Reparametrization Invariance and Partial Re-Summations of the Heavy Quark Expansion

Abstract

We extend existing work on reparametrization invariance (RPI) of the heavy-quark expansion. We discuss the total rates of inclusive processes and obtain results which have a manifest RPI and can be expressed through matrix elements of operators and states defined in full QCD. This approach leads to a partial re-summation of higher-order terms in the heavy-quark expansion and has the advantage that the number of independent parameters is reduced.

22 pages

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Cited by in corpus (22)

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• NLO QCD Corrections to Inclusive $b\to c\ell \bar{\nu }$ Decay Spectra up to $1/m_Q^3$
• The Heavy Quark Expansion for Inclusive Semileptonic Charm Decays Revisited
• NLO QCD corrections to inclusive semitauonic weak decays of heavy hadrons up to $1/m_b^3$
• Poincaré invariance in NRQCD and pNRQCD revisited
• The heavy quark expansion for lifetimes: Towards the QCD corrections to power suppressed terms
• Reparameterization Invariant Operator Basis for NRQED and HQET
• Quark-hadron duality at work: lifetimes of bottom baryons
• Inclusive Semileptonic $b\to c\ell \bar{\nu }$ Decays to Order $1/m_b^5$
• Impact of background effects on the inclusive $V_{cb}$ determination
• New physics contributions to moments of inclusive $b\to c$ semileptonic decays
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• Charming Darwin: the evolution of QCD parameters across different species
• Inclusive semileptonic $B_s^0$ meson decays at the LHC via a sum-of-exclusive modes technique: possibilities and prospects
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• Standard Model predictions for Lepton Flavour Universality ratios of inclusive semileptonic $B$ decays