HQET vertex diagram: $\epsilon$ expansion

Abstract

Differential equations for the one-loop HQET vertex diagram with arbitrary self-energy insertions and arbitrary residual energies are reduced to the $\epsilon$ form and used to obtain the $\epsilon$ expansion in terms of Goncharov polylogarithms.

arXiv comment7 pages; v2: ref [13] added, 2 typos fixed; v3: 1 ref added, 1 typo fixed; v4: 2 refs added

References in corpus (11)

• Harmonic Polylogarithms
• Multiloop integrals in dimensional regularization made simple
• Numerical evaluation of multiple polylogarithms
• HPL, a Mathematica implementation of the harmonic polylogarithms
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Reducing differential equations for multiloop master integrals
• New results for the epsilon-expansion of certain one-, two- and three-loop Feynman diagrams
• Extension of HPL to complex arguments
• The Isgur-Wise Function to $O({\alpha }_s)$ from Sum Rules in the Heavy Quark Effective Theory
• Heavy quark form factors in the large ${\beta }_0$ limit

Cited by in corpus (1)

• Analytic continuations of the Horn $H_1$ and $H_5$ functions