Three-loop HQET vertex diagrams for B^0 -\bar{B}^0 mixing

Abstract

Three-loop vertex diagrams in HQET needed for sum rules for B^0 - \bar{B}^0 mixing are considered. They depend on two residual energies. An algorithm of reduction of these diagrams to master integrals has been constructed. All master integrals are calculated exactly in d dimensions; their epsilon expansions are also obtained.

JHEP documentclass

References in corpus (5)

• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals
• Lectures on multiloop calculations
• B0 - anti-B0 mixing beyond factorization
• Differential equations and high-energy expansion of two--loop diagrams in D dimensions

Cited by in corpus (12)

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• $B^0-{\bar{B}}^0$ Mixing at Next-to-Leading Order
• Phenomenological Study of Heavy Hadron Lifetimes
• $SU(3)$ breaking effects in $B$ and $D$ meson lifetimes
• Towards a Next-to-Next-to-Leading Order analysis of matching in $B^0$-${\bar{B}}^0$ mixing
• $B^0$-${\bar{B}}^0$ mixing: matching to HQET at NNLO
• HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model