Electroweak sphaleron with dimension-six operators

Gan, Xucheng; Long, Andrew J.; Wang, Lian-Tao

doi:10.1103/PhysRevD.96.115018

Title: Electroweak sphaleron with dimension-six operators

Abstract

New physics at the TeV scale can affect the dynamics of the electroweak phase transition in many ways. In this paper, we evaluate its impact on the rate of baryon-number violation via sphaleron transitions. We parameterize the effect of new physics with dimension-6 operators, and we use the Newton-Kantorovich method to numerically solve the resulting equations of motion. Depending on the sign of the coefficient of the dimension-6 operators, their presence can either increase or decrease the sphaleron energy at the level of a few percent, parametrically of order m$$2\atop{W}$$/Λ² where Λ is the scale suppressing the dimension-6 operator. Lastly, the baryon-number washout condition, typically written as v_c/T_c>1, is directly proportional to the sphaleron energy, and we discuss how the presence of dimension-6 operators can affect electroweak baryogenesis.

Authors:

Gan, Xucheng ^[1]; Long, Andrew J. ^[2]; Wang, Lian-Tao ^[3]

Univ. of Chicago, IL (United States). Enrico Fermi Inst.
Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics
Univ. of Chicago, IL (United States). Enrico Fermi Inst. and Kavli Inst. for Cosmological Physics

Publication Date:: 2017-12-21

Research Org.:: Univ. of Chicago, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

OSTI Identifier:: 1595706

Alternate Identifier(s):: OSTI ID: 1414513

Grant/Contract Number:: SC0009924; SC0013642; PHY-1125897

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 96; Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Baryogenesis & leptogenesis; Effective field theory; Nonperturbative effects in field theory

Citation Formats


                    Gan, Xucheng, Long, Andrew J., and Wang, Lian-Tao. Electroweak sphaleron with dimension-six operators.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.96.115018.

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                    Gan, Xucheng, Long, Andrew J., & Wang, Lian-Tao. Electroweak sphaleron with dimension-six operators.  United States.  https://doi.org/10.1103/PhysRevD.96.115018

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                    Gan, Xucheng, Long, Andrew J., and Wang, Lian-Tao. Thu .  
"Electroweak sphaleron with dimension-six operators".  United States.  https://doi.org/10.1103/PhysRevD.96.115018.  https://www.osti.gov/servlets/purl/1595706.

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@article{osti_1595706,

  title        = {Electroweak sphaleron with dimension-six operators},

  author       = {Gan, Xucheng and Long, Andrew J. and Wang, Lian-Tao},

  abstractNote = {New physics at the TeV scale can affect the dynamics of the electroweak phase transition in many ways. In this paper, we evaluate its impact on the rate of baryon-number violation via sphaleron transitions. We parameterize the effect of new physics with dimension-6 operators, and we use the Newton-Kantorovich method to numerically solve the resulting equations of motion. Depending on the sign of the coefficient of the dimension-6 operators, their presence can either increase or decrease the sphaleron energy at the level of a few percent, parametrically of order m$2\atop{W}$/Λ2 where Λ is the scale suppressing the dimension-6 operator. Lastly, the baryon-number washout condition, typically written as vc/Tc>1, is directly proportional to the sphaleron energy, and we discuss how the presence of dimension-6 operators can affect electroweak baryogenesis.},

  doi          = {10.1103/PhysRevD.96.115018},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 96,

  place        = {United States},

  year         = {2017},

  month        = {12}

}

Copy to clipboard

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Works referencing / citing this record:

Probing baryogenesis through the Higgs boson self-coupling
journal, April 2018

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Higgs Pair Production at Future Hadron Colliders: From Kinematics to Dynamics
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Goncalves, Dorival; Han, Tao; Kling, Felix
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Title: Electroweak sphaleron with dimension-six operators

Abstract

Citation Formats

Symmetry Breaking through Bell-Jackiw Anomalies journal, July 1976

Topology in the Weinberg-Salam theory journal, October 1983

Baryogenesis at the electroweak scale journal, May 1992

Higgs at last journal, November 2013

Baryon and lepton number violation rates across the electroweak crossover journal, February 2006

What is the criterion for a strong first order electroweak phase transition in singlet models? journal, April 2007

Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended standard model journal, July 2014

The sphaleron at finite mixing angle journal, June 1992

Dynamics of non-renormalizable electroweak symmetry breaking journal, April 2008

Electroweak bubbles and sphalerons journal, October 1993

Static minimum-energy path from a vacuum to a sphaleron in the Weinberg-Salam model journal, September 1988

Effective Lagrangian approach to electroweak baryogenesis: Higgs boson mass limit and electric dipole moments of fermions journal, January 1994

Effective field theory, electric dipole moments and electroweak baryogenesis journal, March 2017

Towards the ultimate SM fit to close in on Higgs physics journal, January 2014

Structure of the high temperature gauge ground state and electroweak production of the baryon asymmetry journal, April 1988

Sphalerons at Finite Temperature journal, December 1993

Sphalerons, small fluctuations, and baryon-number violation in electroweak theory journal, July 1987

First-order electroweak phase transition in the standard model with a low cutoff journal, February 2005

Quasilinearization, difference approximation, and nonlinear boundary value problems journal, May 1968

Testing the electroweak phase transition and electroweak baryogenesis at the LHC and a circular electron-positron collider journal, May 2016

Higgs windows to new physics through d = 6 operators: constraints and one-loop anomalous dimensions journal, November 2013

Standard model extended by a heavy singlet: Linear vs. nonlinear EFT journal, April 2017

Effective field theory and electroweak baryogenesis in the singlet-extended Standard Model journal, February 2016

Baryon washout, electroweak phase transition, and perturbation theory journal, July 2011

Sphalerons at finite mixing angle journal, October 1992

Exact computation of the small-fluctuation determinant around a sphaleron journal, September 1990

Weak scale baryogenesis journal, August 1990

Baryon asymmetry of the universe in standard electroweak theory journal, January 1987

The sphaleron strikes back: A response to objections to the sphaleron approximation journal, February 1988

On anomalous electroweak baryon-number non-conservation in the early universe journal, May 1985

Electroweak baryogenesis in the framework of the effective field theory journal, October 2015

The statistical theory of anomalous fermion number non-conservation journal, October 1988

The electroweak sphaleron at physical mixing angle journal, December 1991

Baryon-number dissipation at finite temperature in the standard model journal, December 1990

Nonperturbative methods and extended-hadron models in field theory. III. Four-dimensional non-Abelian models journal, December 1974

A saddle-point solution in the Weinberg-Salam theory journal, November 1984

Sphalerons in composite and nonstandard Higgs models journal, January 2017

Electroweak baryogenesis with anomalous Higgs couplings journal, April 2016

Baryogenesis at the weal phase transition journal, February 1991

Electroweak phase transition, critical bubbles, and sphaleron decoupling condition in the MSSM journal, June 2009

Electroweak Baryogenesis with Anomalous Higgs Couplings journal, January 2016

Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM text, January 2009

Baryon Washout, Electroweak Phase Transition, and Perturbation Theory text, January 2011

Higgs At Last text, January 2013

Effective Field Theory and Electroweak Baryogenesis in the Singlet-Extended Standard Model text, January 2015

Sphalerons in composite and non-standard Higgs models text, January 2016

First-Order Electroweak Phase Transition in the Standard Model with a Low Cutoff text, January 2004

Sphalerons at finite temperature text, January 1993

Electroweak bubbles and sphalerons text, January 1993

Effective Lagrangian Approach to Electroweak Baryogenesis: Higgs mass limit and Electric dipole moments of fermion text, January 1993

Probing baryogenesis through the Higgs boson self-coupling journal, April 2018

Higgs boson pair production at future hadron colliders: From kinematics to dynamics journal, June 2018

Probing baryogenesis through the Higgs boson self-coupling text, January 2018

Higgs Pair Production at Future Hadron Colliders: From Kinematics to Dynamics text, January 2018

Symmetry Breaking through Bell-Jackiw Anomalies
journal, July 1976

Topology in the Weinberg-Salam theory
journal, October 1983

Baryogenesis at the electroweak scale
journal, May 1992

Higgs at last
journal, November 2013

Baryon and lepton number violation rates across the electroweak crossover
journal, February 2006

What is the criterion for a strong first order electroweak phase transition in singlet models?
journal, April 2007

Improved sphaleron decoupling condition and the Higgs coupling constants in the real singlet-extended standard model
journal, July 2014

The sphaleron at finite mixing angle
journal, June 1992

Dynamics of non-renormalizable electroweak symmetry breaking
journal, April 2008

Electroweak bubbles and sphalerons
journal, October 1993

Static minimum-energy path from a vacuum to a sphaleron in the Weinberg-Salam model
journal, September 1988

Effective Lagrangian approach to electroweak baryogenesis: Higgs boson mass limit and electric dipole moments of fermions
journal, January 1994

Effective field theory, electric dipole moments and electroweak baryogenesis
journal, March 2017

Towards the ultimate SM fit to close in on Higgs physics
journal, January 2014

Structure of the high temperature gauge ground state and electroweak production of the baryon asymmetry
journal, April 1988

Sphalerons at Finite Temperature
journal, December 1993

Sphalerons, small fluctuations, and baryon-number violation in electroweak theory
journal, July 1987

First-order electroweak phase transition in the standard model with a low cutoff
journal, February 2005

Quasilinearization, difference approximation, and nonlinear boundary value problems
journal, May 1968

Testing the electroweak phase transition and electroweak baryogenesis at the LHC and a circular electron-positron collider
journal, May 2016

Higgs windows to new physics through d = 6 operators: constraints and one-loop anomalous dimensions
journal, November 2013

Standard model extended by a heavy singlet: Linear vs. nonlinear EFT
journal, April 2017

Effective field theory and electroweak baryogenesis in the singlet-extended Standard Model
journal, February 2016

Baryon washout, electroweak phase transition, and perturbation theory
journal, July 2011

Sphalerons at finite mixing angle
journal, October 1992

Exact computation of the small-fluctuation determinant around a sphaleron
journal, September 1990

Weak scale baryogenesis
journal, August 1990

Baryon asymmetry of the universe in standard electroweak theory
journal, January 1987

The sphaleron strikes back: A response to objections to the sphaleron approximation
journal, February 1988

On anomalous electroweak baryon-number non-conservation in the early universe
journal, May 1985

Electroweak baryogenesis in the framework of the effective field theory
journal, October 2015

The statistical theory of anomalous fermion number non-conservation
journal, October 1988

The electroweak sphaleron at physical mixing angle
journal, December 1991

Baryon-number dissipation at finite temperature in the standard model
journal, December 1990

Nonperturbative methods and extended-hadron models in field theory. III. Four-dimensional non-Abelian models
journal, December 1974

A saddle-point solution in the Weinberg-Salam theory
journal, November 1984

Sphalerons in composite and nonstandard Higgs models
journal, January 2017

Electroweak baryogenesis with anomalous Higgs couplings
journal, April 2016

Baryogenesis at the weal phase transition
journal, February 1991

Electroweak phase transition, critical bubbles, and sphaleron decoupling condition in the MSSM
journal, June 2009

Electroweak Baryogenesis with Anomalous Higgs Couplings
journal, January 2016

Electroweak phase transition, critical bubbles and sphaleron decoupling condition in the MSSM
text, January 2009

Baryon Washout, Electroweak Phase Transition, and Perturbation Theory
text, January 2011

Higgs At Last
text, January 2013

Effective Field Theory and Electroweak Baryogenesis in the Singlet-Extended Standard Model
text, January 2015

Sphalerons in composite and non-standard Higgs models
text, January 2016

First-Order Electroweak Phase Transition in the Standard Model with a Low Cutoff
text, January 2004

Sphalerons at finite temperature
text, January 1993

Electroweak bubbles and sphalerons
text, January 1993

Effective Lagrangian Approach to Electroweak Baryogenesis: Higgs mass limit and Electric dipole moments of fermion
text, January 1993

Probing baryogenesis through the Higgs boson self-coupling
journal, April 2018

Higgs boson pair production at future hadron colliders: From kinematics to dynamics
journal, June 2018

Probing baryogenesis through the Higgs boson self-coupling
text, January 2018

Higgs Pair Production at Future Hadron Colliders: From Kinematics to Dynamics
text, January 2018