Flavor diagonal tensor charges of the nucleon from 2+1+1 flavor lattice QCD

Abstract

We present state-of-the-art results for the matrix elements of flavor diagonal tensor operators within the nucleon state. The calculation of the dominant connected contribution is done using eleven ensembles of gauge configurations generated by the MILC Collaboration using the highly improved staggered quark (HISQ) action with 2+1+1 dynamical flavors. The calculation of the disconnected contributions is done using seven (six) ensembles for the strange (light) quarks. These high-statistics simulations allowed us to address various systematic uncertainties. A simultaneous fit in the lattice spacing and the light-quark mass is used to extract the tensor charges in the continuum limit and at $M_{\pi }=135$ MeV. Results for the proton in the $\overline{MS}$ scheme at 2~GeV are: $g_T^u=0.784(28)(10)$, $g_T^d=-0.204(11)(10)$ and $g_T^s=-0.0027(16)$. Implications of these results for constraining the quark electric dipole moments and their contributions to the neutron electric dipole moment are discussed.

6 pages 3 figures. Final published version

References in corpus (5)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• From quarks to nucleons in dark matter direct detection
• The nucleon spin and momentum decomposition using lattice QCD simulations
• Singlet vs Nonsinglet Perturbative Renormalization of Fermion Bilinears

Cited by in corpus (68)

• FLAG Review 2019
• FLAG Review 2021
• Coherent elastic neutrino-nucleus scattering: EFT analysis and nuclear responses
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• The phenomenology of electric dipole moments in models of scalar leptoquarks
• FLAG Review 2024
• Towards grounding nuclear physics in QCD
• Nuclear structure factors for general spin-independent WIMP-nucleus scattering
• Nucleon Tomography and Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• Nucleon structure from basis light-front quantization
• Hadrons and Nuclei
• Proton structure from a light-front Hamiltonian
• Nuclear matrix elements from lattice QCD for electroweak and beyond-Standard-Model processes
• $\mathbf{C}\mathbf{P}$ violation in Higgs-gauge interactions: from tabletop experiments to the LHC
• Nucleon Helicity Generalized Parton Distribution at Physical Pion Mass from Lattice QCD
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Transverse spin effects in hard semi-inclusive collisions
• Flavor decomposition of the nucleon unpolarized, helicity and transversity parton distribution functions from lattice QCD simulations
• Anatomy of ${\epsilon }^{\prime }/\epsilon$ beyond the Standard Model
• Nucleon matrix elements of the antisymmetric quark tensor
• Non-Perturbative Effects in $\mu \to e\gamma$
• Contribution of the QCD $\Theta$-term to nucleon electric dipole moment
• A low-energy perspective on the minimal left-right symmetric model
• Sum rules for CP-violating operators of Weinberg type
• Transversity distributions and tensor charges of the nucleon: extraction from dihadron production and their universal nature
• Supernova Constraints on Dark Flavored Sectors
• First simultaneous global QCD analysis of dihadron fragmentation functions and transversity parton distribution functions
• From B-meson anomalies to Kaon physics with scalar leptoquarks
• Weinberg operator contribution to the nucleon electric dipole moment in the quark model
• Form Factors of the Nucleon Axial Current
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Time reversal violating Magnetic Quadrupole Moment in heavy deformed nuclei
• Electric dipole moment constraints on CP-violating light-quark Yukawas
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Global Constraints on Yukawa Operators in the Standard Model Effective Theory
• Nucleon axial form factor at large momentum transfers
• Renormalizable Models of Flavor-Specific Scalars
• Improved limits on lepton-flavor-violating decays of light pseudoscalars via spin-dependent $\mu \to e$ conversion in nuclei
• Effective theory tower for $\mu \to e$ conversion
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Electric dipole moment constraints on CP-violating heavy-quark Yukawas at next-to-leading order
• Excited states in nucleon structure calculations
• $CP$ asymmetry in the angular distributions of $\tau \to K_S\pi {\nu }_{\tau }$ decays -- II: general effective field theory analysis
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Constraining beyond the Standard Model nucleon isovector charges
• Nucleon Mass with Highly Improved Staggered Quarks
• Exploring the Flavor Symmetry Landscape
• Dressed Quark Tensor Vertex and Nucleon Tensor Charge
• Constraints on New Physics with Light Mediators and Generalized Neutrino Interactions via Coherent Elastic Neutrino Nucleus Scattering
• Thermal WIMPs and the Scale of New Physics: Global Fits of Dirac Dark Matter Effective Field Theories
• Electric dipole moments from colour-octet scalars
• Revisiting Theoretical Analysis of Electric Dipole Moment of ${}^{129}$Xe
• Neutron EDM constrains direct dark matter detection prospects
• On the extraction of the valence transversity distributions from SIDIS data
• Lattice QCD and the Neutron Electric Dipole Moment
• Nucleon Structure from Basis Light-Front Quantization : Status and Prospects
• Electric dipole moments of three-nucleon systems in the pionless effective field theory
• ALP contribution to the Strong CP problem
• CP violation in two-meson Tau decays induced by heavy new physics
• Tensor interaction in coherent elastic neutrino-nucleus scattering
• Updated Constraints from Electric Dipole Moments in the MSSM with R-Parity Violation
• Present and future prospects for lattice QCD calculations of matrix elements for nEDM
• Effective description of Nelson-Barr models and the theta parameter
• New Physics Searches at Kaon and Hyperon Factories
• Isovector and flavor diagonal charges of the nucleon from 2+1+1 flavor QCD
• Contribution of the Weinberg-type Operator to atomic and nuclear electric dipole moments
• Uncovering an Axion Mechanism with the EDM Portfolio