Octet baryon isovector charges from $N_f=2+1$ lattice QCD

Abstract

We determine the axial, scalar and tensor isovector charges of the nucleon, sigma and cascade baryons as well as the difference between the up and down quark masses, $m_u-m_d$. We employ gauge ensembles with $N_f=2+1$ non-perturbatively improved Wilson fermions at six values of the lattice spacing in the range $a\approx (0.039-0.098)$fm, generated by the Coordinated Lattice Simulations (CLS) effort. The pion mass $M_{\pi }$ ranges from around $430$MeV down to a near physical value of $130$MeV and the linear spatial lattice extent $L$ varies from $6.5M_{\pi }^{-1}$ to $3.0M_{\pi }^{-1}$, where $L{M}_{\pi }\ge 4$ for the majority of the ensembles. This allows us to perform a controlled interpolation/extrapolation of the charges to the physical mass point in the infinite volume and continuum limit. Investigating SU(3) flavour symmetry, we find moderate symmetry breaking effects for the axial charges at the physical quark mass point, while no significant effects are found for the other charges within current uncertainties.

47 pages, 47 figures: v2: minor typos corrected, references added, some figures updated; v3: updated Fig. 11, version published in PRD

References in corpus (35)

• FLAG Review 2021
• Ab initio calculation of the neutron-proton mass difference
• A first unbiased global determination of polarized PDFs and their uncertainties
• Simulation of QCD with N_f=2+1 flavors of non-perturbatively improved Wilson fermions
• Critical slowing down and error analysis in lattice QCD simulations
• Global Analysis of Helicity Parton Densities and Their Uncertainties
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• QCD Analysis of the Polarized World Data
• The nucleon spin and momentum decomposition using lattice QCD simulations
• The strong coupling from a nonperturbative determination of the $\Lambda$ parameter in three-flavor QCD
• Precision Nucleon Charges and Form Factors Using 2+1-flavor Lattice QCD
• Deflation acceleration of lattice QCD simulations
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• First Calculation of Hyperon Axial Couplings from Lattice QCD
• Nucleon axial, scalar, and tensor charges using lattice QCD at the physical pion mass
• Pion-induced radiative corrections to neutron beta-decay
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• Study of CP violation in hyperon decays at Super Charm-Tau Factories with a polarized electron beam
• Scale setting and the light baryon spectrum in $N_f=2+1$ QCD with Wilson fermions
• Updated QCD global analysis of single transverse-spin asymmetries I: Extracting $\tilde{H}$, and the role of the Soffer bound and lattice QCD
• First moments of the nucleon transverse quark spin densities using lattice QCD
• Axial charges of octet and decuplet baryons
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• A lattice determination of Sigma - Lambda mixing
• Nonperturbative Renormalization in Lattice QCD with three Flavors of Clover Fermions: Using Periodic and Open Boundary Conditions
• Lattice QCD Determination of $g_A$
• Mellin moments of spin dependent and independent PDFs of the pion and rho meson
• Leading order mesonic and baryonic SU(3) low energy constants from $N_f=3$ lattice QCD
• Nucleon isovector couplings in Nf = 2 + 1 lattice QCD at the physical point
• Improved Semileptonic Form Factor Calculations in Lattice QCD
• Lattice results for the longitudinal spin structure and color forces on quarks in a nucleon
• Nucleon mass and isovector couplings in 2+1-flavor dynamical domain-wall lattice QCD near physical mass
• Moments $n=2$ and $n=3$ of the Wilson twist-two operators at three loops in the RI${}^{\prime }$/SMOM scheme
• Nucleon isovector scalar charge from overlap fermions
• Investigations on the flavor-dependent axial charges of the octet baryons

Cited by in corpus (11)

• FLAG Review 2024
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• Weak interaction axial form factors of the octet baryons in nuclear medium
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Electroweak form factors of baryons in dense nuclear matter
• Valence Quark PDFs of the Proton from Two-Current Correlations in Lattice QCD
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• The axial-vector form factor of the nucleon in a finite box
• Measurements of the Absolute Branching Fraction of the Semileptonic Decay ${\mathbf{\Xi }}^{-}\to \mathbf{\Lambda }{\mathbf{e}}^{-}{\bar{\nu }}_{\mathbf{e}}$ and the Axial Charge of the ${\mathbf{\Xi }}^{-}$