Results 11 to 20 of about 141,680 (280)
On epsilon factorized differential equations for elliptic Feynman integrals
Journal of High Energy Physics, 2022 In this paper we develop and demonstrate a method to obtain epsilon factorized differential equations for elliptic Feynman integrals. This method works by choosing an integral basis with the property that the period matrix obtained by integrating the ...
Hjalte Frellesvig
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An infinite family of elliptic ladder integrals
Journal of High Energy Physics, 2023 We identify two families of ten-point Feynman diagrams that generalize the elliptic double box, and show that they can be expressed in terms of the same class of elliptic multiple polylogarithms to all loop orders.
Andrew McLeod +4 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation.
C. Ashyralyyev, A. Cay
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Return Probability of Quantum and Correlated Random Walks
Entropy, 2022 The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of quantum and correlated random walks in the one-dimensional integer ...
Chusei Kiumi, Norio Konno, Shunya Tamura
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Computers in Physics, 1990 [no abstract] ; © 1990 AIP Publishing.
Press, William H., Teukolsky, Saul A.
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Journal of High Energy Physics, 2023 In this paper, we investigate two-loop non-planar triangle Feynman integrals involving elliptic curves. In contrast to the Sunrise and Banana integral families, the triangle families involve non-trivial sub-sectors. We show that the methodology developed
Xuhang Jiang +3 more
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Fractional order elliptic problems with inhomogeneous Dirichlet boundary conditions [PDF]
, 2020 Fractional-order elliptic problems are investigated in case of inhomogeneous Dirichlet boundary data. The boundary integral form is proposed as a suitable mathematical model.
Izsák, Ferenc, Maros, Gábor
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Local mirror symmetry and the sunset Feynman integral [PDF]
, 2016 We study the sunset Feynman integral defined as the scalar two-point self-energy at two-loop order in a two dimensional space-time. We firstly compute the Feynman integral, for arbitrary internal masses, in terms of the regulator of a class in the ...
Bloch, Spencer +2 more
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The Elliptic Double-Box Integral: Massless Amplitudes Beyond Polylogarithms [PDF]
, 2018 We derive an analytic representation of the ten-particle, two-loop double-box integral as an elliptic integral over weight-three polylogarithms. To obtain this form, we first derive a four-fold, rational (Feynman-)parametric representation for the ...
Bourjaily, Jacob L. +4 more
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A Feynman integral depending on two elliptic curves
Journal of High Energy Physics, 2022 We study a two-loop four-point function with one internal mass. This Feynman integral is one of the simplest Feynman integrals depending on two elliptic curves. We transform the associated differential equation into an ε-form. We study the entries of the
Hildegard Müller, Stefan Weinzierl
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