Lattice calculation of electric dipole moments and form factors of the nucleon
- Univ. of Connecticut, Storrs, CT (United States). Physics Dept.
- Kyoto Univ. (Japan). Center for Gravitational Physics. Yukawa Inst. for Theoretical Physics; Univ. of Tsukuba (Japan). Center for Computational Sciences
- Univ. of Connecticut, Storrs, CT (United States). Physics Dept.; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center
- Brookhaven National Lab. (BNL), Upton, NY (United States). Physics Dept. RIKEN/BNL Research Center
- Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; Stony Brook Univ., NY (United States). Dept. of Physics and Astronomy; Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN/BNL Research Center
Here, we analyze commonly used expressions for computing the nucleon electric dipole form factors (EDFF) F3 and moments (EDM) on a lattice and find that they lead to spurious contributions from the Pauli form factor F2 due to inadequate definition of these form factors when parity mixing of lattice nucleon fields is involved. Using chirally symmetric domain wall fermions, we calculate the proton and the neutron EDFF induced by the CP-violating quark chromo-EDM interaction using the corrected expression. In addition, we calculate the electric dipole moment of the neutron using a background electric field that respects time translation invariance and boundary conditions, and we find that it decidedly agrees with the new formula but not the old formula for F3. Finally, we analyze some selected lattice results for the nucleon EDM and observe that after the correction is applied, they either agree with zero or are substantially reduced in magnitude, thus reconciling their difference from phenomenological estimates of the nucleon EDM.
- Research Organization:
- Univ. of Connecticut, Storrs, CT (United States); Kyoto Univ. (Japan); Brookhaven National Laboratory (BNL), Upton, NY (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan); Japanese Ministry of Education, Sciences and Technology, Sports and Culture (MEXT)
- Grant/Contract Number:
- FG02-92ER40716; AC02-98CH10886; SC0012704; AC05-06OR23177; JP16H03978; JP17H02906; 26400261; NSF PHY11-25915
- OSTI ID:
- 1374994
- Alternate ID(s):
- OSTI ID: 1369096; OSTI ID: 1413954; OSTI ID: 1425169
- Report Number(s):
- JLAB-THY-17-2449; DOE/OR/23177-4122; arXiv:1701.07792; RBRC-1226; BNL-114795-2017-JA; BNL-203306-2018-JAAM
- Journal Information:
- Physical Review D, Vol. 96, Issue 1; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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