B-->pi and B-->K transitions in standard and quenched chiral perturbation theory

Abstract

We study the effects of chiral logs on the heavy-->light pseudoscalar meson transition form factors by using standard and quenched chiral perturbation theory combined with the static heavy quark limit. The resulting expressions are used to indicate the size of uncertainties due to the use of the quenched approximation in the current lattice studies. They may also be used to assess the size of systematic uncertainties induced by missing chiral log terms in extrapolating toward the physical pion mass. We also provide the coefficient multiplying the quenched chiral log, which may be useful if the quenched lattice studies are performed with very light mesons.

arXiv comment33 pages, 8 PostScript figures, version to appear in PRD

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• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• $B\to \pi \ell \nu$ and $B_s\to K\ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
• $B\to K{l}^{+}{l}^{-}$ decay form factors from three-flavor lattice QCD
• Phenomenology of semileptonic B-meson decays with form factors from lattice QCD
• Theoretical estimate of the $D^{\ast }\to D\pi$ decay rate
• Heavy Quarks and Lattice QCD
• g(B*Bpi)-coupling in the static heavy quark limit
• D*-->Dpi and D*-->Dgamma decays: Axial coupling and Magnetic moment of D* meson
• Charm meson resonances and D to V semileptonic form factors
• On the mass differences between the scalar and pseudoscalar heavy-light mesons
• Charm meson resonances in $D\to P\ell \nu$ decays
• Lattice measurement of the couplings g_infinity and g_Bstar_B_pi
• Visualization of semileptonic form factors from lattice QCD
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• Chiral corrections and lattice QCD results for fBs/fBd and (Delta ms/Delta md)
• SU(2) chiral perturbation theory for Kl3 decay amplitudes
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• Heavy Quarks on the Lattice
• Semileptonic decays of $D$ mesons in unquenched lattice QCD
• Long distance chiral corrections in B meson amplitudes
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond