B -> D* l nu and B -> D l nu form factors in staggered chiral perturbation theory

Abstract

We calculate the B -> D and B -> D* form factors at zero recoil in Staggered Chiral Perturbation Theory. We consider heavy-light mesons in which only the light (u, d, or s) quark is staggered; current lattice simulations generally use a highly improved action such as the Fermilab or NRQCD action for the heavy (b or c) quark. We work to lowest nontrivial order in the heavy quark expansion and to one-loop in the chiral expansion. We present results for a partially quenched theory with three sea quarks in which there are no mass degeneracies (the "1+1+1" theory) and for a partially quenched theory in which the u and d sea quark masses are equal (the "2+1" theory). We also present results for full (2+1) QCD, along with a numerical estimate of the size of staggered discretization errors. Finally, we calculate the finite volume corrections to the form factors and estimate their numerical size in current lattice simulations.

19 pages, 6 figures, references added, expanded discussion in Section IV

References in corpus (6)

• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Charmed meson decay constants in three-flavor lattice QCD
• Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Staggered Chiral Perturbation Theory at Next-to-Leading Order
• Algorithms for Lattice QCD with Dynamical Fermions

Cited by in corpus (21)

• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• The $B\to D\ell \nu$ form factors at nonzero recoil and $|V_{cb}|$ from $2+1$-flavor lattice QCD
• Flavor Physics in the Quark Sector
• Lattice QCD calculation of form factors describing the rare decays $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ and $B_s\to \varphi {\ell }^{+}{\ell }^{-}$
• B- and D-meson decay constants from three-flavor lattice QCD
• Update of $|V_{cb}|$ from the $\bar{B}\to D^{\ast }\ell \bar{\nu }$ form factor at zero recoil with three-flavor lattice QCD
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• The B -> D* l nu form factor at zero recoil from three-flavor lattice QCD: A model independent determination of |V_cb|
• $B_s\to D_s\ell \nu$ Form Factors for the full $q^2$ range from Lattice QCD with non-perturbatively normalized currents
• Semileptonic form factors for $B\to D^{\ast }\ell \nu$ at nonzero recoil from 2 + 1-flavor lattice QCD
• Lattice QCD calculation of the $B_{(s)}\to D_{(s)}^{\ast }\ell \nu$ form factors at zero recoil and implications for $|V_{cb}|$
• B_s->D_s/B->D Semileptonic Form-Factor Ratios and Their Application to BR(B^0_s->μ^+μ^-)
• Lattice QCD form factor for $B_s\to D_s^{\ast }l\nu$ at zero recoil with non-perturbative current renormalisation
• Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory
• D-meson semileptonic decays to pseudoscalars from four-flavor lattice QCD
• Chiral Perturbation Theory for All-Staggered Heavy-Light Mesons
• Determination of the CKM matrix elements |V(xb)|
• Progress on semi-leptonic $B_{(s)}$ decays
• Chiral loop corrections to weak decays of B mesons to positive and negative parity charmed mesons
• Current Physics Results from Staggered Chiral Perturbation Theory
• Role of Resonances in Heavy Meson Processes within Standard Model and Beyond