Results 21 to 30 of about 1,712 (185)
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Journal of High Energy Physics, 2018 We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on large classes of periods that is applied in particular to elliptic ...
Johannes Broedel +4 more
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Integral representations for elliptic functions
Journal of Mathematical Analysis and Applications, 2006 We derive new integral representations for objects arising in the classical theory of elliptic functions: the Eisenstein series $E_s$, and Weierstrass' $\wp$ and $ζ$ functions. The derivations proceed from the Laplace-Mellin transformation for multipoles, and an elementary lemma on the summation of 2D geometric series.
Dienstfrey, Andrew, Huang, Jingfang
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The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering
Nuclear Physics B, 2019 We calculate the massive two–loop pure singlet Wilson coefficients for heavy quark production in the unpolarized case analytically in the whole kinematic region and derive the threshold and asymptotic expansions.
J. Blümlein +3 more
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Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
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Journal of High Energy Physics, 2023 We studied the two-loop non-factorizable Feynman diagrams for the t-channel single-top production process in quantum chromodynamics. We present a systematic computation of master integrals of the two-loop Feynman diagrams with one internal massive ...
Zihao Wu, Ming-Ming Long
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Mechanics of infinitesimal gyroscopes on helicoid-catenoid deformation family of minimal surfaces [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2021 In this paper we explore the mechanics of infinitesimal gyroscopes (test bodies with internal degrees of freedom) moving on an arbitrary member of the helicoid-catenoid family of minimal surfaces.
Vasyl Kovalchuk +2 more
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One-loop open-string integrals from differential equations: all-order α′-expansions at n points
Journal of High Energy Physics, 2020 We study generating functions of moduli-space integrals at genus one that are expected to form a basis for massless n-point one-loop amplitudes of open superstrings and open bosonic strings.
Carlos R. Mafra, Oliver Schlotterer
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Yangian Ward identities for fishnet four-point integrals
Journal of High Energy Physics, 2022 We derive and study Yangian Ward identities for the infinite class of four-point ladder integrals and their Basso-Dixon generalisations. These symmetry equations follow from interpreting the respective Feynman integrals as correlation functions in the ...
Luke Corcoran +2 more
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Two-loop integrals for CP-even heavy quarkonium production and decays: elliptic sectors
Journal of High Energy Physics, 2018 By employing the differential equations, we compute analytically the elliptic sectors of two-loop master integrals appearing in the NNLO QCD corrections to CP-even\ heavy quarkonium exclusive production and decays, which turns out to be the last and ...
Long-Bin Chen, Jun Jiang, Cong-Feng Qiao
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Open-string integrals with multiple unintegrated punctures at genus one
Journal of High Energy Physics, 2022 We study integrals appearing in intermediate steps of one-loop open-string amplitudes, with multiple unintegrated punctures on the A-cycle of a torus. We construct a vector of such integrals which closes after taking a total differential with respect to ...
André Kaderli, Carlos Rodriguez
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