2005/07/31 by Hovhannes R. Grigoryan, A. W. Thomas, Anthony W. Thomas · 5 citations
Mathematics · Physics and Astronomy · #Extrapolation #High-Energy Particle Collisions Research #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Vector meson #hep-lat
paper · pdf · doi:10.1016/j.physletb.2005.11.011
published in Physics Letters B 632(5-6), 657-662 (Elsevier BV) · 11 pages, REVTeX, minor revision in text
arxiv created 2005/10/18 · openalex publication_date 2005/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive the mixed as well as unmixed lattice heavy meson chiral Lagrangian up to order O(a2), with Wilson and Ginsparg–Wilson fermions. We consider two flavor partially quenched QCD and calculate vector meson mass corrections up to order O(a2), including the corrections associated with the violation of rotational O(4) symmetry down to the hypercubic group. Our calculations also include the one-loop, phenomenological contribution from the ρ→ππ decay channel. The final result is a chiral-continuum extrapolation formula with model dependent coefficients from which one can recover the physical ρ meson mass from the large amount of current lattice data. As a verification of our result, the chiral-continuum extrapolation formula is compared with that used in numerical simulations.