucl-thAdv.High Energy Phys.(2022)·6 citations
  16. 16*

    Resonant top pair searches at the LHC: a window to electroweak phase transition

    Dorival Gonçalves🇺🇸 · Ajay Kaladharan🇺🇸 · Yongcheng Wu🇺🇸

    The dynamics of electroweak phase transition could have profound consequences for particle physics and cosmology. We study the prospects for the HL-LHC to probe the strong first-order electroweak phase transition (SFOEWPT) regime in the type-I 2HDM. We focus on the Higgstrahlung channel with a resonant top-quark pair final state . We find that the top-quark pair final state renders the largest sensitivity to the SFOEWPT regime, in comparison to the other Higgstrahlung searches already performed by ATLAS and CMS, that focus on the and final states. We also derive the complementarity of the Higgstrahlung searches with other relevant classes of searches at the HL-LHC and compare them with the gravitational wave sensitivity at LISA.

    hep-phPRD(2023)·21 citations
  17. 17*

    Spinor-Vector Duality and the Swampland

    Alon E. Faraggi🇬🇧

    The Swampland Program aims to address the question, "when does an effective field theory model of quantum gravity have an ultraviolet complete embedding in string theory?", and can be regarded as a bottom-up approach to investigations of quantum gravity. An alternative top-down approach aim to explore the imprints and the constraints imposed by the string theory dualities and symmetries on the effective field theory representations of quantum gravity. The most celebrated example of this approach is mirror symmetry. Mirror symmetry was first observed in worldsheet contructions of string compactifications. It was completely unexpected from the effective field theory point of view, and its implications in that context were astounding. In terms of the moduli parameters of toroidally compactified Narain spaces, mirror symmetry can be regarded as arising from mappings of the moduli of the internal compactified space. Spinor-vector duality, which was discovered in worldsheet constructions of string vacua, is an extension of mirror symmetry that arises from mappings of the Wilson line moduli, and provide a probe to constrain and explore the moduli spaces of string compactifications. Mirror symmetry and spinor-vector duality are mere two examples of a much wider symmetry structure, whose implications are yet to be unravelled. A mapping between supersymmetric and non-supersymmetric vacua is briefly discussed. -duality is another important property of string theory, and can be thought of as phase-space duality in compact space. I propose that manifest phase-space duality, and the related equivalence postulate of quantum mechanics, provide the background independent overarching principles underlying quantum gravity.

    hep-thhep-phUniverse(2022)·2 citations
  18. 18*

    Probing the progenitor of high- short-duration GRB 201221D and its possible bulk acceleration in prompt emission

    Hao-Yu Yuan🇺🇸 · Hou-Jun Lü · Ye Li · Bin-Bin Zhang🇨🇳 · Hui Sun🇨🇳 · Jared Rice🇺🇸 · Jun Yang · En-Wei Liang🇨🇳

    The growing observed evidence shows that the long- and short-duration gamma-ray bursts (GRBs) originate from massive star core-collapse and the merger of compact stars, respectively. GRB 201221D is a short-duration GRB lasting s without extended emission (EE) at high redshift . By analyzing data observed with the Swift/BAT and Fermi/GBM, we find that a cutoff power-law model can adequately fit the spectrum with a soft keV, and isotropic energy . In order to reveal the possible physical origin of GRB 201221D, we adopted multi-wavelength criteria (e.g., Amati relation, -parameter, amplitude parameter, local event rate density, luminosity function, and properties of the host galaxy), and find that most of the observations of GRB 201221D favor a compact star merger origin. Moreover, we find that is larger than in the prompt emission phase which suggests that the emission region is possibly undergoing acceleration during the prompt emission phase with a Poynting-flux-dominated jet.

    astro-ph.HEhep-phRes.Astron.Astrophys.(2022)·4 citations
  19. 19*

    SME Gravity in the Early Universe

    Nils A. Nilsson🇰🇷

    In this talk, we give a short overview of recent work on cosmological solutions within the SME gravitational sector under the assumption of explicit spacetime-symmetry breaking. We show that for the special case of timelike diffeomorphism breaking, the resulting Friedmann equations can be written as standard FLRW cosmology with added dynamical dark energy, and we discuss primordial gravitational waves in the context of this model.

    gr-qchep-ph1 citation
  20. 20*

    Primordial Black Holes and Gravitational Waves in Multi-Axion-Chern-Simons Inflation

    Nick E. Mavromatos🇬🇧 · Vassilis C. Spanos🇬🇷 · Ioanna D. Stamou🇬🇷

    We study aspects of inflation and the possibility of enhanced production of primordial black holes (PBHs) and gravitational waves (GWs) in a string-inspired model of two axion fields coupled to Chern-Simons gravity, which results in a running-vacuum-model inflation. Fluctuations of the scale invariant spectrum, consistent with the cosmological data, are provided in this model by world-sheet (non-perturbative) instanton terms of the axion field arising from string compactification. As a result of such modulations, there is an enhanced production of PBHs and GWs in such cosmologies, which may lead to observable in principle patterns in the profile of GWs during the radiation era. Moreover, we demonstrate that the PBHs may provide a significant amount of Dark Matter in this Universe. For comparison, we also discuss a two-stage inflation cosmological model of conventional string-inspired axion monodromy, involving again two axion fields. The resulting modifications imprinted on the GWs spectra between these two classes of models are distinct, and can, in principle, be distinguished by future interferometers. We consider models with more or less instantaneous reheating. We also make some remarks on the effects of a prolonged reheating period in leading to further enhancement of the power spectrum and thus fractions of PBHs that play the role of Dark matter.

    hep-thastro-ph.COgr-qchep-phPRD(2022)·32 citations
  21. 21*

    Higgs Highlights at ATLAS

    Liza Mijovic (ATLAS Collaboration)🇬🇧

    As the Higgs boson turns 10 this Summer, and the Large Hadron Collider experiments eagerly await the next round of data-taking, the ATLAS collaboration has recently reached important new insights into the Higgs mechanism. This report is a snapshot of Higgs highlights for the MoriondQCD conference, obtained with 139 ifb of Run2 proton-proton collision data taken at centre-of-mass energy of 13 TeV.

    hep-exhep-ph1 citation
  22. 22*

    Lorentz Symmetry Violation of Cosmic Photons

    Ping He🇨🇳 · Bo-Qiang Ma🇨🇳

    As a basic symmetry of space-time, Lorentz symmetry has played important roles in various fields of physics, and it is a glamorous question whether Lorentz symmetry breaks. Since Einstein proposed special relativity, Lorentz symmetry has withstood very strict tests, but there are still motivations for Lorentz symmetry violation (LV) research from both theoretical consideration and experimental feasibility, that attract physicists to work on LV theories, phenomena and experimental tests with enthusiasm. There are many theoretical models including LV effects, and different theoretical models predict different LV phenomena, from which we can verify or constrain LV effects. Here, we introduce three types of LV theories: quantum gravity theory, space-time structure theory and effective field theory with extra-terms. Limited by the energy of particles, the experimental tests of LV are very difficult; however, due to the high energy and long propagation distance, high-energy particles from astronomical sources can be used for LV phenomenological researches. Especially with cosmic photons, various astronomical observations provide rich data from which one can obtain various constraints for LV researches. Here, we review four common astronomical phenomena which are ideal for LV studies, together with current constraints on LV effects of photons.

    astro-ph.HEgr-qchep-phUniverse(2022)·39 citations
  23. 23*

    One likelihood to bind them all: Lyman- constraints on non-standard dark matter

    Deanna C. Hooper🇫🇮 · Nils Schöneberg🇪🇸 · Riccardo Murgia🇮🇹 · Maria Archidiacono🇮🇹 · Julien Lesgourgues🇩🇪 · Matteo Viel🇮🇹

    Recent cosmological tensions have rekindled the search for models beyond CDM that cause a suppression of the matter power spectrum. Due to the small scales accessible to Lyman- data they are an excellent additional tool to probe such models. In this work we extend a recently-developed approach for using Lyman- data to constrain the power spectrum suppression caused by almost any mixture of cold and non-standard dark matter. We highlight the steps involved in the development of a corresponding likelihood that will be publicly released upon publication of this work. We study three examples of models suppressing the power spectrum, namely feebly interacting dark matter, dark matter interacting with baryons, and mixed cold+warm dark matter. The latter two can be well constrained from Lyman- data, and we derive novel conclusions on the cosmologically allowed parameter spaces, including finding a mild preference for non-zero interactions between dark matter and baryons. The consistency of the constraints obtained on these models highlight the robustness and flexibility of the likelihood developed here.

    astro-ph.COhep-phJCAP(2022)·60 citations
  24. 24*

    Inflation, space-borne interferometers and the expansion history of the Universe

    Massimo Giovannini🇨🇭

    According to the common wisdom, between a fraction of the mHz and few Hz the spectral energy density of the inflationary gravitons can be safely disregarded even assuming the most optimistic sensitivities of the space-borne detectors. In this analysis we show that this conclusion is evaded if, prior to nucleosynthesis, the post-inflationary evolution includes a sequence of stages expanding either faster or slower than radiation. As a consequence, contrary to the conventional lore, it is shown that below a fraction of the Hz the spectral energy density of the relic gravitons may exceed (even by eight orders of magnitude) the signal obtained under the hypothesis of radiation dominance throughout the whole expansion history prior to the formation of light nuclei. Since the slopes and the amplitudes of the spectra specifically reflect both the inflationary dynamics and the subsequent decelerated evolution, it is possible to disentangle the contribution of the relic gravitons from other (late-time) bursts of gravitational radiation associated, for instance, with a putative strongly first-order phase transition at the TeV scale. Hence, any limit on the spectral energy density of the relic gravitons in the mHz range simultaneously constrains the post-inflationary expansion history and the inflationary initial data.

    gr-qcastro-ph.COhep-phhep-thEPJC(2022)·15 citations
  25. 25*

    The BOSS bispectrum analysis at one loop from the Effective Field Theory of Large-Scale Structure

    Guido D'Amico🇮🇹 · Yaniv Donath🇬🇧 · Matthew Lewandowski🇺🇸 · Leonardo Senatore🇨🇭 · Pierre Zhang🇨🇳

    We analyze the BOSS power spectrum monopole and quadrupole, and the bispectrum monopole and quadrupole data, using the predictions from the Effective Field Theory of Large-Scale Structure (EFTofLSS). Specifically, we use the one loop prediction for the power spectrum and the bispectrum monopole, and the tree level for the bispectrum quadrupole. After validating our pipeline against numerical simulations as well as checking for several internal consistencies, we apply it to the observational data. We find that analyzing the bispectrum monopole to higher wavenumbers thanks to the one-loop prediction, as well as the addition of the tree-level quadrupole, significantly reduces the error bars with respect to our original analysis of the power spectrum at one loop and bispectrum monopole at tree level. After fixing the spectral tilt to Planck preferred value and using a Big Bang Nucleosynthesis prior, we measure , , and to about , , and , at CL, respectively. This represents an error bar reduction with respect to the power spectrum-only analysis of about , , and respectively. Remarkably, the results are compatible with the ones obtained with a power-spectrum-only analysis, showing the power of the EFTofLSS in simultaneously predicting several observables. We find no tension with Planck.

    astro-ph.COhep-phhep-thJCAP(2024)·165 citations
  26. 26*

    Symbology for elliptic multiple polylogarithms and the symbol prime

    Matthias Wilhelm🇩🇰 · Chi Zhang🇩🇰

    Elliptic multiple polylogarithms occur in Feynman integrals and in particular in scattering amplitudes. They can be characterized by their symbol, a tensor product in the so-called symbol letters. In contrast to the non-elliptic case, the elliptic letters themselves satisfy highly non-trivial identities, which we discuss in this paper. Moreover, we introduce the symbol prime, an analog of the symbol for elliptic symbol letters, which makes these identities manifest. We demonstrate its use in two concrete examples at two-loop order: the unequal-mass sunrise integral in two dimensions and the ten-point double-box integral in four dimensions. Finally, we also report the result of the polylogarithmic nine-point double-box integral, which arises as the soft limit of the ten-point integral.

    hep-thhep-phJHEP(2023)·39 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.