Dimension-5 CP -odd operators: QCD mixing and renormalization

Bhattacharya, Tanmoy; Cirigliano, Vincenzo; Gupta, Rajan; Mereghetti, Emanuele; Yoon, Boram

doi:10.1103/PhysRevD.92.114026

Title: Dimension-5 $C P$ -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:

Bhattacharya, Tanmoy ^[1]; Cirigliano, Vincenzo ^[1]; Gupta, Rajan ^[1]; Mereghetti, Emanuele ^[1]; Yoon, Boram ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

Publication Date:: Wed Dec 23 00:00:00 EST 2015

Research Org.:: Los Alamos National Laboratory (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.

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                    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

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                    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.

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@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         = {Wed Dec 23 00:00:00 EST 2015},

  month        = {Wed Dec 23 00:00:00 EST 2015}

}

Copy to clipboard

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https://doi.org/10.1103/PHYSREVD.83.074506

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Title: Dimension-5 CP -odd operators: QCD mixing and renormalization

Abstract

Citation Formats

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

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

K → π matrix elements of the chromomagnetic operator on the lattice journal, April 2018

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

Constraining the top-Higgs sector of the Standard Model Effective Field Theory text, January 2016

Up, down, and strange nucleon axial form factors from lattice QCD text, January 2017

Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions text, January 2017

Machine Learning Estimators for Lattice QCD Observables text, January 2018

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

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 ${}^{199}{Hg}$
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

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

$Δ I = \frac{1}{2}$ 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

$K \to π$ matrix elements of the chromomagnetic operator on the lattice
journal, April 2018

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

Constraining the top-Higgs sector of the Standard Model Effective Field Theory
text, January 2016

Up, down, and strange nucleon axial form factors from lattice QCD
text, January 2017

Low-Energy Effective Field Theory below the Electroweak Scale: Anomalous Dimensions
text, January 2017

Machine Learning Estimators for Lattice QCD Observables
text, January 2018