Towards a next-to-next-to-leading order analysis of matching in B0−B¯0 mixing

2017/06/30 by Andrey G. Grozin, Andrey Grozin, Thomas Mannel +2
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Basis (linear algebra) #Chemistry #Computer science #Geometry #High-Energy Particle Collisions Research #Matching (statistics) #Mathematical physics #Mathematics #Matrix (chemical analysis) #Operator (biology) #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Statistics #hep-ph

paper · pdf · doi:10.1103/physrevd.96.074032

published as Phys. Rev. D 96, 074032 (2017) · 17 pages, 4 figures; v2: 3 refs added, corresponds to the published version

openalex created_date 2017/06/30 · arxiv created 2017/10/27 · openalex publication_date 2017/10/30 · arxiv updated 2017/11/08 · openalex updated_date 2026/08/06

Abstract

We compute perturbative corrections to matching coefficients of QCD to heavy quark effective theory (HQET) for the matrix element of the \mathrm\ensuremathΔB=2 operator that determines the mass difference in B⁰\text\ensuremath-B⁰ system of states. This involves the technical point of choosing the operator basis in HQET, separating physical operators from evanescent ones. We obtain an analytical result for some of the two-loop corrections at order \ensuremathα_s².

Citations

• Renormalization of ΔB = 2 transitions in the static limit beyond leading logarithms
• Leptonic Decays of Charged Pseudoscalar Mesons
• Regularization and renormalization of gauge fields
• Effects of Superheavy Quarks and Leptons in Low-Energy Weak Processes KL-> Formula, K+-> + Formula and K0 Formula0
• B Mixing in the Standard Model and Beyond