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Title: Mixed Meson Mass for Domain-Wall Valence and Staggered Sea Fermions

Abstract

Mixed action lattice calculations allow for an additive lattice spacing dependent mass renormalization of mesons composed of one sea and one valence quark, regardless of the type of fermion discretization methods used in the valence and sea sectors. The value of the mass renormalization depends upon the lattice actions used. This mixed meson mass shift is the most important lattice artifact to determine for mixed action calculations: because it modifies the pion mass, it plays a central role in the low energy dynamics of all hadronic correlation functions. We determine the leading order and next to leading order additive mass renormalization of valence-sea mesons for a mixed lattice action with domain-wall valence fermions and staggered sea fermions. We find that on the asqtad improved coarse MILC lattices, the leading order additive mass renormalization for the mixed mesons is Δ(am)^2 LO = 0.0409(11) which corresponds to a^2 Δ_Mix = (319 MeV)^2± (53 MeV)^2 for a = 0.125 fm. We also find significant next to leading order contributions which reduce the mass renormalization by a significant amount, such that for 0 < am_π ≤ 0.22 the mixed meson mass renormalization is well approximated by Δ(am)^2 = 0.0340 (23) or a^2δ_Mix = (290more » MeV)^2 ± (76 MeV)^2. The full next-to-leading order analysis is presented in the text.« less

Authors:
;
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA
Sponsoring Org.:
USDOE - Office of Energy Research (ER)
OSTI Identifier:
902780
Report Number(s):
JLAB-THY-07-638; DOE/OR/23177-0038
TRN: US0702991
DOE Contract Number:  
AC05-06OR23177
Resource Type:
Journal Article
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ADDITIVES; CORRELATION FUNCTIONS; FERMIONS; MASS RENORMALIZATION; MESONS; PIONS; SEAS; VALENCE

Citation Formats

Konstantinos Orginos, and Andre Walker-Loud. Mixed Meson Mass for Domain-Wall Valence and Staggered Sea Fermions. United States: N. p., 2007. Web.
Konstantinos Orginos, & Andre Walker-Loud. Mixed Meson Mass for Domain-Wall Valence and Staggered Sea Fermions. United States.
Konstantinos Orginos, and Andre Walker-Loud. Tue . "Mixed Meson Mass for Domain-Wall Valence and Staggered Sea Fermions". United States. doi:. https://www.osti.gov/servlets/purl/902780.
@article{osti_902780,
title = {Mixed Meson Mass for Domain-Wall Valence and Staggered Sea Fermions},
author = {Konstantinos Orginos and Andre Walker-Loud},
abstractNote = {Mixed action lattice calculations allow for an additive lattice spacing dependent mass renormalization of mesons composed of one sea and one valence quark, regardless of the type of fermion discretization methods used in the valence and sea sectors. The value of the mass renormalization depends upon the lattice actions used. This mixed meson mass shift is the most important lattice artifact to determine for mixed action calculations: because it modifies the pion mass, it plays a central role in the low energy dynamics of all hadronic correlation functions. We determine the leading order and next to leading order additive mass renormalization of valence-sea mesons for a mixed lattice action with domain-wall valence fermions and staggered sea fermions. We find that on the asqtad improved coarse MILC lattices, the leading order additive mass renormalization for the mixed mesons is Δ(am)^2 LO = 0.0409(11) which corresponds to a^2 Δ_Mix = (319 MeV)^2± (53 MeV)^2 for a = 0.125 fm. We also find significant next to leading order contributions which reduce the mass renormalization by a significant amount, such that for 0 < am_π ≤ 0.22 the mixed meson mass renormalization is well approximated by Δ(am)^2 = 0.0340 (23) or a^2δ_Mix = (290 MeV)^2 ± (76 MeV)^2. The full next-to-leading order analysis is presented in the text.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}