Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order

Abstract

We present analytical results for master integrals emerging in the computation of differential rates for inclusive weak decays of heavy flavors at next-to-leading order (NLO) in QCD. As an immediate physical application, these master integrals allow for a calculation of the spectra of the leptonic invariant mass in inclusive semileptonic decays in the framework of the heavy quark expansion, including the NLO QCD corrections to power suppressed terms.

30 pages and 8 figures

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Cited by in corpus (3)

• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms