6533b82bfe1ef96bd128cd66

RESEARCH PRODUCT

QCD isospin breaking in meson masses, decay constants and quark mass ratios

Johan BijnensP. TalaveraG. AmorosG. Amoros

subject

QuarkPhysicsQuantum chromodynamicsNuclear and High Energy PhysicsParticle physicsChiral perturbation theory[PHYS.HEXP] Physics [physics]/High Energy Physics - Experiment [hep-ex]MesonBasis (linear algebra)010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyFOS: Physical sciences01 natural sciencesPseudoscalarHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Isospin0103 physical sciences[PHYS.HEXP]Physics [physics]/High Energy Physics - Experiment [hep-ex]010306 general physicsMixing (physics)

description

The procedure to calculate masses and matrix-elements in the presence of mixing of the basis states is explained in detail. We then apply this procedure to the two-loop calculation in Chiral Perturbation Theory of pseudoscalar masses and decay constants including quark mass isospin breaking. These results are used to update our analysis of $K_{\ell4}$ done previously and obtain a value of $m_u/m_d$ in addition to values for the low-energy-constants $L_i^r$.

http://hal.in2p3.fr/in2p3-00018858