Electric Dipole Moment Results from lattice QCD

Abstract

We utilize the gradient flow to define and calculate electric dipole moments induced by the strong QCD $\theta$-term and the dimension-6 Weinberg operator. The gradient flow is a promising tool to simplify the renormalization pattern of local operators. The results of the nucleon electric dipole moments are calculated on PACS-CS gauge fields (available from the ILDG) using $N_f=2+1$, of discrete size $32^3\times 64$ and spacing $a\simeq 0.09$ fm. These gauge fields use a renormalization-group improved gauge action and a non-perturbatively $O(a)$ improved clover quark action at $\beta =1.90$, with $c_{SW}=1.715$. The calculation is performed at pion masses of $m_{\pi }\simeq 411,701$ MeV.

8 pages, 13 figures, presented at the 35th International Symposium on Lattice Field Theory (Lattice 2017)

References in corpus (6)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}$Hg
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• The Electric Dipole Form Factor of the Nucleon in Chiral Perturbation Theory to Sub-leading Order
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations

Cited by in corpus (10)

• The phenomenology of electric dipole moments in models of scalar leptoquarks
• Opportunities for Fundamental Physics Research with Radioactive Molecules
• The Role of Lattice QCD in Searches for Violations of Fundamental Symmetries and Signals for New Physics
• Sum rules for CP-violating operators of Weinberg type
• Short flow-time coefficients of CP-violating operators
• Non-perturbative renormalization scheme for the CP-odd three-gluon operator
• Nuclear electric dipole moment in the cluster model with a triton: ${}^7$Li and ${}^{11}$B
• Bounds on CP-violating Higgs-gluon interactions: the case of vanishing light-quark Yukawa couplings
• Lattice QCD and the Neutron Electric Dipole Moment
• One-loop matching for quark dipole operators in a gradient-flow scheme