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Electric Dipole Moment Results from lattice QCD

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arxiv 1711.04730 v1 pith:T6LIHRG2 submitted 2017-11-13 hep-lat

Electric Dipole Moment Results from lattice QCD

classification hep-lat
keywords dipoleelectricgaugeactionfieldsflowgradientimproved
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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  1. The Neutron Electric Dipole Moment from Lattice QCD using a Background Electric Field

    hep-lat 2026-07 conditional novelty 7.0

    Using background electric fields, local topological charge, and non-Hermitian GEVP, lattice QCD yields dn = -0.0050(4)stat(8)sys θ-bar e fm at the physical point.