Dimension-5 -odd operators: QCD mixing and renormalization
Abstract
Here, we study the off-shell mixing and renormalization of flavor-diagonal dimension-five T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromoelectric dipole operators. Furthermore, we present the renormalization matrix to one loop in the $$\bar{MS}$$ scheme. We also provide a definition of the quark chromoelectric dipole operator in a regularization-independent momentum-subtraction scheme suitable for nonperturbative lattice calculations and present the matching coefficients with the $$\bar{MS}$$ scheme to one loop in perturbation theory, using both the naïve dimensional regularization and ’t Hooft–Veltman prescriptions for γ5.
- Authors:
-
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1329570
- Alternate Identifier(s):
- OSTI ID: 1233945
- Report Number(s):
- LA-UR-15-21109
Journal ID: ISSN 1550-7998; PRVDAQ
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 11; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics
Citation Formats
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Gupta, Rajan, Mereghetti, Emanuele, and Yoon, Boram. Dimension-5 CP -odd operators: QCD mixing and renormalization. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.92.114026.
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Gupta, Rajan, Mereghetti, Emanuele, & Yoon, Boram. Dimension-5 CP -odd operators: QCD mixing and renormalization. United States. https://doi.org/10.1103/PhysRevD.92.114026
Bhattacharya, Tanmoy, Cirigliano, Vincenzo, Gupta, Rajan, Mereghetti, Emanuele, and Yoon, Boram. Wed .
"Dimension-5 CP -odd operators: QCD mixing and renormalization". United States. https://doi.org/10.1103/PhysRevD.92.114026. https://www.osti.gov/servlets/purl/1329570.
@article{osti_1329570,
title = {Dimension-5 CP -odd operators: QCD mixing and renormalization},
author = {Bhattacharya, Tanmoy and Cirigliano, Vincenzo and Gupta, Rajan and Mereghetti, Emanuele and Yoon, Boram},
abstractNote = {Here, we study the off-shell mixing and renormalization of flavor-diagonal dimension-five T- and P-odd operators involving quarks, gluons, and photons, including quark electric dipole and chromoelectric dipole operators. Furthermore, we present the renormalization matrix to one loop in the $\bar{MS}$ scheme. We also provide a definition of the quark chromoelectric dipole operator in a regularization-independent momentum-subtraction scheme suitable for nonperturbative lattice calculations and present the matching coefficients with the $\bar{MS}$ scheme to one loop in perturbation theory, using both the naïve dimensional regularization and ’t Hooft–Veltman prescriptions for γ5.},
doi = {10.1103/PhysRevD.92.114026},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 11,
volume = 92,
place = {United States},
year = {2015},
month = {12}
}
Web of Science
Works referenced in this record:
C P -Violation in the Renormalizable Theory of Weak Interaction
journal, February 1973
- Kobayashi, Makoto; Maskawa, Toshihide
- Progress of Theoretical Physics, Vol. 49, Issue 2
Electric dipole moments as probes of new physics
journal, July 2005
- Pospelov, Maxim; Ritz, Adam
- Annals of Physics, Vol. 318, Issue 1
Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
journal, December 2013
- Baron, J.; Campbell, W. C.; DeMille, D.
- Science, Vol. 343, Issue 6168
Improved measurement of the shape of the electron
journal, May 2011
- Hudson, J. J.; Kara, D. M.; Smallman, I. J.
- Nature, Vol. 473, Issue 7348
New Limit on the Electron Electric Dipole Moment
journal, February 2002
- Regan, B. C.; Commins, Eugene D.; Schmidt, Christian J.
- Physical Review Letters, Vol. 88, Issue 7
Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006
- Baker, C. A.; Doyle, D. D.; Geltenbort, P.
- Physical Review Letters, Vol. 97, Issue 13
Improved Limit on the Permanent Electric Dipole Moment of
journal, March 2009
- Griffith, W. C.; Swallows, M. D.; Loftus, T. H.
- Physical Review Letters, Vol. 102, Issue 10
Electroweak baryogenesis
journal, December 2012
- Morrissey, David E.; Ramsey-Musolf, Michael J.
- New Journal of Physics, Vol. 14, Issue 12
Electric dipole moments: A global analysis
journal, March 2015
- Chupp, Timothy; Ramsey-Musolf, Michael
- Physical Review C, Vol. 91, Issue 3
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond
journal, July 2013
- Engel, Jonathan; Ramsey-Musolf, Michael J.; van Kolck, U.
- Progress in Particle and Nuclear Physics, Vol. 71
The effective chiral Lagrangian from the theta term
journal, November 2010
- Mereghetti, E.; Hockings, W. H.; van Kolck, U.
- Annals of Physics, Vol. 325, Issue 11
The effective chiral Lagrangian from dimension-six parity and time-reversal violation
journal, November 2013
- de Vries, J.; Mereghetti, E.; Timmermans, R. G. E.
- Annals of Physics, Vol. 338
Electric dipole moments of light nuclei from chiral effective field theory
journal, December 2011
- de Vries, J.; Higa, R.; Liu, C. -P.
- Physical Review C, Vol. 84, Issue 6
Unraveling models of CP violation through electric dipole moments of light nuclei
journal, July 2014
- Dekens, W.; de Vries, J.; Bsaisou, J.
- Journal of High Energy Physics, Vol. 2014, Issue 7
Nuclear electric dipole moments in chiral effective field theory
journal, March 2015
- Bsaisou, J.; de Vries, J.; Hanhart, C.
- Journal of High Energy Physics, Vol. 2015, Issue 3
Erratum to: Nuclear electric dipole moments in chiral effective field theory
journal, May 2015
- Bsaisou, J.; de Vries, J.; Hanhart, C.
- Journal of High Energy Physics, Vol. 2015, Issue 5
Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules
journal, September 1999
- Pospelov, Maxim; Ritz, Adam
- Physical Review Letters, Vol. 83, Issue 13
Hadron electric dipole moments from CP-odd operators of dimension five via QCD sum rules: the vector meson
journal, January 2000
- Pospelov, Maxim; Ritz, Adam
- Physics Letters B, Vol. 471, Issue 4
Neutron electric dipole moment from electric and chromoelectric dipole moments of quarks
journal, March 2001
- Pospelov, Maxim; Ritz, Adam
- Physical Review D, Vol. 63, Issue 7
Reevaluation of neutron electric dipole moment with QCD sum rules
journal, June 2012
- Hisano, Junji; Lee, Jeong Yong; Nagata, Natsumi
- Physical Review D, Vol. 85, Issue 11
Electric dipole moment of the meson
journal, January 2013
- Pitschmann, Mario; Seng, Chien-Yeah; Ramsey-Musolf, Michael J.
- Physical Review C, Vol. 87, Issue 1
Nucleon tensor charges and electric dipole moments
journal, April 2015
- Pitschmann, Mario; Seng, Chien-Yeah; Roberts, Craig D.
- Physical Review D, Vol. 91, Issue 7
Neutron electric dipole moment in lattice QCD
journal, September 1989
- Aoki, Sinya; Gocksch, Andreas
- Physical Review Letters, Vol. 63, Issue 11
Calculating the neutron electric dipole moment on the lattice
journal, August 1990
- Aoki, S.; Gocksch, A.; Manohar, A. V.
- Physical Review Letters, Vol. 65, Issue 9
Neutron electric dipole moment on the lattice: a theoretical reappraisal
journal, April 2003
- Guadagnoli, Diego; Lubicz, Vittorio; Martinelli, Guido
- Journal of High Energy Physics, Vol. 2003, Issue 04
Neutron electric dipole moment from lattice QCD
journal, July 2005
- Shintani, E.; Aoki, S.; Ishizuka, N.
- Physical Review D, Vol. 72, Issue 1
Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions
journal, March 2006
- Berruto, F.; Blum, T.; Orginos, K.
- Physical Review D, Vol. 73, Issue 5
Full QCD calculation of neutron electric dipole moment with the external electric field method
journal, July 2008
- Shintani, E.; Aoki, S.; Kuramashi, Y.
- Physical Review D, Vol. 78, Issue 1
Electric Dipole Moment of the Neutron from Flavor Lattice QCD
journal, August 2015
- Guo, F. -K.; Horsley, R.; Meißner, U. -G.
- Physical Review Letters, Vol. 115, Issue 6
Nucleon charges and electromagnetic form factors from -flavor lattice QCD
journal, May 2014
- Bhattacharya, Tanmoy; Cohen, Saul D.; Gupta, Rajan
- Physical Review D, Vol. 89, Issue 9
Renormalization of the chromomagnetic operator on the lattice
journal, August 2015
- Constantinou, M.; Costa, M.; Frezzotti, R.
- Physical Review D, Vol. 92, Issue 3
Some Features of Chiral Symmetry Breaking
journal, April 1971
- Dashen, Roger
- Physical Review D, Vol. 3, Issue 8
-nonconserving effects in quantum chromodynamics
journal, April 1979
- Baluni, Varouzhan
- Physical Review D, Vol. 19, Issue 7
Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics
journal, December 1979
- Crewther, R. J.; Di Vecchia, P.; Veneziano, G.
- Physics Letters B, Vol. 88, Issue 1-2
Effective lagrangian analysis of new interactions and flavour conservation
journal, May 1986
- Buchmüller, W.; Wyler, D.
- Nuclear Physics B, Vol. 268, Issue 3-4
Dimension-six terms in the Standard Model Lagrangian
journal, October 2010
- Grzadkowski, B.; Iskrzyński, M.; Misiak, M.
- Journal of High Energy Physics, Vol. 2010, Issue 10
Renormalization group running of dimension-six sources of parity and time-reversal violation
journal, May 2013
- Dekens, W.; de Vries, J.
- Journal of High Energy Physics, Vol. 2013, Issue 5
QCD corrections to neutron electric dipole moment from dimension-six four-quark operators
journal, July 2012
- Hisano, Junji; Tsumura, Koji; Yang, Masaki J. S.
- Physics Letters B, Vol. 713, Issue 4-5
Conservation in the Presence of Pseudoparticles
journal, June 1977
- Peccei, R. D.; Quinn, Helen R.
- Physical Review Letters, Vol. 38, Issue 25
Implications of the strange spin of the nucleon for the neutron electric dipole moment in supersymmetric theories
journal, June 1996
- Ellis, John; Flores, Ricardo A.
- Physics Letters B, Vol. 377, Issue 1-3
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD
journal, November 2015
- Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan
- Physical Review Letters, Vol. 115, Issue 21
A general method for non-perturbative renormalization of lattice operators
journal, July 1995
- Martinelli, G.; Pittori, C.; Sachrajda, C. T.
- Nuclear Physics B, Vol. 445, Issue 1
Renormalization of gauge theories
journal, June 1976
- Becchi, C.; Rouet, A.; Stora, R.
- Annals of Physics, Vol. 98, Issue 2
Theory of gauge-invariant operators: Their renormalization and -matrix elements
journal, August 1978
- Deans, W. S.; Dixon, J. A.
- Physical Review D, Vol. 18, Issue 4
The dimension-5 Lorentz invariant operator system in QCD
journal, September 1979
- Hill, Christopher T.
- Nuclear Physics B, Vol. 156, Issue 3
A method for simulating chiral fermions on the lattice
journal, August 1992
- Kaplan, David B.
- Physics Letters B, Vol. 288, Issue 3-4
Chiral determinant as an overlap of two vacua
journal, January 1994
- Narayanan, Rajamani; Neuberger, Herbert
- Nuclear Physics B, Vol. 412, Issue 3
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
journal, July 2009
- Sturm, C.; Aoki, Y.; Christ, N. H.
- Physical Review D, Vol. 80, Issue 1
Renormalization of the axial anomaly operators
journal, March 1982
- Espriu, D.; Tarrach, R.
- Zeitschrift für Physik C Particles and Fields, Vol. 16, Issue 1
rule and right-handed currents: Heavy-quark expansion and limitation on Zweig's rule
journal, May 1977
- Wilczek, Frank; Zee, A.
- Physical Review D, Vol. 15, Issue 9
The rule with heavy quarks and right-handed currents
journal, June 1976
- Ellis, R. K.
- Nuclear Physics B, Vol. 108, Issue 2
Leading-order QCD corrections to b → sγ and b → sg decays in three regularization schemes
journal, June 1994
- Ciuchini, M.; Franco, E.; Reina, L.
- Nuclear Physics B, Vol. 421, Issue 1
QCD corrections to the electric dipole moment of the neutron in the MSSM
journal, November 2005
- Degrassi, Giuseppe; Marchetti, Schedar; Franco, Enrico
- Journal of High Energy Physics, Vol. 2005, Issue 11
Applications of gauge-fixed correlation functions of quarks and gluons
journal, May 1991
- Bernard, Claude; Soni, Amarjit; Yee, Ken
- Nuclear Physics B - Proceedings Supplements, Vol. 20
Chiral symmetry and O(a) improvement in lattice QCD
journal, October 1996
- Lüscher, M.
- Nuclear Physics B, Vol. 478, Issue 1-2
Improved bilinears in lattice QCD with nondegenerate quarks
journal, February 2006
- Bhattacharya, Tanmoy; Gupta, Rajan; Lee, Weonjong
- Physical Review D, Vol. 73, Issue 3
Explicit calculation of the renormalized singlet axial anomaly
journal, August 1993
- Bos, Michiel
- Nuclear Physics B, Vol. 404, Issue 1-2
Chiral symmetry on the lattice with Wilson fermions
journal, December 1985
- Bochicchio, Marco; Maiani, Luciano; Martinelli, Guido
- Nuclear Physics B, Vol. 262, Issue 2
Some observations on broken symmetries
journal, April 1998
- Testa, M.
- Journal of High Energy Physics, Vol. 1998, Issue 04
Lattice fermions: Species doubling, chiral invariance and the triangle anomaly
journal, May 1981
- Karsten, Luuk H.; Smith, Jan
- Nuclear Physics B, Vol. 183, Issue 1-2
Axial symmetries in lattice QCD with Kaplan fermions
journal, April 1995
- Furman, Vadim; Shamir, Yigal
- Nuclear Physics B, Vol. 439, Issue 1-2
Renormalization-prescription dependence of the quantum-chromodynamic coupling constant
journal, September 1979
- Celmaster, William; Gonsalves, Richard J.
- Physical Review D, Vol. 20, Issue 6
Minimal subtraction and momentum subtraction in quantum chromodynamics at two-loop order
journal, September 1981
- Braaten, Eric; Leveille, Jacques P.
- Physical Review D, Vol. 24, Issue 5
The renormalization of the axial anomaly in dimensional regularization
journal, April 1993
- Larin, S. A.
- Physics Letters B, Vol. 303, Issue 1-2
Larger Higgs-boson-exchange terms in the neutron electric dipole moment
journal, November 1989
- Weinberg, Steven
- Physical Review Letters, Vol. 63, Issue 21
Problem of Strong and Invariance in the Presence of Instantons
journal, January 1978
- Wilczek, F.
- Physical Review Letters, Vol. 40, Issue 5
Works referencing / citing this record:
matrix elements of the chromomagnetic operator on the lattice
journal, April 2018
- Constantinou, M.; Costa, M.; Frezzotti, R.
- Physical Review D, Vol. 97, Issue 7
Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP violation
journal, March 2017
- Yamanaka, N.; Sahoo, B. K.; Yoshinaga, N.
- The European Physical Journal A, Vol. 53, Issue 3
Constraining the top-Higgs sector of the Standard Model Effective Field Theory
text, January 2016
- Cirigliano, V.; Dekens, W.; de Vries, J.
- arXiv
Up, down, and strange nucleon axial form factors from lattice QCD
text, January 2017
- Green, Jeremy; Hasan, Nesreen; Meinel, Stefan
- arXiv
Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
text, January 2017
- Jenkins, Elizabeth E.; Manohar, Aneesh V.; Stoffer, Peter
- arXiv
Machine Learning Estimators for Lattice QCD Observables
text, January 2018
- Yoon, Boram; Bhattacharya, Tanmoy; Gupta, Rajan
- arXiv