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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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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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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Inequalities of Some Trigonometric Functions [PDF]
, 2003 By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power series expansions of cotangent function, secant function, cosecant function and logarithms of functions involving sine function, cosine function and ...
Qi, Feng, Chen, Chao-Ping
core +6 more sources
All orders structure and efficient computation of linearly reducible elliptic Feynman integrals
Journal of High Energy Physics, 2019 We define linearly reducible elliptic Feynman integrals, and we show that they can be algorithmically solved up to arbitrary order of the dimensional regulator in terms of a 1-dimensional integral over a polylogarithmic integrand, which we call the inner
Martijn Hidding, Francesco Moriello
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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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Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms [PDF]
, 2019 International audienceWe describe algorithms to compute elliptic functions and their relatives (Jacobi theta functions, modular forms, elliptic integrals, and the arithmetic-geometric mean) numerically to arbitrary precision with rigorous error bounds ...
Johansson, Fredrik
core +2 more sources
Three-loop contributions to the ρ parameter and iterated integrals of modular forms
Journal of High Energy Physics, 2020 We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the ρ parameter in the Standard Model.
Samuel Abreu +3 more
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On-shell Z boson production at hadron colliders through 𝒪(αα s )
Journal of High Energy Physics, 2022 The analytical expressions of the mixed QCD-EW corrections to on-shell Z boson inclusive production cross section at hadron colliders are presented, together with computational details.
Roberto Bonciani +3 more
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