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Lattice Study of Spectator Effects in $b$-hadron Decays
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abstract
The Heavy Quark Expansion (HQE) gives an expansion of inclusive decay rates of $b$-hadrons as a simultaneous series in $\alpha_s$ and $1/m_b$, in terms of perturbatively defined coefficients and non-perturbative matrix elements. Spectator effects arise from the dimension-$6$ operators in the HQE in which along with the heavy quark, a light spectator quark from the hadron participates in the weak decay. In this work, we provide a lattice determination of the bare matrix elements that contribute to the spectator effects for the $B^+$-meson, $B_d$-meson and the $\Lambda_b$-baryon. The computations were performed on two separate lattice spacings of the RBC-UKQCD (2+1)-flavor Domain Wall Fermion ensembles. Renormalization and continuum extrapolation of the matrix elements have not yet been computed, and are left to future work.
Forward citations
Cited by 2 Pith papers
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Total decay rates of $B$ mesons at NNLO-QCD
At NNLO in QCD, the heavy quark expansion predicts the B+, Bd, and Bs decay widths and semileptonic branching fractions within experimental uncertainties, with a systematic 4% shortfall in the central width values.
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HQET sum rules for matrix elements of dimension-six four-quark operators for meson lifetimes within and beyond the Standard Model
HQET sum rules yield the first four-quark bag parameters for B-meson lifetimes with beyond-standard-model operators, plus updated standard-model results.
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