Neutron electric dipole moment using lattice QCD simulations at the physical point

Abstract

We extract the neutron electric dipole moment $|{\vec{d}}_N|$ within the lattice QCD formalism. We analyse one ensemble of $N_f=2+1+1$ twisted mass clover-improved fermions with lattice spacing of $a\simeq 0.08\mathrm{fm}$ and physical values of the quark masses corresponding to a pion mass $m_{\pi }\simeq 139\mathrm{MeV}$. The neutron electric dipole moment is extracted by computing the $CP$-odd electromagnetic form factor $F_3(Q^2\to 0)$ through small $\theta$-expansion of the action. This approach requires the calculation of the topological charge for which we employ a fermionic definition by means of spectral projectors while we also provide a comparison with the gluonic definition accompanied by the gradient flow. We show that using the topological charge from spectral projectors leads to absolute errors that are more than two times smaller than those provided when the field theoretic definition is employed. We find a value of $|{\vec{d}}_N|=0.0009(24)\theta e\cdot \mathrm{fm}$ when using the fermionic definition, which is statistically consistent with zero.

arXiv comment23 pages and 10 figures

References in corpus (45)

• An Improved Experimental Limit on the Electric Dipole Moment of the Neutron
• Electric dipole moments as probes of new physics
• Properties and uses of the Wilson flow in lattice QCD
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Measurement of the permanent electric dipole moment of the neutron
• Chirally improving Wilson fermions - I. O(a) improvement
• Nonperturbative Renormalisation of Composite Operators in Lattice QCD
• Twisted-mass lattice QCD with mass non-degenerate quarks
• The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study
• Complete flavor decomposition of the spin and momentum fraction of the proton using lattice QCD simulations at physical pion mass
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Model independent determination of the axial mass parameter in quasielastic neutrino-nucleon scattering
• Proton and neutron electromagnetic form factors from lattice QCD
• The Effective Chiral Lagrangian From Dimension-Six Parity and Time-Reversal Violation
• Nucleon axial, tensor and scalar charges and $\sigma$-terms in lattice QCD
• Simulating twisted mass fermions at physical light, strange and charm quark masses
• Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow
• The nucleon electromagnetic form factors from Lattice QCD
• Topological effects in QCD and the problem of short-distance singularities
• New insights into the neutron electric dipole moment
• The electric dipole moment of the neutron from 2+1 flavor lattice QCD
• Universality of the topological susceptibility in the SU(3) gauge theory
• Moments of nucleon generalized parton distributions from lattice QCD simulations at physical pion mass
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
• The Nucleon Electric Dipole Form Factor From Dimension-Six Time-Reversal Violation
• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• Baryon electric dipole moments from strong CP violation
• The electric dipole moment of the neutron in chiral perturbation theory
• Renormalization constants of local operators for Wilson type improved fermions
• Renormalization constants for 2-twist operators in twisted mass QCD
• The electric dipole form factor of the nucleon
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• Variance Reduction and Cluster Decomposition
• A Fresh Look into the Neutron EDM and Magnetic Susceptibility
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Model-independent determination of the nucleon charge radius from lattice QCD
• Reply to Comment on ``An Improved Experimental Limit on the Electric Dipole Moment of the Neutron''
• The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta
• Neutron Electric Dipole Moment on the Lattice: a Theoretical Reappraisal
• The Neutron Electric Dipole Moment in the Instanton Vacuum: Quenched Versus Unquenched Simulations
• Topology via Spectral Projectors with Staggered Fermions
• Renormalization of the vacuum angle in quantum mechanics, Berry phase and continuous measurements
• Progress in the Nucleon Electric Dipole Moment Calculations in Lattice QCD

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