Nucleon electric dipole moment from the θ term with lattice chiral fermions

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Abstract

We calculate the nucleon electric dipole moment (EDM) from the θ term with overlap fermions on three domain wall lattices with different sea pion masses at lattice spacing 0.11 fm. Due to the chiral symmetry conserved by the overlap fermions, we have well-defined topological charge and chiral limit for the EDM. Thus, the chiral extrapolation can be carried out reliably at nonzero lattice spacings. We use three to four different partially quenched valence pion masses for each sea pion mass and find that the EDM dependence on the valence and sea pion masses behaves oppositely, which can be described by partially quenched chiral perturbation theory. With the help of the cluster decomposition error reduction technique, we determine the neutron and proton EDM at the physical pion mass to be dn=-0.00148(14)(31)θ¯ e·fm and dp=0.0038(11)(8)θ¯ e·fm. This work is a clear demonstration of the advantages of using chiral fermions in the nucleon EDM calculation and paves the road to future precise studies of the strong CP violation effects.

Original languageEnglish
Article number094512
JournalPhysical Review D
Volume108
Issue number9
DOIs
StatePublished - Nov 1 2023

Bibliographical note

Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP

Funding

J.\u2009L. is supported by Guangdong Major Project of Basic and Applied Basic Research under Grant No. 2020B0301030008, Science and Technology Program of Guangzhou under Grant No. 2019050001, and the Natural Science Foundation of China (NSFC) under Grant No. 12175073 and No. 12222503. T.\u2009D. and K.\u2009L. are supported in part by the Office of Science of the U.S. Department of Energy under Grant No. DE-SC0013065 (T.\u2009D. and K.\u2009L.) and No. DE-AC05-06OR23177 (K.\u2009L.), which is within the framework of the TMD Topical Collaboration. Y.\u2009Y. is supported in part by the Strategic Priority Research Program of Chinese Academy of Sciences, Grants No. XDB34030303 and No. XDPB15, NSFC under Grant No. 12293062, and also a NSFC-DFG joint grant under Grant No. 12061131006 and SCHA 458/22. G.\u2009W. is supported by the French National Research Agency under the Contract No. ANR-20-CE31-0016. A.\u2009A. is supported in part by U.S. DOE Grant No. DE-FG02-95ER40907. This research used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory, which is supported by the Office of Science of the U.S. Department of Energy under Contract No. DE-AC05-00OR22725. This work used Stampede time under the Extreme Science and Engineering Discovery Environment (XSEDE), which is supported by National Science Foundation Grant No. ACI-1053575. We also used resources on Frontera at Texas Advanced Computing Center (TACC). The analysis work is partially done on the supercomputing system in the Southern Nuclear Science Computing Center (SNSC). We also thank the National Energy Research Scientific Computing Center (NERSC) for providing HPC resources that have contributed to the research results reported within this paper. We acknowledge the facilities of the USQCD Collaboration used for this research in part, which are funded by the Office of Science of the U.S. Department of Energy.

FundersFunder number
National Science Foundation Office of International Science and Engineering
U.S. Department of Energy Oak Ridge National Laboratory U.S. Department of Energy National Science Foundation National Energy Research Scientific Computing CenterDE-AC05-00OR22725, DE-FG02-95ER40907, DE-SC0013065, DE-AC05-06OR23177
NSFC-DFG12061131006, SCHA 458/22
Guangzhou Municipal Science and Technology Program key projects2019050001
U.S. Department of Energy Chinese Academy of Sciences Guangzhou Municipal Science and Technology Project Oak Ridge National Laboratory Extreme Science and Engineering Discovery Environment National Science Foundation National Energy Research Scientific Computing Center National Natural Science Foundation of China1053575
French National Research AgencyANR-20-CE31-0016
National Natural Science Foundation of China (NSFC)12175073, 12222503
Chinese Academy of SciencesXDB34030303, XDPB15, 12293062
Guangdong Major Project of Basic and Applied Basic Research2020B0301030008

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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