The analytical values of the sunrise master integrals for one of the masses equal to zero

Abstract

The analytical values of the sunrise master amplitudes were found for one mass equal to zero, two other arbitrary masses and an arbitrary external four momentum. Differential equations in the square of the external four momentum and masses were used to obtain the master integrals.

References in corpus (1)

• The Threshold Expansion of the 2-loop Sunrise Selfmass Master Amplitudes

Cited by in corpus (8)

• O(αα_s) correction to the pole mass of the t-quark within the Standard Model
• Asymptotics of Feynman Diagrams and The Mellin-Barnes Representation
• BOKASUN: a fast and precise numerical program to calculate the Master Integrals of the two-loop sunrise diagrams
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Analytic representations of $m_K$, $F_K$, $m_{\eta }$ and $F_{\eta }$ in two loop $SU(3)$ chiral perturbation theory
• Special case of sunset: reduction and epsilon-expansion
• An Analytic Approach to Sunset Diagrams in Chiral Perturbation Theory: Theory and Practice
• Next-to-leading order contributions to the pole mass of gluino in minimal gauge mediation