Three-loop corrections to the muon and heavy quark decay rates

Abstract

Recently, $O({\alpha }^3)$ corrections to the muon decay rate and $O({\alpha }_s^3)$ to heavy quark decays have been determined by Fael, Schönwald, and Steinhauser. This is the first such perturbative improvement of these important quantities in more than two decades. We reveal and explain a symmetry pattern in these new corrections, and confirm the most technically difficult parts of their evaluation.

minor improvements, added figure and references, version to appear as a Letter in the Physical Review D

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• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Light quark mass effects in the on-shell renormalization constants
• Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight
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• Exact results for $Z_m^{\mathrm{OS}}$ and $Z_2^{\mathrm{OS}}$ with two mass scales and up to three loops
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Cited by in corpus (10)

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• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Michel parameters in the presence of massive Dirac and Majorana neutrinos
• Quark-hadron duality at work: lifetimes of bottom baryons
• Radiative (anti)neutrino energy spectra from muon, pion, and kaon decays
• Third order correction to semileptonic $b\to u$ decay: fermionic contributions
• Complete one-loop QED corrections to $D_s^{+}$ leptonic decays and impact on the CKM unitarity test