Abstract
We consider a set of two-loop sunrise master integrals with two different internal masses at pseudo-threshold kinematics and we solve it in terms of elliptic polylogarithms to all orders of the dimensional regulator.
Highlights
Progress in this direction has been made in [35], where eMPLs are defined on the complex plane, and their structure naturally adapts to representations of Feynman integrals commonly used in the physics literature (e.g. Feynman parameters)
Similar results exist for three-point and fourpoint two-loop Feynman diagrams in non-relativistic limits of Quantum Chromodynamics (NRQCD) kinematics (see ref. [56] for O(ε0) results and [112] for results to every order in ε in terms of s+1Fs-hypergeometric functions with s ≤ 7)
In this paper we studied a family of sunrise integrals with two different internal masses and pseudo-threshold kinematics in dimensional regularisation
Summary
[71] we study the sunrise integral topology defined as, Ji1,i2,i3 (m2, M 2) =. This integral family has three master integrals, which can be chosen to be J1,1,1, J1,1,2, J1,2,2 and which can be solved in closed form in terms of hypergeometric functions [71] as, J1,2,2(m2, M 2) = −
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