Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
Heavy Quark Effective Theory beyond Perturbation Theory: Renormalons, the Pole Mass and the Residual Mass Term
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abstract
We study the asymptotic behaviour of the perturbative series in the heavy quark effective theory (HQET) using the $1/N_f$ expansion. We find that this theory suffers from an {\it ultraviolet} renormalon problem, corresponding to a non-Borel-summable behaviour of perturbation series in large orders, and leading to a principal nonperturbative ambiguity in its definition. This ambiguity is related to an {\it infrared} renormalon in the pole mass and can be understood as the necessity to include the residual mass term $\delta m$ in the definition of HQET, which must be considered as ambiguous (and possibly complex), and is required to cancel the ultraviolet renormalon singularity generated by the perturbative expansion. The formal status of $\delta m$ is thus identical to that of condensates in the conventional short-distance expansion of correlation functions in QCD. The status of the pole mass of a heavy quark, the operator product expansion for inclusive decays, and QCD sum rules in the HQET are discussed in this context.
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NNLO QCD calculations using the MaunaKea code enhance c cbar and b bbar production cross sections by up to a factor of two over NLO predictions, reduce scale uncertainties, and match experimental data from 10 GeV to 14 TeV while suggesting PDF and mass constraints.
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Next-to-next-to-leading QCD corrections to the $\mathbf{B^+}$-$\mathbf{B_d^0}$, $\mathbf{D^+}$-$\mathbf{D^0}$, and $\mathbf{D_s^+}$-$\mathbf{D^0}$ lifetime ratios
Three-loop perturbative corrections to B and D meson lifetime ratios are calculated, producing values that agree with experiment when using HQET sum rules or lattice inputs.
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The Fate of Ultra-Collinear Modes in On-Shell Massive Sudakov Form Factors
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Inclusive charm and bottom quark pair production cross sections at hadron colliders at next-to-next-to-leading-order accuracy
NNLO QCD calculations using the MaunaKea code enhance c cbar and b bbar production cross sections by up to a factor of two over NLO predictions, reduce scale uncertainties, and match experimental data from 10 GeV to 14 TeV while suggesting PDF and mass constraints.
- Correlator of heavy-light quark currents in HQET in the large $\beta_0$ limit