1^{++} nonet singletoctet mixing angle, strange quark mass, and strange quark condensate
Abstract
Two strategies are taken into account to determine the f_{1}(1420)f_{1}(1285) mixing angle θ. (i) First, using the GellMannOkubo mass formula together with the K_{1}(1270)K_{1}(1400) mixing angle θ_{K1}=(34±13)° extracted from the data for B(B→K_{1}(1270)γ), B(B→K_{1}(1400)γ), B(τ→K_{1}(1270)ν_{τ}), and B(τ→K_{1}(1420)ν_{τ}), gave θ=(23_{23}^{+17})°. (ii) Second, from the study of the ratio for f_{1}(1285)→ϕγ and f_{1}(1285)→ρ^{0}γ branching fractions, we have a twofold solution θ=(19.4_{4.6}^{+4.5})° or (51.1_{4.6}^{+4.5})°. Combining these two analyses, we thus obtain θ=(19.4_{4.6}^{+4.5})°. We further compute the strange quark mass and strange quark condensate from the analysis of the f_{1}(1420)f_{1}(1285) mass difference QCD sum rule, where the operatorproductexpansion series is up to dimension six and to O(α_{s}^{3},m_{s}^{2}α_{s}^{2}) accuracy. Using the average of the recent lattice results and the θ value that we have obtained as inputs, we get <s̄s>/<ūu>=0.41±0.09.
 Publication:

Physical Review D
 Pub Date:
 August 2011
 DOI:
 10.1103/PhysRevD.84.034035
 arXiv:
 arXiv:1011.6113
 Bibcode:
 2011PhRvD..84c4035Y
 Keywords:

 12.38.Lg;
 12.38.Aw;
 14.40.Be;
 Other nonperturbative calculations;
 General properties of QCD;
 High Energy Physics  Phenomenology;
 High Energy Physics  Experiment;
 High Energy Physics  Lattice;
 Nuclear Theory
 EPrint:
 10 pages, 1 table, published version