%0 Generic %1 Chen2015Leptonic %A Chen, Ying %A Alexandru, Andrei %A Draper, Terrence %A Liu, Keh-Fei %A Liu, Zhaofeng %A Yang, Yi-Bo %D 2015 %K rho, signal %T Leptonic Decay Constant of \$\rho\$ at Physical Point %U http://arxiv.org/abs/1507.02541 %X The \$\rho\$ meson leptonic decay constant at the physical pion mass is calculated with chiral fermions. Overlap valence quarks are used on the \$L^3T=48^396\$ \$N\_f=2+1\$ domain-wall fermion configurations with light sea quarks at the physical point and the spatial extension of 5.5 fm. The mass of the vector meson \$\rho\$ is determined to be \$m\_\rho=775.96.0\pm 1.8\$ MeV, and the valence \$\rho\$ sigma term is extracted to be \$\sigma\_\pi \rho^(val)=9.82(6)\$ MeV from Feynmann-Hellman theorem. By adopting a new method to reduce the noise of the wall-wall correlation functions of hadrons, we obtain the \$\rho\$ leptonic decay constant \$f\_\rho=208.55.50.9\$ MeV, which is in very good agreement with the experimental value \$f\_\rho=209.4\pm 1.5\$ MeV derived from the \$\tau\$ decay \$\tau\nu\_\tau\$.

@misc{Chen2015Leptonic, abstract = {The \$\rho\$ meson leptonic decay constant at the physical pion mass is calculated with chiral fermions. Overlap valence quarks are used on the \$L^3\times T=48^3\times 96\$ \$N\_f=2+1\$ domain-wall fermion configurations with light sea quarks at the physical point and the spatial extension of 5.5 fm. The mass of the vector meson \$\rho\$ is determined to be \$m\_\rho=775.9\pm 6.0\pm 1.8\$ MeV, and the valence \$\pi \rho\$ sigma term is extracted to be \$\sigma\_{\pi \rho}^{(\rm val)}=9.82(6)\$ MeV from Feynmann-Hellman theorem. By adopting a new method to reduce the noise of the wall-wall correlation functions of hadrons, we obtain the \$\rho\$ leptonic decay constant \$f\_\rho=208.5\pm 5.5\pm 0.9\$ MeV, which is in very good agreement with the experimental value \$f\_\rho=209.4\pm 1.5\$ MeV derived from the \$\tau\$ decay \$\tau\rightarrow \rho \nu\_\tau\$.}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Chen, Ying and Alexandru, Andrei and Draper, Terrence and Liu, Keh-Fei and Liu, Zhaofeng and Yang, Yi-Bo}, biburl = {https://www.bibsonomy.org/bibtex/20a304f8646156733384a800449963b29/cmcneile}, citeulike-article-id = {14404055}, citeulike-linkout-0 = {http://arxiv.org/abs/1507.02541}, citeulike-linkout-1 = {http://arxiv.org/pdf/1507.02541}, day = 9, eprint = {1507.02541}, interhash = {5bf50c6f58b28a3010867ceedf7a09f6}, intrahash = {0a304f8646156733384a800449963b29}, keywords = {rho, signal}, month = jul, posted-at = {2017-08-01 10:09:47}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Leptonic Decay Constant of \$\rho\$ at Physical Point}}, url = {http://arxiv.org/abs/1507.02541}, year = 2015 }