Results 11 to 20 of about 15,331 (264)
SOLUTION TO A PARABOLIC DIFFERENTIAL EQUATION IN HILBERT SPACE VIA FEYNMAN FORMULA I
Моделирование и анализ информационных систем, 2015 A parabolic partial differential equation u′t (t, x) = Lu(t, x) is considered, where L is a linear second-order differential operator with time-independent coefficients, which may depend on x. We assume that the spatial coordinate x belongs to a finiteor
I. D. Remizov
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Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
Journal of High Energy Physics, 2022 We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ).
Ekta Chaubey +2 more
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Elliptic polylogarithms and iterated integrals on elliptic curves. Part I: general formalism
Journal of High Energy Physics, 2018 We introduce a class of iterated integrals, defined through a set of linearly independent integration kernels on elliptic curves. As a direct generalisation of multiple polylogarithms, we construct our set of integration kernels ensuring that they have ...
Johannes Broedel +3 more
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Two-loop master integrals for pseudo-scalar quarkonium and leptonium production and decay
Journal of High Energy Physics, 2022 We compute the master integrals relevant for the two-loop corrections to pseudo-scalar quarkonium and leptonium production and decay. We present both analytic and high-precision numerical results.
Samuel Abreu +3 more
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FoundationsThe aim of this work was to construct explicit expressions for the summation of Dirichlet Beta functions with odd arguments and Zeta functions with even arguments.
Antonio E. Bargellini +2 more
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Towards analytic structure of Feynman parameter integrals with rational curves
Journal of High Energy Physics, 2022 We propose a strategy to study the analytic structure of Feynman parameter integrals where singularities of the integrand consist of rational irreducible components.
Jianyu Gong, Ellis Ye Yuan
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On improper multiple integrals [PDF]
Transactions of the American Mathematical Society, 1906 ibln,) (XIls XM )d2t when n1, n2k . In both the writings of JORDAN and VALLUE-POUSSIN the field of integration 2f is more or less restricted. The theory of JORDAN requires 2t to have inner points; moreover much of it is essentially limited to measurable fields. The fields considered by VALLUE-POUSSIN are even more restricted.
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The ε-form of the differential equations for Feynman integrals in the elliptic case
Physics Letters B, 2018 Feynman integrals are easily solved if their system of differential equations is in ε-form. In this letter we show by the explicit example of the kite integral family that an ε-form can even be achieved, if the Feynman integrals do not evaluate to ...
Luise Adams, Stefan Weinzierl
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Journal of High Energy Physics, 2018 We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The master integrals are evaluated by means of the differential equations method
Matteo Becchetti, Roberto Bonciani
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Two-loop master integrals for a planar and a non-planar topology relevant for single top production
Journal of High Energy Physics, 2023 We provide analytic results for two-loop four-point master integrals with one massive propagator and one massive leg relevant to single top production. Canonical bases of master integrals are constructed and the Simplified Differential Equations approach
Nikolaos Syrrakos
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