Tanmoy Bhattacharya🇺🇸 · Vincenzo Cirigliano🇺🇸 · Saul Cohen🇺🇸 · Rajan Gupta🇺🇸 · Huey-Wen Lin🇺🇸 · Boram Yoon🇺🇸
We present results for the isovector axial, scalar and tensor charges gAu−d, gSu−d and gTu−d of the nucleon needed to probe the Standard Model and novel physics. The axial charge is a fundamental parameter describing the weak interactions of nucleons. The scalar and tensor charges probe novel interactions at the TeV scale in neutron and nuclear β-decays, and the flavor-diagonal tensor charges gTu, gTd and gTs are needed to quantify the contribution of the quark electric dipole moment (EDM) to the neutron EDM. The 9 ensembles, generated by the MILC Collaboration using the HISQ action with 2+1+1 dynamical flavors, span three lattice spacings a≈0.06,0.09 and 0.12 fm and light-quark masses corresponding to the pion masses Mπ≈135,225 and 315 MeV. High-statistics estimates on five ensembles using the all-mode-averaging method allow us to quantify all systematic uncertainties and perform a simultaneous extrapolation in the lattice spacing, lattice volume and light-quark masses for the connected contributions. Our final estimates, in the MS scheme at 2 GeV, of the isovector charges are gAu−d=1.195(33)(20), gSu−d=0.97(12)(6) and gTu−d=0.987(51)(20). The first error includes statistical and all systematic uncertainties except that due to the extrapolation Ansatz, which is given by the second error estimate. Combining our estimate for gSu−d with the difference of light quarks masses (md−mu)QCD=2.67(35) MeV given by FLAG, we obtain (MN−MP)QCD=2.59(49) MeV. Estimates of the connected part of the flavor-diagonal tensor charges of the proton are gTu=0.792(42) and gTd=−0.194(14). Combining our new estimates with precision low-energy experiments, we update constraints on novel scalar and tensor interactions, ϵS,T, at the TeV scale.
↳ hep-latnucl-thPRD(2016)·205 citations