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Title: Dimension-5 C P -odd operators: QCD mixing and renormalization

Journal Article · · Physical Review. D, Particles, Fields, Gravitation and Cosmology
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  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

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.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1329570
Alternate ID(s):
OSTI ID: 1233945
Report Number(s):
LA-UR-15-21109; PRVDAQ
Journal Information:
Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 92, Issue 11; ISSN 1550-7998
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 29 works
Citation information provided by
Web of Science

References (70)

C P -Violation in the Renormalizable Theory of Weak Interaction journal February 1973
Electric dipole moments as probes of new physics journal July 2005
Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron journal December 2013
Improved measurement of the shape of the electron journal May 2011
New Limit on the Electron Electric Dipole Moment journal February 2002
Improved Experimental Limit on the Electric Dipole Moment of the Neutron journal September 2006
Improved Limit on the Permanent Electric Dipole Moment of Hg 199 journal March 2009
Electroweak baryogenesis journal December 2012
Electric dipole moments: A global analysis journal March 2015
Electric dipole moments of nucleons, nuclei, and atoms: The Standard Model and beyond journal July 2013
The effective chiral Lagrangian from the theta term journal November 2010
The effective chiral Lagrangian from dimension-six parity and time-reversal violation journal November 2013
Electric dipole moments of light nuclei from chiral effective field theory journal December 2011
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Unraveling models of CP violation through electric dipole moments of light nuclei journal July 2014
Nuclear electric dipole moments in chiral effective field theory journal March 2015
Erratum to: Nuclear electric dipole moments in chiral effective field theory journal May 2015
Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules journal September 1999
Hadron electric dipole moments from CP-odd operators of dimension five via QCD sum rules: the vector meson journal January 2000
Neutron electric dipole moment from electric and chromoelectric dipole moments of quarks journal March 2001
Reevaluation of neutron electric dipole moment with QCD sum rules journal June 2012
Electric dipole moment of the ρ meson journal January 2013
Nucleon tensor charges and electric dipole moments journal April 2015
Neutron electric dipole moment in lattice QCD journal September 1989
Calculating the neutron electric dipole moment on the lattice journal August 1990
Neutron electric dipole moment on the lattice: a theoretical reappraisal journal April 2003
Neutron electric dipole moment from lattice QCD journal July 2005
Calculation of the neutron electric dipole moment with two dynamical flavors of domain wall fermions journal March 2006
Full QCD calculation of neutron electric dipole moment with the external electric field method journal July 2008
Electric Dipole Moment of the Neutron from 2 + 1 Flavor Lattice QCD journal August 2015
Nucleon charges and electromagnetic form factors from 2 + 1 + 1 -flavor lattice QCD journal May 2014
Renormalization of the chromomagnetic operator on the lattice journal August 2015
Some Features of Chiral Symmetry Breaking journal April 1971
CP -nonconserving effects in quantum chromodynamics journal April 1979
Chiral estimate of the electric dipole moment of the neutron in quantum chromodynamics journal December 1979
Effective lagrangian analysis of new interactions and flavour conservation journal May 1986
Dimension-six terms in the Standard Model Lagrangian journal October 2010
Renormalization group running of dimension-six sources of parity and time-reversal violation journal May 2013
QCD corrections to neutron electric dipole moment from dimension-six four-quark operators journal July 2012
CP Conservation in the Presence of Pseudoparticles journal June 1977
Implications of the strange spin of the nucleon for the neutron electric dipole moment in supersymmetric theories journal June 1996
Neutron Electric Dipole Moment and Tensor Charges from Lattice QCD journal November 2015
A general method for non-perturbative renormalization of lattice operators journal July 1995
Renormalization of gauge theories journal June 1976
Theory of gauge-invariant operators: Their renormalization and S -matrix elements journal August 1978
Renormalization book March 2010
The dimension-5 Lorentz invariant operator system in QCD journal September 1979
A method for simulating chiral fermions on the lattice journal August 1992
Chiral determinant as an overlap of two vacua journal January 1994
Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point journal July 2009
Renormalization of the axial anomaly operators journal March 1982
Δ I = 1 2 rule and right-handed currents: Heavy-quark expansion and limitation on Zweig's rule journal May 1977
The rule with heavy quarks and right-handed currents journal June 1976
Leading-order QCD corrections to b → sγ and b → sg decays in three regularization schemes journal June 1994
QCD corrections to the electric dipole moment of the neutron in the MSSM journal November 2005
Applications of gauge-fixed correlation functions of quarks and gluons journal May 1991
Chiral symmetry and O(a) improvement in lattice QCD journal October 1996
Improved bilinears in lattice QCD with nondegenerate quarks journal February 2006
Explicit calculation of the renormalized singlet axial anomaly journal August 1993
Chiral symmetry on the lattice with Wilson fermions journal December 1985
Some observations on broken symmetries journal April 1998
Lattice fermions: Species doubling, chiral invariance and the triangle anomaly journal May 1981
Axial symmetries in lattice QCD with Kaplan fermions journal April 1995
Renormalization-prescription dependence of the quantum-chromodynamic coupling constant journal September 1979
Minimal subtraction and momentum subtraction in quantum chromodynamics at two-loop order journal September 1981
The renormalization of the axial anomaly in dimensional regularization journal April 1993
Larger Higgs-boson-exchange terms in the neutron electric dipole moment journal November 1989
A New Light Boson? journal January 1978
Problem of Strong P and T Invariance in the Presence of Instantons journal January 1978
Manifesting the invisible axion at low energies journal March 1986

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