Non-lattice determinations of the light quark masses

Abstract

The sum rule determinations of m_s and the chiral perturbation theory results for the ratios m_u/m_d and m_s/m_d are reviewed and a method for the extrapolation of lattice data to the physical values of m_u and m_d is outlined.

Talk given at Lattice 2000, Bangalore, India, Aug. 2000, 8 pp

References in corpus (9)

• Renormalization of chiral perturbation theory to order p^6
• The pi pi S-wave scattering lengths
• Two-point Functions at Two Loops in Three Flavour Chiral Perturbation Theory
• Strange Quark Mass Determination from Cabibbo-Suppressed Tau Decays
• $K_{\ell 4}$ Form-Factors and $\pi$-$\pi$ Scattering
• Low Energy Constants from Kl4 Form-Factors
• Light Quark Masses 99
• Vacuum fluctuations of \bar{q}q and values of low-energy constants
• I=2 Pion Scattering Length with Wilson Fermions

Cited by in corpus (36)

• Electric dipole moments as probes of new physics
• ππscattering
• Dynamical Twisted Mass Fermions with Light Quarks: Simulation and Analysis Details
• Fermion Masses and Mixing in Extended Technicolor Models
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Precision test of a Fermion mass texture
• Sizeable θ_13 from the Charged Lepton Sector in SU(5), (Tri-)Bimaximal Neutrino Mixing and Dirac CP Violation
• Chiral-Soliton Predictions for Exotic Baryons
• The decay pi0 to gamma gamma to next to leading order in Chiral Perturbation Theory
• Decay constants, light quark masses and quark mass bounds from light quark pseudoscalar sum rules
• Strange quark mass from e+e- revisited and present status of light quark masses
• A SUSY SU(5)xT' Unified Model of Flavour with large θ_{13}
• Determination of <2pi_{I=2}|Q_{7,8}|K0> in the Chiral Limit
• Strange Quark Mass from Pseudoscalar Sum Rule with O(alpha_s^4) Accuracy
• QCD Vacuum and Axions: What's Happening?
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Reconciling large CP-violating phases with bounds on the electric dipole moments in the MSSM
• Isospin breaking in octet baryon mass splittings
• A Fresh Look into the Neutron EDM and Magnetic Susceptibility
• Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity
• Charm Quark Mass
• Numerical simulations with two flavours of twisted-mass Wilson quarks and DBW2 gauge action
• Partially quenched chiral perturbation theory and numerical simulations
• Real and Imaginary Elements of Fermion Mass Matrices
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons
• Quark mass dependence of pseudoscalar masses and decay constants on a lattice
• M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory
• Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD
• In-medium Σ^0-ΛMixing in QCD Sum Rules
• The Fundamental Constants in Physics and their Time Dependence
• Strong Interactions at Low Energy
• Baryons in the Field Correlator Method: Effects of the Running Strong Coupling
• Bounds on the Light Quark Masses: the scalar channel revisited
• Scaling and ChPT Description of Pions from N_f=2 twisted mass QCD
• Quark Mass Ratios in ChPT with the Difference of Quark Condensates Considered
• ChPT description of the pion mass and decay constant from N_f=2 twisted mass QCD