Non-perturbative renormalization scheme for the C P -odd three-gluon operator

Mereghetti, Emanuele; Cirigliano, Vincenzo; Stoffer, Peter

doi:10.1007/jhep09(2020)094

Title: Non-perturbative renormalization scheme for the C P -odd three-gluon operator

Abstract

We define a regularization-independent momentum-subtraction scheme for the C P -odd three-gluon operator at dimension six. This operator appears in effective field theories for heavy physics beyond the Standard Model, describing the indirect effect of new sources of C P-violation at low energies. In a hadronic context, it induces permanent electric dipole moments. The hadronic matrix elements of the three-gluon operator are non-perturbative objects that should ideally be evaluated with lattice QCD. We define a non-perturbative renormalization scheme that can be implemented on the lattice and we compute the scheme transformation to $ \overline{\mathrm{MS}} $ at one loop. Our calculation can be used as an interface to future lattice-QCD calculations of the matrix elements of the three-gluon operator, in order to obtain theoretically robust constraints on physics beyond the Standard Model from measurements of the neutron electric dipole moment.

Authors:

^[1];

^[1]; Stoffer, Peter ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Univ. of California, San Diego, CA (United States). Dept. of Physics

Publication Date:: Mon Sep 14 00:00:00 EDT 2020

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

Sponsoring Org.:: USDOE Laboratory Directed Research and Development (LDRD) Program; Swiss National Science Foundation (SNSF)

OSTI Identifier:: 1688761

Report Number(s):: LA-UR-20-20500
Journal ID: ISSN 1029-8479; TRN: US2204138

Grant/Contract Number:: 89233218CNA000001; 20190041DR; SC0009919; P300P2_167751

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; non-perturbative renormalization

Citation Formats


                    Mereghetti, Emanuele, Cirigliano, Vincenzo, and Stoffer, Peter. Non-perturbative renormalization scheme for the C P -odd three-gluon operator.  United States: N. p., 2020. 
Web.  doi:10.1007/jhep09(2020)094.

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                    Mereghetti, Emanuele, Cirigliano, Vincenzo, & Stoffer, Peter. Non-perturbative renormalization scheme for the C P -odd three-gluon operator.  United States.  https://doi.org/10.1007/jhep09(2020)094

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                    Mereghetti, Emanuele, Cirigliano, Vincenzo, and Stoffer, Peter. Mon .  
"Non-perturbative renormalization scheme for the C P -odd three-gluon operator".  United States.  https://doi.org/10.1007/jhep09(2020)094.  https://www.osti.gov/servlets/purl/1688761.

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@article{osti_1688761,

  title        = {Non-perturbative renormalization scheme for the C P -odd three-gluon operator},

  author       = {Mereghetti, Emanuele and Cirigliano, Vincenzo and Stoffer, Peter},

  abstractNote = {We define a regularization-independent momentum-subtraction scheme for the C P -odd three-gluon operator at dimension six. This operator appears in effective field theories for heavy physics beyond the Standard Model, describing the indirect effect of new sources of C P-violation at low energies. In a hadronic context, it induces permanent electric dipole moments. The hadronic matrix elements of the three-gluon operator are non-perturbative objects that should ideally be evaluated with lattice QCD. We define a non-perturbative renormalization scheme that can be implemented on the lattice and we compute the scheme transformation to \( \overline{\mathrm{MS}} \) at one loop. Our calculation can be used as an interface to future lattice-QCD calculations of the matrix elements of the three-gluon operator, in order to obtain theoretically robust constraints on physics beyond the Standard Model from measurements of the neutron electric dipole moment.},

  doi          = {10.1007/jhep09(2020)094},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 9,

  volume       = 2020,

  place        = {United States},

  year         = {Mon Sep 14 00:00:00 EDT 2020},

  month        = {Mon Sep 14 00:00:00 EDT 2020}

}

Copy to clipboard

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Citation Formats

On the search for the electric dipole moment of strange and charm baryons at LHC journal, March 2017

Nucleon electric dipole moment with the gradient flow: The θ -term contribution journal, November 2015

Theory of gauge-invariant operators: Their renormalization and S -matrix elements journal, August 1978

Renormalization of Wilson operators in gauge theories journal, September 1974

Evanescent operators, scheme dependences and double insertions journal, November 1995

Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point journal, July 2009

Larger Higgs-boson-exchange terms in the neutron electric dipole moment journal, November 1989

Two- and three-loop anomalous dimensions of Weinberg’s dimension-six C P -odd gluonic operator journal, July 2020

Operator bases, S-matrices, and their partition functions journal, October 2017

Minimal Landau background gauge on the lattice journal, October 2012

The effective chiral Lagrangian from dimension-six parity and time-reversal violation journal, November 2013

On the vanishing of evanescent operators journal, March 1991

Anomalous dimensions and the Adler-Bardeen theorem in supersymmetric Yang-Mills theories journal, January 1984

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

The renormalization of the axial anomaly in dimensional regularization journal, April 1993

Gluon color-electric dipole moment and its anomalous dimension journal, July 1990

Hilbert series for constructing Lagrangians: Expanding the phenomenologist’s toolbox journal, May 2015

Evolution of Weinberg's gluonic CP -violation operator and gauge dependence journal, August 1990

What is the value of the neutron electric dipole moment in the Kobayashi-Maskawa model? journal, March 1982

Reduced Limit on the Permanent Electric Dipole Moment of Hg 199 journal, April 2016

Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron journal, December 2013

QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes journal, March 1990

Hilbert series and operator bases with derivatives in effective field theories journal, December 2015

mu is not equal to zero journal, June 1990

Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology journal, April 2014

Dimension-5 C P -odd operators: QCD mixing and renormalization journal, December 2015

Facts of life with $\gamma_5$ journal, January 2001

The background field method and the S-matrix journal, December 1983

Standard Model Cp-Violation and Baryon Asymmetry journal, March 1994

Chiral perturbation theory to one loop journal, November 1984

Flavor diagonal tensor charges of the nucleon from ( 2 + 1 + 1 )-flavor lattice QCD journal, November 2018

Neutron electric dipole moment with external electric field method in lattice QCD journal, February 2007

Clifford algebras in 2ω dimensions journal, July 1981

Low-energy effective field theory below the electroweak scale: anomalous dimensions journal, January 2018

A general method for non-perturbative renormalization of lattice operators journal, July 1995

Renormalization of non-Abelian gauge theories in a background-field gauge. II. Gauge-invariant operators journal, November 1975

2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT journal, August 2017

Low-energy effective field theory below the electroweak scale: operators and matching journal, March 2018

The background field method beyond one loop journal, July 1981

Current-Mass Ratios of the Light Quarks journal, May 1986

Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence journal, October 2013

Electric dipole moments of atoms, molecules, nuclei, and particles journal, January 2019

Equations of motion for effective Lagrangians and Penguins in rareB-decays journal, March 1994

Short flow-time coefficients of C P -violating operators journal, August 2020

Precision Measurement of the Electron’s Electric Dipole Moment Using Trapped Molecular Ions journal, October 2017

Neutron electric dipole moment from lattice QCD journal, July 2005

Full QCD calculation of neutron electric dipole moment with the external electric field method journal, July 2008

Electric Dipole Moment Results from lattice QCD journal, January 2018

CKM benchmarks for electron electric dipole moment experiments journal, March 2014

Effective lagrangian analysis of new interactions and flavour conservation journal, May 1986

Evolution of Weinberg’s gluonic CP -violation operator journal, April 1990

Constraining the top-Higgs sector of the standard model effective field theory journal, August 2016

Matching factors for Δ S = 1 four-quark operators in RI/SMOM schemes journal, July 2011

Gauge invariance and dimensional regularization with γ 5 in flavor-changing neutral processes journal, September 1995

Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem journal, January 1979

Improved limit on the Ra 225 electric dipole moment journal, August 2016

Renormalization of the axial anomaly operators journal, March 1982

Electroweak baryogenesis and standard model CP violation journal, January 1995

Reexamination of the standard model nucleon electric dipole moment journal, February 2015

Dimensional renormalization and the action principle journal, February 1977

Regularization and renormalization of gauge fields journal, July 1972

Neutron Electric Dipole Moment in the Standard Model: Complete Three-Loop Calculation of the Valence Quark Contributions journal, June 1997

Improved limit on the electric dipole moment of the electron October 2018

Sum rules for CP-violating operators of Weinberg type journal, November 2019

Improved Experimental Limit on the Electric Dipole Moment of the Neutron journal, September 2006

Hadronic electric dipole moments, the Weinberg operator, and light gluinos journal, January 2003

Evidence for the 2 π Decay of the K 2 0 Meson journal, July 1964

Renormalization group running of dimension-six sources of parity and time-reversal violation journal, May 2013

Dimension-six terms in the Standard Model Lagrangian journal, October 2010

Neutron and proton electric dipole moments from N f = 2 + 1 domain-wall fermion lattice QCD journal, May 2016

Minimal subtraction and momentum subtraction in quantum chromodynamics at two-loop order journal, September 1981

Low-derivative operators of the Standard Model effective field theory via Hilbert series methods journal, February 2016

Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence journal, January 2014

Renormalization of gauge-invariant operators and the axial anomaly journal, July 1983

Low-energy effective field theory below the electroweak scale: matching at one loop journal, October 2019

Novel Method for the Direct Measurement of the τ Lepton Dipole Moments journal, July 2019

General theory of renormalization of gauge invariant operators journal, March 1976

On the search for the electric dipole moment of strange and charm baryons at LHC
journal, March 2017

Nucleon electric dipole moment with the gradient flow: The $θ$ -term contribution
journal, November 2015

Theory of gauge-invariant operators: Their renormalization and $S$ -matrix elements
journal, August 1978

Renormalization of Wilson operators in gauge theories
journal, September 1974

Evanescent operators, scheme dependences and double insertions
journal, November 1995

Renormalization of quark bilinear operators in a momentum-subtraction scheme with a nonexceptional subtraction point
journal, July 2009

Larger Higgs-boson-exchange terms in the neutron electric dipole moment
journal, November 1989

Two- and three-loop anomalous dimensions of Weinberg’s dimension-six $C P$ -odd gluonic operator
journal, July 2020

Operator bases, S-matrices, and their partition functions
journal, October 2017

Minimal Landau background gauge on the lattice
journal, October 2012

The effective chiral Lagrangian from dimension-six parity and time-reversal violation
journal, November 2013

On the vanishing of evanescent operators
journal, March 1991

Anomalous dimensions and the Adler-Bardeen theorem in supersymmetric Yang-Mills theories
journal, January 1984

Chiral perturbation theory: Expansions in the mass of the strange quark
journal, January 1985

The renormalization of the axial anomaly in dimensional regularization
journal, April 1993

Gluon color-electric dipole moment and its anomalous dimension
journal, July 1990

Hilbert series for constructing Lagrangians: Expanding the phenomenologist’s toolbox
journal, May 2015

Evolution of Weinberg's gluonic $CP$ -violation operator and gauge dependence
journal, August 1990

What is the value of the neutron electric dipole moment in the Kobayashi-Maskawa model?
journal, March 1982

Reduced Limit on the Permanent Electric Dipole Moment of ${}^{199}{Hg}$
journal, April 2016

Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
journal, December 2013

QCD nonleading corrections to weak decays in dimensional regularization and 't Hooft-Veltman schemes
journal, March 1990

Hilbert series and operator bases with derivatives in effective field theories
journal, December 2015

mu is not equal to zero
journal, June 1990

Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
journal, April 2014

Dimension-5 $C P$ -odd operators: QCD mixing and renormalization
journal, December 2015

Facts of life with $\gamma_5$
journal, January 2001

The background field method and the S-matrix
journal, December 1983

Standard Model Cp-Violation and Baryon Asymmetry
journal, March 1994

Chiral perturbation theory to one loop
journal, November 1984

Flavor diagonal tensor charges of the nucleon from ( $2 + 1 + 1$ )-flavor lattice QCD
journal, November 2018

Neutron electric dipole moment with external electric field method in lattice QCD
journal, February 2007

Clifford algebras in 2ω dimensions
journal, July 1981

Low-energy effective field theory below the electroweak scale: anomalous dimensions
journal, January 2018

A general method for non-perturbative renormalization of lattice operators
journal, July 1995

Renormalization of non-Abelian gauge theories in a background-field gauge. II. Gauge-invariant operators
journal, November 1975

2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT
journal, August 2017

Low-energy effective field theory below the electroweak scale: operators and matching
journal, March 2018

The background field method beyond one loop
journal, July 1981

Current-Mass Ratios of the Light Quarks
journal, May 1986

Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence
journal, October 2013

Electric dipole moments of atoms, molecules, nuclei, and particles
journal, January 2019

Equations of motion for effective Lagrangians and Penguins in rareB-decays
journal, March 1994

Short flow-time coefficients of $C P$ -violating operators
journal, August 2020

Precision Measurement of the Electron’s Electric Dipole Moment Using Trapped Molecular Ions
journal, October 2017

Neutron electric dipole moment from lattice QCD
journal, July 2005

Full QCD calculation of neutron electric dipole moment with the external electric field method
journal, July 2008

Electric Dipole Moment Results from lattice QCD
journal, January 2018

CKM benchmarks for electron electric dipole moment experiments
journal, March 2014

Effective lagrangian analysis of new interactions and flavour conservation
journal, May 1986

Evolution of Weinberg’s gluonic CP -violation operator
journal, April 1990

Constraining the top-Higgs sector of the standard model effective field theory
journal, August 2016

Matching factors for $Δ S = 1$ four-quark operators in RI/SMOM schemes
journal, July 2011

Gauge invariance and dimensional regularization with $γ_{5}$ in flavor-changing neutral processes
journal, September 1995

Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
journal, January 1979

Improved limit on the ${}^{225}{Ra}$ electric dipole moment
journal, August 2016

Renormalization of the axial anomaly operators
journal, March 1982

Electroweak baryogenesis and standard model CP violation
journal, January 1995

Reexamination of the standard model nucleon electric dipole moment
journal, February 2015

Dimensional renormalization and the action principle
journal, February 1977

Regularization and renormalization of gauge fields
journal, July 1972

Neutron Electric Dipole Moment in the Standard Model: Complete Three-Loop Calculation of the Valence Quark Contributions
journal, June 1997

Improved limit on the electric dipole moment of the electron
October 2018

Sum rules for CP-violating operators of Weinberg type
journal, November 2019

Improved Experimental Limit on the Electric Dipole Moment of the Neutron
journal, September 2006

Hadronic electric dipole moments, the Weinberg operator, and light gluinos
journal, January 2003

Evidence for the $2 π$ Decay of the $K_{2}^{0}$ Meson
journal, July 1964

Renormalization group running of dimension-six sources of parity and time-reversal violation
journal, May 2013

Dimension-six terms in the Standard Model Lagrangian
journal, October 2010

Neutron and proton electric dipole moments from $N_{f} = 2 + 1$ domain-wall fermion lattice QCD
journal, May 2016

Minimal subtraction and momentum subtraction in quantum chromodynamics at two-loop order
journal, September 1981

Low-derivative operators of the Standard Model effective field theory via Hilbert series methods
journal, February 2016

Renormalization group evolution of the Standard Model dimension six operators II: Yukawa dependence
journal, January 2014

Renormalization of gauge-invariant operators and the axial anomaly
journal, July 1983

Low-energy effective field theory below the electroweak scale: matching at one loop
journal, October 2019

Novel Method for the Direct Measurement of the $τ$ Lepton Dipole Moments
journal, July 2019

General theory of renormalization of gauge invariant operators
journal, March 1976

Invariant tensors inSU (3)
journal, September 1971

Strange matrix elements in the proton from neutral-current experiments
journal, December 1988

Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
text, January 2017