Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD

Abstract

We determine the nucleon axial, scalar and tensor charges within lattice Quantum Chromodynamics including all contributions from valence and sea quarks. We analyze three gauge ensembles simulated within the twisted mass formulation at approximately physical value of the pion mass. Two of these ensembles are simulated with two dynamical light quarks and lattice spacing $a=0.094$~fm and the third with $a=0.08$~fm includes in addition the strange and charm quarks in the sea. After comparing the results among these three ensembles, we quote as final values our most accurate analysis using the latter ensemble. For the nucleon isovector axial charge we find $1.286(23)$ in agreement with the experimental value. We provide the flavor decomposition of the intrinsic spin $\frac{1}{2}\Delta {\Sigma }^q$ carried by quarks in the nucleon obtaining for the up, down, strange and charm quarks $\frac{1}{2}\Delta {\Sigma }^u=0.431(8)$, $\frac{1}{2}\Delta {\Sigma }^d=-0.212(8)$, $\frac{1}{2}\Delta {\Sigma }^s=-0.023(4)$ and $\frac{1}{2}\Delta {\Sigma }^c=-0.005(2)$, respectively. The corresponding values of the tensor and scalar charges for each quark flavor are also evaluated providing valuable input for experimental searches for beyond the standard model physics. In addition, we extract the nucleon $\sigma$-terms and find for the light quark content ${\sigma }_{\pi N}=41.6(3.8)$~MeV and for the strange ${\sigma }_s=45.6(6.2)$~MeV. The y-parameter that is used in phenomenological studies we find $y=0.078(7)$.

Expanded version as accepted in Phys. Rev. D.20 pages and 20 figures

References in corpus (18)

• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Ab initio calculation of the neutron-proton mass difference
• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• A first unbiased global determination of polarized PDFs and their uncertainties
• Measurement of the Weak Axial-Vector Coupling Constant in the Decay of Free Neutrons Using a Pulsed Cold Neutron Beam
• Search of Neutrino Magnetic Moments with a High-Purity Germanium Detector at the Kuo-Sheng Nuclear Power Station
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Analyses of pion-nucleon elastic scattering amplitudes up to $O(p^4)$ in extended-on-mass-shell subtraction scheme
• Precision Measurement of the Neutron Beta-Decay Asymmetry
• Extracting the sigma-term from low-energy pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Adaptive Aggregation-based Domain Decomposition Multigrid for Twisted Mass Fermions
• Probing new spin-independent interactions through precision spectroscopy in atoms with few electrons
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Two-loop renormalization of vector, axial-vector and tensor fermion bilinears on the lattice
• Nucleon tensor charges and electric dipole moments
• $N\pi$-state contamination in lattice calculations of the nucleon axial form factors
• The pion-nucleon $\sigma$ term from pionic atoms

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