The B*Bpi coupling using relativistic heavy quarks

Abstract

We report on a calculation of the B*Bpi coupling in lattice QCD. The strong matrix element for a B* to Bpi transition is directly related to the leading order low-energy constant in heavy meson chiral perturbation theory (HMChPT) for B mesons. We carry out our calculation directly at the b-quark mass using a non-perturbatively tuned clover action that controls discretization effects of order pa and (ma)^n for all n. Our analysis is performed on RBC/UKQCD gauge configurations using domain-wall fermions and the Iwasaki gauge action at two lattice spacings of ainverse = 1.729(25) GeV, ainverse = 2.281(28) GeV, and unitary pion masses down to 290 MeV. We achieve good statistical precision and control all systematic uncertainties, giving a final result for the HMChPT coupling g_b = 0.56(3)stat(7)sys in the continuum and at the physical light-quark masses. This is the first calculation performed directly at the physical b-quark mass and lies in the region one would expect from carrying out an interpolation between previous results at the charm mass and at the static point.

Postprint: version accepted for publication

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• The $\bar{B}\to \pi$ form factors from QCD and their impact on $|V_{ub}|$
• $P$-wave coupled-channel scattering of $B_s\pi ,B_s^{\ast }\pi ,B\overline{K},B^{\ast }\overline{K}$ and the puzzling $X(5568)$
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• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Remarks on the Standard Model predictions for $R(D)$ and $R(D^{\ast })$
• Toward accurate form factors for $B$-to-light meson decay from lattice QCD
• Revisiting $B\to K^{\ast }(\to K\pi )\nu \bar{\nu }$ decays
• Hindered magnetic dipole transitions between P-wave bottomonia and coupled-channel effects
• Heavy-meson chiral Lagrangians, effective flavored couplings, SU(4) flavor breaking and their consequences
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings from Dyson-Schwinger equations framework