The ρ-meson light-cone distribution amplitudes from lattice QCD

Journal of High Energy Physics

Michael Gruber¹  Wolfgang Söldner¹  Peter C. Bruns¹  Andreas Schäfer¹  Sara Collins¹  Paula Pérez-Rubio¹  Vladimir M. Braun¹  Fabian Hutzler¹  Meinulf Göckeler¹  Philipp Wein¹  John A. Gracey²  André Sternbeck³ 

[1] Institut für Theoretische Physik, Universität Regensburg;Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool;Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena;

关键词: Lattice field theory simulation;    Non-perturbative renormalization;   

DOI  :  10.1007/JHEP04(2017)082

来源: DOAJ

【 摘 要 】

Abstract We present the results of a lattice study of the normalization constants and second moments of the light-cone distribution amplitudes of longitudinally and transversely polarized ρ mesons. The calculation is performed using two flavors of dynamical clover fermions at lattice spacings between 0.060 fm and 0.081 fm, different lattice volumes up to m π L = 6.7 and pion masses down to m π = 150 MeV. Bare lattice results are renormalized non-perturbatively using a variant of the RI′-MOM scheme and converted to the M S ¯ $$ \overline{\mathrm{MS}} $$ scheme. The necessary conversion coefficients, which are not available in the literature, are calculated. The chiral extrapolation for the relevant decay constants is worked out in detail. We obtain for the ratio of the tensor and vector coupling constants f ρ T /f ρ  = 0.629(8) and the values of the second Gegenbauer moments a 2 ‖  = 0.132(27) and a 2 ⊥  = 0.101(22) at the scale μ = 2 GeV for the longitudinally and transversely polarized ρ mesons, respectively. The errors include the statistical uncertainty and estimates of the systematics arising from renormalization. Discretization errors cannot be estimated reliably and are not included. In this calculation the possibility of ρ → ππ decay at the smaller pion masses is not taken into account.

【 授权许可】

Unknown