Up Quark Mass in Lattice QCD with Three Light Dynamical Quarks and Implications for StrongInvariance
- 15 January 2003
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 90 (2) , 021601
- https://doi.org/10.1103/physrevlett.90.021601
Abstract
A standing mystery in the standard model is the unnatural smallness of the strong CP violating phase. A massless up quark has long been proposed as one potential solution. A lattice calculation of the constants of the chiral Lagrangian essential for the determination of the up quark mass, 2alpha(8)-alpha(5), is presented. We find 2alpha(8)-alpha(5)=0.29+/-0.18, which corresponds to m(u)/m(d)=0.410+/-0.036. This is the first such calculation using a physical number of dynamical light quarks, N(f)=3.Keywords
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This publication has 15 references indexed in Scilit:
- Flavor symmetry and the static potential with hypercubic blockingPhysical Review D, 2001
- Effective chiral Lagrangians and lattice QCDNuclear Physics B, 2000
- Physical results from unphysical simulationsPhysical Review D, 2000
- Testing m u = 0 on the latticeJournal of High Energy Physics, 1999
- Enhanced chiral logarithms in partially quenched QCDPhysical Review D, 1997
- Partially quenched gauge theories and an application to staggered fermionsPhysical Review D, 1994
- Chiral perturbation theory for the quenched approximation of QCDPhysical Review D, 1992
- Hybrid-molecular-dynamics algorithms for the numerical simulation of quantum chromodynamicsPhysical Review D, 1987
- Current-Mass Ratios of the Light QuarksPhysical Review Letters, 1986
- Chiral perturbation theory: Expansions in the mass of the strange quarkNuclear Physics B, 1985