Results 21 to 30 of about 1,325 (265)
Generalized Elliptic-Type Integrals and Generating Functions
Demonstratio Mathematica, 2014 On account of analytical importance or application in certain problems in radiation physics and nuclear technology, several interesting families of elliptic-type integrals were recently studied by many authors.
Chaurasia V. B. L., Singh Yudhveer
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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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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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Journal of High Energy Physics, 2021 We present a complete set of analytic helicity amplitudes for top quark pair production via gluon fusion at two-loops in QCD. For the first time, we include corrections due to massive fermion loops which give rise to integrals over elliptic curves.
Simon Badger +3 more
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Semi-integration of certain algebraic expressions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The theory of fractional calculus developed rapidly as the applications of this branch are extensive nowadays. There is no discipline of modern engineering and science that remains untouched by the techniques of fractional calculus. In fact, one
M.I. Qureshi, J. Majid
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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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Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021 In this paper, we mainly aim at highlighting the importance of (hyper-)elliptic integrals in the study of gravitational effects caused by strongly gravitating systems.
Fathi, M., Villanueva, J.R.
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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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Computers in Physics, 1990 <p>Published - <a href="/records/0pw9h-1e733/files/1.4822893.pdf?download=1">1.4822893.pdf</a></p>
Press, William H., Teukolsky, Saul A.
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Modular transformations of elliptic Feynman integrals
Nuclear Physics B, 2021 We investigate the behaviour of elliptic Feynman integrals under modular transformations. This has a practical motivation: Through a suitable modular transformation we can achieve that the nome squared is a small quantity, leading to fast numerical ...
Stefan Weinzierl
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