Toward the determination of 𝐶⁢𝑃-odd pion-nucleon couplings

Bhattacharya, Shohini; Fuyuto, Kaori; Mereghetti, Emanuele; Richardson, Thomas R.

doi:10.1103/fhm8-flsg

Toward the determination of 𝐶⁢𝑃-odd pion-nucleon couplings

Journal Article · Wed Aug 20 00:00:00 EDT 2025 · Physical Review C

DOI:https://doi.org/10.1103/fhm8-flsg· OSTI ID:2589852

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Univ. of Connecticut, Storrs, CT (United States); Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

The nucleon matrix elements (NMEs) associated with quark chromomagnetic dipole moments (cMDMs) play a crucial role in determining the 𝐶𝑃-odd pion-nucleon couplings induced by quark chromoelectric dipole moments. In recent years, it has been argued that the NMEs of cMDMs can be related to the third moment of the nucleon's higher-twist (specifically, twist-3) parton distribution function (PDF) 𝑒⁡(𝑥), which can, in principle, be measured through dihadron production in semi-inclusive deep inelastic scattering processes. By applying the spin-flavor expansion to the cMDM operators in the large-𝑁_𝑐 limit, where 𝑁_𝑐 is the number of quark colors, we show that the NMEs receive contributions not only from the twist-3 PDF 𝑒⁡(𝑥) but also from an additional, previously neglected nucleon form factor. Incorporating constraints from the spin-flavor expansion, recent experimental data on 𝑒⁡(𝑥), as well as model calculations of 𝑒⁡(𝑥), we estimate the NMEs of the cMDM operators. Our analysis indicates that the NMEs are dominated by the nucleon form factors, and the cMDM contributions to pion-nucleon couplings can be comparable to those from the quark sigma terms.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: 89233218CNA000001; SC0023663

OSTI ID:: 2589852

Report Number(s):: LA-UR--25-23006; 10.1103/fhm8-flsg; 2469-9993

Journal Information:: Physical Review C, Journal Name: Physical Review C Journal Issue: 2 Vol. 112; ISSN 2469-9985; ISSN 2469-9993

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (70)

Unpolarized transverse momentum dependent parton distribution functions beyond leading twist in quark models Lorcé, C.; Pasquini, B.; Schweitzer, P. Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)103	journal	January 2015
Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics Crewther, R. J.; Di Vecchia, P.; Veneziano, G. Physics Letters B, Vol. 88, Issue 1-2 https://doi.org/10.1016/0370-2693(79)90128-X	journal	December 1979
Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics Crewther, R. J.; Di Vecchia, P.; Veneziano, G. Physics Letters B, Vol. 91, Issue 3-4, p. 487 https://doi.org/10.1016/0370-2693(80)91025-4	journal	April 1980
Baryon-pion couplings from large-Nc QCD Dashen, Roger; Manohar, Aneesh V. Physics Letters B, Vol. 315, Issue 3-4 https://doi.org/10.1016/0370-2693(93)91635-Z	journal	October 1993
Baryon magnetic moments in the expansion Jenkins, Elizabeth; Manohar, Aneesh V. Physics Letters B, Vol. 335, Issue 3-4 https://doi.org/10.1016/0370-2693(94)90377-8	journal	September 1994
On spin independence in large Nc baryons Carone, Chris; Georgi, Howard; Osofsky, Sam Physics Letters B, Vol. 322, Issue 3 https://doi.org/10.1016/0370-2693(94)91112-6	journal	February 1994
Time reversal odd fragmentation functions in semi-inclusive scattering of polarized leptons from unpolarized hadrons Levelt, J.; Mulders, P. J. Physics Letters B, Vol. 338, Issue 2-3 https://doi.org/10.1016/0370-2693(94)91391-9	journal	October 1994
Baryons in the expansion Witten, Edward Nuclear Physics B, Vol. 160, Issue 1 https://doi.org/10.1016/0550-3213(79)90232-3	journal	November 1979
Equivalence of the chiral soliton and quark models in large N Manohar, Aneesh V. Nuclear Physics B, Vol. 248, Issue 1 https://doi.org/10.1016/0550-3213(84)90584-4	journal	December 1984
Chiral-odd parton distributions and Drell-Yan processes Jaffe, R. L.; Ji, Xiangdong Nuclear Physics B, Vol. 375, Issue 3 https://doi.org/10.1016/0550-3213(92)90110-W	journal	May 1992
Standard model CP-violation and baryon asymmetry (II). Finite temperature Gavela, M. B.; Hernandez, P.; Orloff, J. Nuclear Physics B, Vol. 430, Issue 2 https://doi.org/10.1016/0550-3213(94)00410-2	journal	November 1994
Best values for the CP-odd meson–nucleon couplings from supersymmetry Pospelov, Maxim Physics Letters B, Vol. 530, Issue 1-4 https://doi.org/10.1016/S0370-2693(02)01263-7	journal	March 2002
Modelling quark distribution and fragmentation functions Jakob, R.; Mulders, P. J.; Rodrigues, J. Nuclear Physics A, Vol. 626, Issue 4 https://doi.org/10.1016/S0375-9474(97)00588-5	journal	December 1997
Violation of sum rules for twist-3 parton distributions in QCD Burkardt, Matthias; Koike, Yuji Nuclear Physics B, Vol. 632, Issue 1-3 https://doi.org/10.1016/S0550-3213(02)00263-8	journal	June 2002
Electric dipole moments as probes of new physics Pospelov, Maxim; Ritz, Adam Annals of Physics, Vol. 318, Issue 1 https://doi.org/10.1016/j.aop.2005.04.002	journal	July 2005
The effective chiral Lagrangian from dimension-six parity and time-reversal violation de Vries, J.; Mereghetti, E.; Timmermans, R. G. E. Annals of Physics, Vol. 338 https://doi.org/10.1016/j.aop.2013.05.022	journal	November 2013
P- and T-violating Lagrangians in chiral effective field theory and nuclear electric dipole moments Bsaisou, J.; Meißner, Ulf-G.; Nogga, A. Annals of Physics, Vol. 359 https://doi.org/10.1016/j.aop.2015.04.031	journal	August 2015
Axial currents from CKM matrix CP violation and electroweak baryogenesis Konstandin, Thomas; Prokopec, Tomislav; Schmidt, Michael G. Nuclear Physics B, Vol. 679, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.11.037	journal	February 2004
Toward verification of electroweak baryogenesis by electric dipole moments Fuyuto, Kaori; Hisano, Junji; Senaha, Eibun Physics Letters B, Vol. 755 https://doi.org/10.1016/j.physletb.2016.02.053	journal	April 2016
Electroweak baryogenesis driven by extra top Yukawa couplings Fuyuto, Kaori; Hou, Wei-Shu; Senaha, Eibun Physics Letters B, Vol. 776 https://doi.org/10.1016/j.physletb.2017.11.073	journal	January 2018
The chirally-odd twist-3 distribution e ^a ( x ) Efremov, Anatoli Vasilievich; Schweitzer, Peter Journal of High Energy Physics, Vol. 2003, Issue 08 https://doi.org/10.1088/1126-6708/2003/08/006	journal	August 2003
Confirming the existence of the strong CP problem in lattice QCD with the gradient flow Dragos, Jack; Luu, Thomas; Shindler, Andrea Physical Review C, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevC.103.015202	journal	January 2021
Time-reversal-invariance-violating nucleon-nucleon potential in the 1 / N c expansion Samart, Daris; Schat, Carlos; Schindler, Matthias R. Physical Review C, Vol. 94, Issue 2 https://doi.org/10.1103/PhysRevC.94.024001	journal	August 2016
Performance of the upgraded ultracold neutron source at Los Alamos National Laboratory and its implication for a possible neutron electric dipole moment experiment Ito, T. M.; Adamek, E. R.; Callahan, N. B. Physical Review C, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevC.97.012501	journal	January 2018
First ultracold neutrons produced at TRIUMF Ahmed, S.; Altiere, E.; Andalib, T. Physical Review C, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevC.99.025503	journal	February 2019
Cancellation mechanism for the electron electric dipole moment connected with the baryon asymmetry of the Universe Fuyuto, Kaori; Hou, Wei-Shu; Senaha, Eibun Physical Review D, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevD.101.011901	journal	January 2020
One-loop matching for the twist-3 parton distribution g T ( x ) Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 102, Issue 3 https://doi.org/10.1103/PhysRevD.102.034005	journal	August 2020
C P -odd gluonic operators in QCD spin physics Hatta, Yoshitaka Physical Review D, Vol. 102, Issue 9 https://doi.org/10.1103/PhysRevD.102.094004	journal	November 2020
Insights on proton structure from lattice QCD: The twist-3 parton distribution function g T ( x ) Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.111501	journal	December 2020
The role of zero-mode contributions in the matching for the twist-3 PDFs e ( x ) and h L ( x ) Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114025	journal	December 2020
Neutron electric dipole moment using lattice QCD simulations at the physical point Alexandrou, C.; Athenodorou, A.; Hadjiyiannakou, K. Physical Review D, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevD.103.054501	journal	March 2021
Contribution of the QCD Θ -term to the nucleon electric dipole moment Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan Physical Review D, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevD.103.114507	journal	June 2021
Extraction of the higher-twist parton distribution e(x) from CLAS data Courtoy, Aurore; Miramontes, Angel S.; Avakian, Harut Physical Review D, Vol. 106, Issue 1 https://doi.org/10.1103/PhysRevD.106.014027	journal	July 2022
Erratum: One-loop matching for the twist-3 parton distribution gT(x) [Phys. Rev. D 102 , 034005 (2020)] Bhattacharya, Shohini; Cichy, Krzysztof; Constantinou, Martha Physical Review D, Vol. 108, Issue 3 https://doi.org/10.1103/PhysRevD.108.039901	journal	August 2023
Quark chromoelectric dipole moment operator on the lattice Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan Physical Review D, Vol. 108, Issue 7 https://doi.org/10.1103/PhysRevD.108.074507	journal	October 2023
Nucleon electric dipole moment from the θ term with lattice chiral fermions Liang, Jian; Alexandru, Andrei; Draper, Terrence Physical Review D, Vol. 108, Issue 9 https://doi.org/10.1103/PhysRevD.108.094512	journal	November 2023
Review of Particle Physics Navas, S.; Amsler, C.; Gutsche, T. Physical Review D, Vol. 110, Issue 3 https://doi.org/10.1103/PhysRevD.110.030001	journal	August 2024
CP -nonconserving effects in quantum chromodynamics Baluni, Varouzhan Physical Review D, Vol. 19, Issue 7 https://doi.org/10.1103/PhysRevD.19.2227	journal	April 1979
Some Features of Chiral Symmetry Breaking Dashen, Roger Physical Review D, Vol. 3, Issue 8 https://doi.org/10.1103/PhysRevD.3.1879	journal	April 1971
Large- N baryonic soliton and quarks Gervais, J. -L.; Sakita, B. Physical Review D, Vol. 30, Issue 8 https://doi.org/10.1103/PhysRevD.30.1795	journal	October 1984
1 N c expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 49, Issue 9 https://doi.org/10.1103/PhysRevD.49.4713	journal	May 1994
Erratum: 1 N c expansion for baryons Dashen, Roger; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 5 https://doi.org/10.1103/PhysRevD.51.2489	journal	March 1995
Spin-flavor structure of large N c baryons Dashen, Roger F.; Jenkins, Elizabeth; Manohar, Aneesh V. Physical Review D, Vol. 51, Issue 7 https://doi.org/10.1103/PhysRevD.51.3697	journal	April 1995
Electroweak baryogenesis and standard model CP violation Huet, Patrick; Sather, Eric Physical Review D, Vol. 51, Issue 2 https://doi.org/10.1103/PhysRevD.51.379	journal	January 1995
Baryon mass splittings in the 1/ N c expansion Jenkins, Elizabeth; Lebed, Richard F. Physical Review D, Vol. 52, Issue 1 https://doi.org/10.1103/PhysRevD.52.282	journal	July 1995
Q 2 evolution of chiral-odd twist-3 distribution e ( x , Q 2 ) Koike, Yuji; Nishiyama, N. Physical Review D, Vol. 55, Issue 5 https://doi.org/10.1103/PhysRevD.55.3068	journal	March 1997
Chirally-odd twist-3 distribution function e a ( x ) in the chiral quark-soliton model Schweitzer, P. Physical Review D, Vol. 67, Issue 11 https://doi.org/10.1103/PhysRevD.67.114010	journal	June 2003
Nonperturbative origin of the delta-function singularity in the chirally odd twist-3 distribution function e ( x ) Wakamatsu, M.; Ohnishi, Y. Physical Review D, Vol. 67, Issue 11 https://doi.org/10.1103/PhysRevD.67.114011	journal	June 2003
Azimuthal asymmetries at CLAS: Extraction of e a ( x ) and prediction of A UL Efremov, A. V.; Goeke, K.; Schweitzer, P. Physical Review D, Vol. 67, Issue 11 https://doi.org/10.1103/PhysRevD.67.114014	journal	June 2003
Two-hadron semi-inclusive production including subleading twist contributions Bacchetta, Alessandro; Radici, Marco Physical Review D, Vol. 69, Issue 7 https://doi.org/10.1103/PhysRevD.69.074026	journal	April 2004
πN sigma term and chiral-odd twist-3 distribution function e(x) of the nucleon in the chiral quark soliton model Ohnishi, Y.; Wakamatsu, M. Physical Review D, Vol. 69, Issue 11 https://doi.org/10.1103/PhysRevD.69.114002	journal	June 2004
Probing CP violation with the deuteron electric dipole moment Lebedev, Oleg; Olive, Keith A.; Pospelov, Maxim Physical Review D, Vol. 70, Issue 1 https://doi.org/10.1103/PhysRevD.70.016003	journal	July 2004
Neutron electric dipole moment induced by strangeness revisited Fuyuto, Kaori; Hisano, Junji; Nagata, Natsumi Physical Review D, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevD.87.054018	journal	March 2013
Lattice calculation of electric dipole moments and form factors of the nucleon Abramczyk, M.; Aoki, S.; Blum, T. Physical Review D, Vol. 96, Issue 1 https://doi.org/10.1103/PhysRevD.96.014501	journal	July 2017
Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD Gupta, Rajan; Yoon, Boram; Bhattacharya, Tanmoy Physical Review D, Vol. 98, Issue 9 https://doi.org/10.1103/PhysRevD.98.091501	journal	November 2018
Electric Dipole Moment of the Neutron from 2 + 1 Flavor Lattice QCD Guo, F. -K.; Horsley, R.; Meißner, U. -G. Physical Review Letters, Vol. 115, Issue 6 https://doi.org/10.1103/PhysRevLett.115.062001	journal	August 2015
Relating Hadronic C P Violation to Higher-Twist Distributions Seng, Chien-Yeah Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/PhysRevLett.122.072001	journal	February 2019
New Limit on the Permanent Electric Dipole Moment of Xe 129 Using He 3 Comagnetometry and SQUID Detection Sachdeva, N.; Fan, I.; Babcock, E. Physical Review Letters, Vol. 123, Issue 14 https://doi.org/10.1103/PhysRevLett.123.143003	journal	October 2019
Measurement of the Permanent Electric Dipole Moment of the Neutron Abel, C.; Afach, S.; Ayres, N. J. Physical Review Letters, Vol. 124, Issue 8 https://doi.org/10.1103/PhysRevLett.124.081803	journal	February 2020
Observation of Beam Spin Asymmetries in the Process e p → e ′ π + π − X with CLAS12 Hayward, T. B.; Dilks, C.; Vossen, A. Physical Review Letters, Vol. 126, Issue 15 https://doi.org/10.1103/PhysRevLett.126.152501	journal	April 2021
Large- N QCD Baryon Dynamics—Exact Results from Its Relation to the Static Strong-Coupling Theory Gervais, J. -L.; Sakita, B. Physical Review Letters, Vol. 52, Issue 2 https://doi.org/10.1103/PhysRevLett.52.87	journal	January 1984
Chiral-odd parton distributions and polarized Drell-Yan process Jaffe, R. L.; Ji, Xiangdong Physical Review Letters, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevLett.67.552	journal	July 1991
Baryogenesis from the weak scale to the grand unification scale Bödeker, Dietrich; Buchmüller, Wilfried Reviews of Modern Physics, Vol. 93, Issue 3 https://doi.org/10.1103/RevModPhys.93.035004	journal	August 2021
An improved bound on the electron’s electric dipole moment Roussy, Tanya S.; Caldwell, Luke; Wright, Trevor Science, Vol. 381, Issue 6653 https://doi.org/10.1126/science.adg4084	journal	July 2023
LHAPDF6: parton density access in the LHC precision era Buckley, Andy; Ferrando, James; Lloyd, Stephen The European Physical Journal C, Vol. 75, Issue 3 https://doi.org/10.1140/epjc/s10052-015-3318-8	journal	March 2015
The design of the n2EDM experiment: nEDM Collaboration Ayres, N. J.; Ban, G.; Bienstman, L. The European Physical Journal C, Vol. 81, Issue 6 https://doi.org/10.1140/epjc/s10052-021-09298-z	journal	June 2021
Standard Model Cp-Violation and Baryon Asymmetry Gavela, M. B.; HernÁNdez, P.; Orloff, J. Modern Physics Letters A, Vol. 09, Issue 09 https://doi.org/10.1142/S0217732394000629	journal	March 1994
LARGE- N _c BARYONS Jenkins, Elizabeth Annual Review of Nuclear and Particle Science, Vol. 48, Issue 1 https://doi.org/10.1146/annurev.nucl.48.1.81	journal	December 1998
On the definition of schemes for computing leading order isospin breaking corrections Bussone, Andrea; Della Morte, Michele; Janowski, Tadeusz Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018) https://doi.org/10.22323/1.334.0293	conference	May 2019
Extraordinary Nature of the Nucleon Scalar Charge and Its Densities as a Signal of Nontrivial Vacuum Structure of QCD Wakamatsu, Masashi Symmetry, Vol. 16, Issue 11 https://doi.org/10.3390/sym16111481	journal	November 2024

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Toward the determination of 𝐶⁢𝑃-odd pion-nucleon couplings

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