Staggered chiral perturbation theory for heavy-light mesons

2005/10/31 by C. Aubin, Christopher Aubin, C. Bernard +1 · 3 citations
Physics and Astronomy · #Chiral perturbation theory #High-Energy Particle Collisions Research #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.73.014515

published as Phys.Rev. D73 (2006) 014515 · 48 pages, 6 figures. v3: Some clarifying comments/caveats added; typos fixed. Corresponds to published version

arxiv created 2006/01/25 · openalex publication_date 2006/01/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We incorporate heavy-light mesons into staggered chiral perturbation theory (S\ensuremathχPT), working to leading order in 1/m_Q, where m_Q is the heavy-quark mass. At first nontrivial order in the chiral expansion, staggered taste violations affect the chiral logarithms for heavy-light quantities only through the light-meson propagators in loops. There are also new analytic contributions coming from additional terms in the Lagrangian involving heavy-light and light mesons. Using this heavy-light S\ensuremathχPT, we perform the one-loop calculation of the B (or D) meson leptonic decay constant in the partially quenched and full QCD cases. In our treatment, we assume the validity both of the ``fourth root trick'' to reduce four staggered tastes to one, and of the S\ensuremathχPT prescription to represent this trick by insertions of factors of 1/4 for each sea-quark loop.

Citations

• Chiral logs with staggered fermions
• Staggered versus overlap fermions: A study in the Schwinger model withNf=0,1,2
• Heavy meson chiral perturbation theory in finite volume
• Chiral perturbation theory for staggered sea quarks and Ginsparg-Wilson valence quarks
• Application of heavy-quark effective theory to lattice QCD: Power corrections
• Charmed-Meson Decay Constants in Three-Flavor Lattice QCD
• Semileptonic Decays ofDMesons in Three-Flavor Lattice QCD

Cited by

• Chiral perturbation theory for all-staggered heavy-light mesons
• Bs→Ds/B→Dsemileptonic form-factor ratios and their application toBR(Bs0→μ+μ−)
• Highly improved staggered quarks on the lattice with applications to charm physics