Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory

Abstract

We calculate the form factors for the semileptonic decays of heavy-light pseudoscalar mesons in partially quenched staggered chiral perturbation theory (\schpt), working to leading order in $1/m_Q$, where $m_Q$ is the heavy quark mass. We take the light meson in the final state to be a pseudoscalar corresponding to the exact chiral symmetry of staggered quarks. The treatment assumes the validity of the standard prescription for representing the staggered ``fourth root trick'' within \schpt by insertions of factors of 1/4 for each sea quark loop. Our calculation is based on an existing partially quenched continuum chiral perturbation theory calculation with degenerate sea quarks by Becirevic, Prelovsek and Zupan, which we generalize to the staggered (and non-degenerate) case. As a by-product, we obtain the continuum partially quenched results with non-degenerate sea quarks. We analyze the effects of non-leading chiral terms, and find a relation among the coefficients governing the analytic valence mass dependence at this order. Our results are useful in analyzing lattice computations of form factors $B\to \pi$ and $D\to K$ when the light quarks are simulated with the staggered action.

arXiv comment53 pages, 8 figures, v2: Minor correction to the section on finite volume effects, and typos fixed. Version to be published in Phys. Rev. D

References in corpus (45)

• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Quenched Chiral Logarithms
• Pion and Kaon masses in Staggered Chiral Perturbation Theory
• Partial Flavor Symmetry Restoration for Chiral Staggered Fermions
• B Meson Semileptonic Form Factors from Unquenched Lattice QCD
• Semileptonic decays of $D$ mesons in three-flavor lattice QCD
• Partially quenched chiral perturbation theory without ${\Phi }_0$
• Charmed meson decay constants in three-flavor lattice QCD
• Semileptonic D->pi/K and B->pi/D decays in 2+1 flavor lattice QCD
• Enhanced chiral logarithms in partially quenched QCD
• Pseudoscalar Decay Constants in Staggered Chiral Perturbation Theory
• Quenched Chiral Perturbation Theory for Heavy-light Mesons
• Chiral Perturbation Theory for $f_{D_S}/f_D$ and $B_{B_S}/B_B$
• Staggered eigenvalue mimicry
• Extraction of the D^*Dπcoupling from D^* decays
• Partially Quenched Chiral Perturbation Theory and the Replica Method
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scaling tests with dynamical overlap and rooted staggered fermions
• Chiral Logs in the Presence of Staggered Flavor Symmetry Breaking
• Observations on staggered fermions at non-zero lattice spacing
• The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
• The B_s and D_s decay constants in 3 flavor lattice QCD
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Application of heavy-quark effective theory to lattice QCD: I. Power Corrections
• Chiral Perturbation Theory for SU(3) Breaking in Heavy Meson Systems
• Heavy-light mesons with staggered light quarks
• Heavy meson chiral perturbation theory in finite volume
• Staggered Chiral Perturbation Theory for Heavy-Light Mesons
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• Chiral and Heavy Quark Symmetry Violation in B Decays
• Heavy Quarks and Lattice QCD
• Staggered Chiral Perturbation Theory at Next-to-Leading Order
• $\bar B\to\bar K\e^+\e^-$ in Chiral Perturbation Theory
• Lattice fermions with complex mass
• On the fourth root prescription for dynamical staggered fermions
• Validity of the Rooted Staggered Determinant in the continuum limit
• Staggered Chiral Perturbation Theory
• B -> D* l nu and B -> D l nu form factors in staggered chiral perturbation theory
• Staggered Chiral Perturbation Theory with Heavy-Light Mesons
• A simplified test of universality in Lattice QCD
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• Status of Lattice Flavor Physics
• Heavy-Light Meson Semileptonic Decays with Staggered Light Quarks

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