Thu·Jan 13, 2022Thursday·January 13, 2022

1. 01*

   Application of the weak-binding relation with range correction

   Tomona Kinugawa🇯🇵 · Tetsuo Hyodo🇯🇵

   The weak-binding relation is a useful tool to study the internal structure of hadrons from the observable quantities. We introduce the range correction in the weak-binding relation for the system having a sizable magnitude of the effective range, and show that the applicability of the weak-binding relation can be enlarged by the range correction. Thanks to the low-energy universality, the weak-binding relation can be used to study the structure of shallow bound states in any systems with different length scales. We apply the weak-binding relation to actual systems, including hadrons, hypernuclei, and atoms and show the importance of the range correction.

   hep-phnucl-thRev.Mex.Fis.Suppl.(2022)·2 citations
2. 02*

   Quarkonium in a bulk viscous QGP medium

   Lata Thakur🇰🇷 · Yuji Hirono🇰🇷 · Najmul Haque🇮🇳

   The non-equilibrium properties of quark-gluon plasma (QGP) have been a topic of intensive research. In this contribution, we explore the nature of heavy quarkonia immersed in a QGP with bulk viscosity. We incorporate the bulk viscous effect through the deformation of the distribution functions of thermal quarks and gluons, with which the color dielectric permittivity can be computed. We use the color dielectric permittivity to compute the heavy quark potential inside a bulk viscous plasma and solve the Schrödinger equation using the potential to obtain the physical properties such as binding energies and decay widths. We discuss the effect of the bulk viscous correction on the quarkonium properties and the melting temperatures.

   hep-phnucl-thRev.Mex.Fis.Suppl.(2022)·0 citations
3. 03*

   The chiral Lagrangian with three flavors and large-Nc sum rules

   Yonggoo Heo🇹🇭 · C. Kobdaj🇹🇭 · Matthias F.M. Lutz🇩🇪

   We reconsider the chiral Lagrangian with three-flavor baryon fields. A systematic analysis of all LEC that contribute to the axial-vector and pseudoscalar currents in the baryon octet and decuplet fields at next-to-leading order is performed. While there are 4 LEC relevant at leading order, the number of relevant LEC at subleading chiral order is 23. For those a leading order large-$N_c$ analysis predicts 3 and 18 sum rules respectively. At the next accuracy level the number of sum rules is reduced to 2 and 8. Our results are illustrated by a tree-level analysis of available axial-vector coupling constants and strong decay widths of the baryon decuplet states.

   hep-phEPJA(2023)·15 citations
4. 04*

   One-Loop Renormalization of the Higgs Sector of the Electroweak Chiral Lagrangian extended by N Scalar Singlets

   Andreas Lindner🇩🇪 · Khoirul Faiq Muzakka🇩🇪

   The framework of the electroweak chiral Lagrangian with a light Higgs is extended by an additional scalar and then generalized to N scalars in the Higgs sector. Divergences from scalar fluctuations are renormalized up to one loop using the background field method. The results are crosschecked against the case of one scalar. A subset of the divergences is demonstrated and crosschecked diagrammatically. Together with the complete one-loop renormalization of the electroweak chiral theory with one light Higgs conducted previously, this constitutes a renormalization framework of any pure scalar extension to the electroweak chiral theory.

   hep-ph1 citation
5. 05*

   Monte-Carlo tool SANCphot for polarized $\gamma \gamma$ collision simulation

   Serge Bondarenko🇷🇺 · Lidia Kalinovskaya🇷🇺 · Andrey Sapronov🇷🇺

   Our study of theoretical uncertainties for the four bosons processes at one-loop level including the case of the transverse polarization is presented. The calculations are based on helicity amplitudes approach for 4-boson SM interactions through a fermion and boson loops. The computation takes into account nonzero mass of loop particles. The obtained predictions are equally suitable for a wide range of energies and for arbitrary, including extreme, regions of the phase volume. Uncertainty estimates are received using the new Monte-Carlo tool SANCphot for $\gamma \gamma$ collision simulation with final states $\gamma \gamma$, $\gamma Z$, $ZZ$ adapted for polarized $\gamma$ beams.

   hep-phComput.Phys.Commun.(2024)·5 citations
6. 06*

   From Causal Representation of Multiloop Scattering Amplitudes to Quantum Computing

   Selomit Ramírez-Uribe🇪🇸

   An overview of a quantum algorithm application for the identification of causal singular configurations of multiloop Feynman diagrams is presented. The quantum algorithm is implemented in two different quantum simulators, the output obtained is directly translated to causal thresholds needed for the causal representation in the loop-tree duality.

   hep-phhep-thquant-phActa Phys.Polon.Supp.(2022)·3 citations
7. 07*

   How much is the compositeness of a bound state constrained by $a$ and $r_0$? The role of the interaction range

   Jing Song🇨🇳 · L.R.Dai🇨🇳 · E.Oset🇪🇸

   We present an approach that allows one to obtain information on the compositeness of molecular states from combined information of the scattering length of the hadronic components, the effective range, and the binding energy. We consider explicitly the range of the interaction in the formalism and show it to be extremely important to improve on the formula of Weinberg obtained in the limit of very small binding and zero range interaction. The method allows obtaining good information also in cases where the binding is not small. We explicitly apply it to the case of the deuteron and the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$ states and determine simultaneously the value of the compositeness within a certain range, as well as get qualitative information on the range of the interaction.

   hep-phEPJA(2022)·54 citations
8. 08*

   Dirac gaugino from grand gauge-Higgs unification

   Hiroaki Nakano🇯🇵 · Masamichi Sato🇯🇵 · Osamu Seto🇯🇵 · Toshifumi Yamashita🇯🇵

   We show that models of the Dirac gaugino can naturally be embedded into a kind of the grand unified theory (GUT), the grand gauge-Higgs unification (gGHU) model, with the gauge group SU(5)\times SU(5)/Z_2 on an S^1/Z_2 orbifold. The supersymmetric gGHU is known to posess a light chiral adjoint supermultiplet after the GUT breaking, thank to the exchange symmetry of two SU(5) groups. Identifying the `predicted' adjoint fermion with the Dirac partner of the gaugino, we argue that the supersoft term, responsible for the Dirac gaugino mass, can be obtained from the supersymmetric Chern-Simons (CS) like term in the gGHU setup. Although the latter term does not respect the exchange symmetry, we propose a novel way to introduce its breaking effect within a consistent orbifold construction. We also give a concrete setup of fermion field contents (bulk and boundary-localized fermions) that induce the requisite CS-like term, and calculate its coefficient from the bulk profile of chiral fermion zero modes. Our gGHU setup may be regarded as an extra-dimensional realization of the Goldstone gaugino scenario that was proposed before as a solution to the problem of the adjoint scalar masses.

   hep-phhep-thPTEP(2022)·6 citations
9. 09*

   Particle ratios with in Hadron Resonance Gas (HRG) and Artificial Neural Network (ANN) models

   R. M. Abdel Rahman🇪🇬 · Mahmoud Y. El-Bakry🇪🇬 · D. M. Habashy🇪🇬 · Abdel Nasser Tawfik🇪🇬 · Mahmoud Hanafy🇪🇬

   Comparison between various particle ratios such as $K^{-}/K^{+}$, ${\pi }^{-}/{\pi }^{+}$, $\bar{p}/p$, $\bar{\Lambda }/\Lambda$, $\bar{\Sigma }/\Sigma$, $\bar{\Omega }/\Omega$, $K^{+}/{\pi }^{+}$, $K^{-}/{\pi }^{-}$, $\bar{p}/{\pi }^{-}$, $p/{\pi }^{-}$, $\Lambda /{\pi }^{-}$, and $\Omega /{\pi }^{-}$ calculated using the HRG model with the results estimated from simulation and training of the ANN model in the presence of different experiments measurements such as AGS, SPS, RHIC and LHC energies is done. The success of ANN simulation model to describe the results from both phonological (HRG) model and experimental data will encourage to use it in various predictions for other particle ratios in regions where is no experiments.

   hep-ph1 citation
10. 10*

    Ghost dynamics from Schwinger-Dyson equations

    M. N. Ferreira🇧🇷

    We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon propagator and an approximate STI-derived Ansatz for the general kinematics three-gluon vertex. The numerical solution of the resulting coupled system exhibits excellent agreement to lattice data, for both the ghost dressing function and the ghost-gluon vertex, and allows the determination of the coupling constant. Next, in the soft gluon limit the full three-gluon vertex appearing in the ghost-gluon equation reduces to a special projection that is tightly constrained by lattice simulations. Specializing the ghost-gluon Schwinger-Dyson equation to this limit provides a nontrivial consistency check on the approximations employed for the three-gluon interaction and shows that the latter has an important quantitative effect on the ghost-gluon vertex. Finally, our results stress the importance of eliminating artifacts when confronting lattice data with continuum predictions.

    hep-phhep-lathep-thRev.Mex.Fis.Suppl.(2022)·0 citations
11. 11*

    Naturally Self-Tuned Low Mass Composite Scalars

    Christopher T. Hill🇺🇸

    Scalar bosons composed of a pair of chiral fermions in a non-confining potential have an effective Yukawa coupling, $g$, to free external chiral fermions. At large distance a Feynman loop of external fermions generates a scale invariant potential, $V_{loop}\propto -g^2/r^2$, which acts on valence fermions for separation $\rho =2r$. This generally forces the $s$-wave ground state to deform to a static, zero mass, configuration, and for slowly running, perturbative $g$, a large external "shroud" wave-function forms. This is related to old results of Landau and Lifshitz in quantum mechanics. The massless composite scalar boson ground state is then an extended object. Infra-red effects can generate a small mass for the system. This points to a perturbative BEH-boson composed of top and anti-top quarks and a novel dynamical mechanism for spontaneous electroweak symmetry breaking.

    hep-phgr-qchep-exhep-th4 citations
12. 12*

    Color-octet contributions for $J/\psi$ inclusive production at B factories in soft gluon factorization

    An-Ping Chen🇨🇳 · Xiao-Bo Jin🇨🇳 · Yan-Qing Ma🇨🇳 · Ce Meng🇨🇳

    We have studied color-octet contributions for $J/\psi$ inclusive production at B factories, i.e., $e^{+}{e}^{-}\to J/\psi {(}^3{P}_J^{[8]}{,}^1{S}_0^{[8]})+X_{\mathrm{non}-c\bar{c}}$, using the soft gluon factorization (SGF) approach, in which the $J/\psi$ energy spectrum is expressed in a form of perturbatively calculable short-distance hard parts convoluted with one-dimensional soft gluon distributions (SGDs). The series of velocity corrections originated from kinematic effect can be naturally resummed in this approach. Short-distance hard parts have been calculated analytically to next-to-leading order in ${\alpha }_s$. Renormalization group equations for SGDs have been derived and solved, which resums Sudakov logarithms originated from soft gluon emissions. Our final result gives a upper bound for color-octet matrix elements consistent with that extracted from hadron colliders. This may relieve the well-known universality problem in the NRQCD factorization. As a comparison, we also analytically calculated short-distance hard parts in the NRQCD factorization, with Sudakov logarithms resummed by using soft collinear effective theory. The comparison shows that velocity corrections from kinematic effect, which have been resummed in SGF, are significant for phenomenological study. Furthermore, it is found that Sudakov logarithms originated from soft gluon emissions are very important, while it is not the case for Sudakov logarithms originated from jet function. Therefore, the partial Sudakov resummation in SGF has already captured the main physics.

    hep-phhep-exJHEP(2022)·5 citations
13. 13*

    4D modular flavor symmetric models inspired by higher dimensional theory

    Shota Kikuchi🇯🇵 · Tatsuo Kobayashi🇯🇵 · Hajime Otsuka🇯🇵 · Morimitsu Tanimoto🇯🇵 · Hikaru Uchida🇯🇵 · Kei Yamamoto🇯🇵

    We study a scenario to derive four-dimensional modular flavor symmetric models from higher dimensional theory by assuming the compactification consistent with the modular symmetry. In our scenario, wavefunctions in extra dimensional compact space are modular forms. That leads to constraints on combinations between modular weights and ${\Gamma }_N$ (${\Gamma }_N^{\prime })$ representations of matter fields. We also present illustrating examples.

    hep-phhep-thPRD(2022)·21 citations
14. 14*

    Spin Asymmetries in Electron-jet Production at the EIC

    Zhong-Bo Kang🇺🇸 · Kyle Lee🇺🇸 · Ding Yu Shao🇨🇳 · Fanyi Zhao🇺🇸

    We investigate all the possible spin asymmetries that can occur in back-to-back electron-jet production with hadron observed inside a jet in electron-proton collisions. We derive the factorization formalism for all spin asymmetries and perform phenomenological studies for the future electron ion collider kinematics. We illustrate that the back-to-back electron-jet production opens up new opportunities to study transverse momentum dependent fragmentation functions and distribution functions.

    hep-phhep-exnucl-exnucl-thJPS Conf.Proc.(2022)·8 citations
15. 15*

    Importance of vector leptoquark-scalar box diagrams in Pati-Salam unification with vector-like families

    Syuhei Iguro🇩🇪 · Junichiro Kawamura🇰🇷 · Shohei Okawa🇪🇸 · Yuji Omura🇯🇵

    We study lepton flavor violating meson decays induced by box diagrams involving a vector leptoquark (LQ) and scalar fields in Pati-Salam (PS) unification with vector-like families. The vector LQ corresponds to the massive gauge boson associated with the PS gauge symmetry breaking and the scalar fields are the physical degrees of freedom of the PS breaking field. The LQ generally causes the rapid flavor violating decays, such as $K_L\to \mu e$, at the tree-level unless its mass scale is higher than PeV scale. The vector-like families are introduced to suppress the tree-level contributions mediated by the LQ and explain the realistic fermion mass matrices. In this paper, we point out that there are inevitable one-loop contributions to those meson decays from the box diagrams mediated by both one LQ and one scalar field, even if the tree-level contributions are suppressed. We consider a concrete model for demonstration, and find that the vector-like fermion masses have an upper bound for a given LQ mass when the one-loop induced meson decays are consistent with the experimental limits. The vector-like fermion mass should be lighter than 3 TeV for 20 TeV LQ, if a combination of the couplings does not suppress $K_L\to \mu e$ decay. Our findings would illustrate importance of the box diagrams involving both LQ and physical modes of symmetry breaking scalars in generic models.

    hep-phhep-exJHEP(2022)·10 citations
16. 16*

    Operators For Generic Effective Field Theory at any Dimension: On-shell Amplitude Basis Construction

    Hao-Lin Li🇨🇳 · Zhe Ren🇨🇳 · Ming-Lei Xiao🇨🇳 · Jiang-Hao Yu🇨🇳 · Yu-Hui Zheng🇨🇳

    We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering the operator as contact on-shell amplitude, the so-called amplitude operator correspondence, we provide a unified construction of the Lorentz and gauge and flavor structures by Young Tableau tensor. Several bases are constructed to emphasize different aspects: independence (y-basis and m-basis), repeated fields with flavors (p-basis), and conserved quantum numbers (j-basis). We also provide new algorithms for finding the m-basis by defining inner products for group factors and the p-basis by constructing the matrix representations of the Young symmetrizers from group generators. The on-shell amplitude basis gives us a systematic way to convert any operator into such basis, so that the conversions between any other operator bases can be easily done by linear algebra. All of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories).

    hep-phhep-thJHEP(2022)·82 citations
17. 17*

    Neutrino seesaw models at one-loop matching: Discrimination by effective operators

    Yong Du🇨🇳 · Xu-Xiang Li🇨🇳 · Jiang-Hao Yu🇨🇳

    Using the functional method, one-loop matching of the type-I, -II and -III seesaw models are investigated and the results are presented in both the Green's and the Warsaw bases. Although these models generate the same dimension-5 Weinberg operator, they could induce quite different types of dimension-6 effective operators that can be utilized for model discrimination. We also find the threshold effects from one-loop matching could be significant, which turn out to allow triggering electroweak symmetry breaking radiatively in type-II seesaw while forbid that in type-I/-III models. An analytical criterion for such radiative symmetry breaking is also derived in type-II seesaw. Finally, we investigate the indirect signatures from different types of dimension-6 operators at high-energy colliders, low-energy precision experiments and forward physics facilities for model discrimination.

    hep-phJHEP(2022)·36 citations
18. 18*

    Truncation, validity, uncertainties

    Ilaria Brivio🇩🇪 · Sally Dawson🇺🇸 · Jorge de Blas🇪🇸 · Gauthier Durieux🇨🇭 · Giovanni Petrucciani🇨🇭 · Pierre Savard (editors)🇨🇦 · Nicolas Berger🇫🇷 · Roberto Contino🇮🇹 · Céline Degrande🇧🇪 · Adam Falkowski🇫🇷 · Florian Goertz🇩🇪 · Andrei V. Gritsan🇺🇸 and 10 other authors

    The truncation of the standard-model effective field theory, its validity and the associated uncertainties have been discussed in meetings of the LHC EFT WG. Proposals were made by participants to address these issues. No consensus was reached and no formal recommendation is therefore put forward at this time. None of the proposals has been approved or validated and further work is needed to establish a prescription. This note aims at summarizing the proposals and points of debate.

    hep-phhep-ex51 citations
19. 19*

    Modelling annual scintillation arc variations in PSR J1643-1224 using the Large European Array for Pulsars

    G. Mall · R. A. Main · J. Antoniadis · C. G. Bassa · M. Burgay · S. Chen · I. Cognard · R. Concu · A. Corongiu · M. Gaikwad · H. Hu · G. H. Janssen and 16 other authors

    In this work we study variations in the parabolic scintillation arcs of the binary millisecond pulsar PSR J1643-1224 over five years using the Large European Array for Pulsars (LEAP). The 2D power spectrum of scintillation, called the secondary spectrum, often shows a parabolic distribution of power, where the arc curvature encodes the relative velocities and distances of the pulsar, ionised interstellar medium (IISM), and Earth. We observe a clear parabolic scintillation arc which varies in curvature throughout the year. The distribution of power in the secondary spectra are inconsistent with a single scattering screen which is fully 1D, or entirely isotropic. We fit the observed arc curvature variations with two models; an isotropic scattering screen, and a model with two independent 1D screens. We measure the distance to the scattering screen to be in the range 114-223 pc, depending on the model, consistent with the known distance of the foreground large-diameter HII region Sh 2-27 (112+/-17 pc), suggesting that it is the dominant source of scattering. We obtain only weak constraints on the pulsar's orbital inclination and angle of periastron, since the scintillation pattern is not very sensitive to the pulsar's motion, since the screen is much closer to the Earth than the pulsar. More measurements of this kind - where scattering screens can be associated with foreground objects - will help to inform the origins and distribution of scattering screens within our galaxy.

    ↳ astro-ph.HEhep-phMNRAS(2022)·39 citations
20. 20*

    Adiabatic evolution of the self-interacting axion field around rotating black holes

    Hidetoshi Omiya🇯🇵 · Takuya Takahashi🇯🇵 · Takahiro Tanaka🇯🇵

    Ultra light axion fields, motivated by the string theory, form a large condensate (axion cloud) around rotating black holes through superradiant instability. Several effects due to the axion cloud, such as the spin-down of black holes and the emission of monochromatic gravitational waves, open a new window to search for axions by astrophysical observations. When the axion self-interaction is considered, the evolution of cloud is altered significantly, and an explosive phenomenon called bosenova can happen. Thus, it is necessary to understand the precise evolution of self-interacting clouds for the detection of axions by astrophysical observations. In this paper, we propose a new method to track the whole process of the growth of self-interacting axion clouds employing the adiabatic approximation. We emphasize that our method relies neither on the non-relativistic approximation nor on perturbative treatment of the self-interaction, which is often used in literature. Our main finding is that the evolution of cloud in the strongly self-interacting regime depends on the strength of the gravitational coupling between the axion and the black hole. For a large coupling, the cloud evolves into a quasi-stationary state where the superradiant energy gain is balanced with the energy dissipation to infinity by the self-interaction. On the other hand, when one decreases the size of coupling, clouds become unstable at some energy, which would be interpreted as the onset of bosenova.

    ↳ gr-qchep-phhep-thPTEP(2022)·31 citations
21. 21*

    Global $\Lambda$ polarization in heavy-ion collisions at energies 2.4--7.7 GeV: Effect of Meson-Field Interaction

    Yu. B. Ivanov🇷🇺 · A. A. Soldatov🇷🇺

    Based on the three-fluid model, the global $\Lambda$ polarization in Au+Au collisions at 2.4 $\le \sqrt{s_{NN}}\le$ 7.7 GeV is calculated, including its rapidity and centrality dependence. Contributions from the thermal vorticity and meson-field term (proposed by Csernai, Kapusta and Welle) to the global polarization are considered. The results are compared with data from recent and ongoing STAR and HADES experiments. It is predicted that the polarization maximum is reached at $\sqrt{s_{NN}}\approx$ 3 GeV, if the measurements are performed with the same acceptance. The value of the polarization is very sensitive to interplay of the aforementioned contributions. In particular, the thermal vorticity results in quite strong increase of the polarization from the midrapidity to forward/backward rapidities, while the meson-field contribution considerably flattens the rapidity dependence. The polarization turns out to be very sensitive to details of the equation of state. While collision dynamics become less equilibrium with decreasing collision energy, the present approach to polarization is based on the assumption of thermal equilibrium. It is found that equilibrium is achieved at the freeze-out stage, but this equilibration takes longer at moderately relativistic energies.

    ↳ nucl-thhep-phnucl-exPRC(2022)·17 citations
22. 22*

    Cosmological direct detection of dark energy: non-linear structure formation signatures of dark energy scattering with visible matter

    Fulvio Ferlito🇩🇪 · Sunny Vagnozzi🇬🇧 · David F. Mota🇳🇴 · Marco Baldi🇮🇹

    We consider the recently proposed possibility that dark energy (DE) and baryons may scatter through a pure momentum exchange process, leaving the background evolution unaffected. Earlier work has shown that, even for barn-scale cross-sections, the imprints of this scattering process on linear cosmological observables is too tiny to be observed. We therefore turn our attention to non-linear scales, and for the first time investigate the signatures of DE-baryon scattering on the non-linear formation of cosmic structures, by running a suite of large N-body simulations. The observables we extract include the non-linear matter power spectrum, halo mass function, and density and baryon fraction profiles of halos. We find that in the non-linear regime the signatures of DE-baryon scattering are significantly larger than their linear counterparts, due to the important role of angular momentum in collapsing structures, and potentially observable. The most promising observables in this sense are the baryon density and baryon fraction profiles of halos, which can potentially be constrained by a combination of kinetic Sunyaev-Zeldovich (SZ), thermal SZ, and weak lensing measurements. Overall, our results indicate that future prospects for cosmological and astrophysical direct detection of non-gravitational signatures of dark energy are extremely bright.

    ↳ astro-ph.COgr-qchep-phMNRAS(2022)·63 citations
23. 23*

    Antistars in the Galaxy

    A.D. Dolgov🇷🇺

    Possible existence of antimatter in our Galaxy, in particular of antistars is discussed and the mechanism of their creation is described.

    ↳ astro-ph.COhep-phMoscow Univ.Phys.Bull.(2022)·1 citation
24. 24*

    The Difference between the Longitudinal and Transverse Gluon Propagators as an Indicator of the Postconfinement Domain

    V. G. Bornyakov🇷🇺 · N. V. Gerasimeniuk🇷🇺 · V. A. Goy🇷🇺 · R. N. Rogalyov🇷🇺

    We study numerically the dependence of the difference between the longitudinal and transverse gluon propagators, $\Delta =D_L-D_T$, on the momentum and temperature at $T\gtrsim T_c$ both in SU(2) and SU(3) gluodynamics. It is found that the integral of $\Delta$ with respect to the 3-momentum is sensitive only to infrared dynamics and shows a substantial correlation with the Polyakov loop. At $T=T_p\sim 1.2T_c$ it changes sign giving some evidence that $T_p$ can serve as a boundary of the postconfinement domain.

    ↳ hep-lathep-ph1 citation
25. 25*

    Exact result in N=4 SYM theory: Generalised double-logarithmic equation

    V.N. Velizhanin🇷🇺

    We present the new results for the generalised double-logarithmic equation, obtained from the analytical continuation of the seven-loop anomalous dimension of twist-2 operators in the planar N=4 SYM theory. The double-logarithmic equation is related to the special asymptotic of the scattering amplitudes, when the large logarithms of the energy of scattering particles are appeared and should be summed in all order of perturbative theory. These large logarithms correspond to the poles of the analytically continued anomalous dimension. The generalised double-logarithmic equation includes the subleading logarithms. We have found, that the expansion of the generalised double-logarithmic equation can be ressumed in the form of rational functions with simple denominator. The solution of the generalised double-logarithmic equation provides a lot of information about the poles of the analytically continued anomalous dimension in all orders of perturbative theory. We have found also the generalised double-logarithmic equation for the analytically continued anomalous dimension near the value, which is related with BFKL-equation.

    ↳ hep-thhep-phJHEP(2022)·6 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.