Chiral perturbation theory for all-staggered heavy-light mesons

2013/09/18 by C. Bérnard, Claude Bernard, Javad Komijani
Physics and Astronomy · #B meson #Bottom quark #Charm quark #Chiral perturbation theory #Fermilab #High-Energy Particle Collisions Research #Lattice QCD #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Top quark #hep-lat

paper · pdf · doi:10.1103/physrevd.88.094017

published as Phys. Rev. D 88, 094017 (2013)

arxiv created 2013/09/18 · openalex publication_date 2013/11/22 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In highly improved staggered quark simulations by the HPQCD, MILC, and Fermilab Lattice collaborations, both the light quarks and the charm quark are staggered. We extend chiral perturbation theory for staggered quarks to include such all-staggered heavy-light mesons. We assume that the heavy quark action is sufficiently improved that we may take am_Q\ensuremath≪1 (where m_Q is the heavy quark mass), but also that m_Q\ensuremath≫\ensuremathΛ_QCD so that a continuum heavy quark expansion is appropriate. We develop this effective chiral theory through next-to-leading order, and use it to study the pattern of taste splittings in the heavy-light meson and to compute the leptonic decay constant of the heavy-light meson to one loop in the chiral expansion.

Citations

• Heavy meson chiral perturbation theory in finite volume
• Tuning Fermilab heavy quarks in2+1flavor lattice QCD with application to hyperfine splittings
• Heavy-light semileptonic decays in staggered chiral perturbation theory
• B→D*lνandB→Dlνform factors in staggered chiral perturbation theory
• Staggered chiral perturbation theory for heavy-light mesons
• Hamiltonian formulation of Wilson's lattice gauge theories