Lattice QCD spectroscopy for hadronic CP violation
Here, the interpretation of nuclear electric dipole moment (EDM) experiments is clouded by large theoretical uncertainties associated with nonperturbative matrix elements. In various beyondtheStandard Model scenarios nuclear and diamagnetic atomic EDMs are expected to be dominated by CPviolating pion–nucleon interactions that arise from quark chromoelectric dipole moments. The corresponding CPviolating pion–nucleon coupling strengths are, however, poorly known. In this work we propose a strategy to calculate these couplings by using spectroscopic lattice QCD techniques. Instead of directly calculating the pion–nucleon coupling constants, a challenging task, we use chiral symmetry relations that link the pion–nucleon couplings to nucleon sigma terms and mass splittings that are significantly easier to calculate. In this work, we show that these relations are reliable up to nexttonexttoleading order in the chiral expansion in both SU(2) and SU(3) chiral perturbation theory. We conclude with a brief discussion about practical details regarding the required lattice QCD calculations and the phenomenological impact of an improved understanding of CPviolating matrix elements.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[4]}
 Nikhef, Amsterdam (The Netherlands)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Shanghai Jiao Tong Univ., Shanghai (China)
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Publication Date:
 Report Number(s):
 LAUR1629007
Journal ID: ISSN 03702693; TRN: US1700976
 Grant/Contract Number:
 AC5206NA25396; AC0205CH11231
 Type:
 Published Article
 Journal Name:
 Physics Letters. Section B
 Additional Journal Information:
 Journal Volume: 766; Journal Issue: C; Journal ID: ISSN 03702693
 Publisher:
 Elsevier
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC21); USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics
 OSTI Identifier:
 1343159
 Alternate Identifier(s):
 OSTI ID: 1340974; OSTI ID: 1379771
de Vries, Jordy, Mereghetti, Emanuele, Seng, Chien Yeah, and WalkerLoud, Andre. Lattice QCD spectroscopy for hadronic CP violation. United States: N. p.,
Web. doi:10.1016/j.physletb.2017.01.017.
de Vries, Jordy, Mereghetti, Emanuele, Seng, Chien Yeah, & WalkerLoud, Andre. Lattice QCD spectroscopy for hadronic CP violation. United States. doi:10.1016/j.physletb.2017.01.017.
de Vries, Jordy, Mereghetti, Emanuele, Seng, Chien Yeah, and WalkerLoud, Andre. 2017.
"Lattice QCD spectroscopy for hadronic CP violation". United States.
doi:10.1016/j.physletb.2017.01.017.
@article{osti_1343159,
title = {Lattice QCD spectroscopy for hadronic CP violation},
author = {de Vries, Jordy and Mereghetti, Emanuele and Seng, Chien Yeah and WalkerLoud, Andre},
abstractNote = {Here, the interpretation of nuclear electric dipole moment (EDM) experiments is clouded by large theoretical uncertainties associated with nonperturbative matrix elements. In various beyondtheStandard Model scenarios nuclear and diamagnetic atomic EDMs are expected to be dominated by CPviolating pion–nucleon interactions that arise from quark chromoelectric dipole moments. The corresponding CPviolating pion–nucleon coupling strengths are, however, poorly known. In this work we propose a strategy to calculate these couplings by using spectroscopic lattice QCD techniques. Instead of directly calculating the pion–nucleon coupling constants, a challenging task, we use chiral symmetry relations that link the pion–nucleon couplings to nucleon sigma terms and mass splittings that are significantly easier to calculate. In this work, we show that these relations are reliable up to nexttonexttoleading order in the chiral expansion in both SU(2) and SU(3) chiral perturbation theory. We conclude with a brief discussion about practical details regarding the required lattice QCD calculations and the phenomenological impact of an improved understanding of CPviolating matrix elements.},
doi = {10.1016/j.physletb.2017.01.017},
journal = {Physics Letters. Section B},
number = C,
volume = 766,
place = {United States},
year = {2017},
month = {1}
}