Custodial symmetry violation in the SMEFT

Kribs, Graham D.; Lu, Xiaochuan; Martin, Adam; Tong, Tom

doi:10.1103/PhysRevD.104.056006

Title: Custodial symmetry violation in the SMEFT

Abstract

We investigate precision observables sensitive to custodial symmetric/violating UV physics beyond the Standard Model. We use the SMEFT framework which in general includes non-oblique corrections that requires a generalization of the Peskin-Takeuchi T parameter to unambiguously detect custodial symmetry/violation. We take a first step towards constructing a SMEFT reparameterization-invariant replacement, that we call T, valid at least for tree-level custodial violating contributions. We utilize a new custodial basis of νSMEFT (SMEFT augmented by right-handed neutrinos) which explicitly identifies the global SU(2)R symmetries of the Higgs and fermion sectors, that in turn permits easy identification of higher-dimensional operators that are custodial preserving or violating. We carefully consider equation-of-motion redundancies that cause custodial symmetric operators in one basis to be equivalent to a set of custodial symmetric and/or violating operators in another basis. Utilizing known results about tree/loop operator generation, we demonstrate that the basis-dependent appearance of custodial-violating operators does not invalidate our T parameter at tree-level. We illustrate our results with several UV theory examples, demonstrating that T faithfully identifies custodial symmetry violation, while T can fail.

Authors:

;

; Martin, Adam;

Publication Date:: Tue Sep 07 00:00:00 EDT 2021

Research Org.:: Univ. of Oregon, Eugene, OR (United States)

Sponsoring Org.:: USDOE; National Science Foundation (NSF)

OSTI Identifier:: 1819224

Alternate Identifier(s):: OSTI ID: 1819365; OSTI ID: 1833370

Grant/Contract Number:: SC0011640; PHY-1820860

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; branching fraction; effective field theory; particle interactions; symmetries

Citation Formats


                    Kribs, Graham D., Lu, Xiaochuan, Martin, Adam, and Tong, Tom. Custodial symmetry violation in the SMEFT.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.104.056006.

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                    Kribs, Graham D., Lu, Xiaochuan, Martin, Adam, & Tong, Tom. Custodial symmetry violation in the SMEFT.  United States.  https://doi.org/10.1103/PhysRevD.104.056006

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                    Kribs, Graham D., Lu, Xiaochuan, Martin, Adam, and Tong, Tom. Tue .  
"Custodial symmetry violation in the SMEFT".  United States.  https://doi.org/10.1103/PhysRevD.104.056006.

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@article{osti_1819224,

  title        = {Custodial symmetry violation in the SMEFT},

  author       = {Kribs, Graham D. and Lu, Xiaochuan and Martin, Adam and Tong, Tom},

  abstractNote = {We investigate precision observables sensitive to custodial symmetric/violating UV physics beyond the Standard Model. We use the SMEFT framework which in general includes non-oblique corrections that requires a generalization of the Peskin-Takeuchi T parameter to unambiguously detect custodial symmetry/violation. We take a first step towards constructing a SMEFT reparameterization-invariant replacement, that we call T, valid at least for tree-level custodial violating contributions. We utilize a new custodial basis of νSMEFT (SMEFT augmented by right-handed neutrinos) which explicitly identifies the global SU(2)R symmetries of the Higgs and fermion sectors, that in turn permits easy identification of higher-dimensional operators that are custodial preserving or violating. We carefully consider equation-of-motion redundancies that cause custodial symmetric operators in one basis to be equivalent to a set of custodial symmetric and/or violating operators in another basis. Utilizing known results about tree/loop operator generation, we demonstrate that the basis-dependent appearance of custodial-violating operators does not invalidate our T parameter at tree-level. We illustrate our results with several UV theory examples, demonstrating that T faithfully identifies custodial symmetry violation, while T can fail.},

  doi          = {10.1103/PhysRevD.104.056006},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 104,

  place        = {United States},

  year         = {Tue Sep 07 00:00:00 EDT 2021},

  month        = {Tue Sep 07 00:00:00 EDT 2021}

}

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Electroweak measurements in electron–positron collisions at W-boson-pair energies at LEP
journal, August 2013

ALEPH Collaboration,
Physics Reports, Vol. 532, Issue 4, p. 119-244
DOI: 10.1016/j.physrep.2013.07.004

Global electroweak fit and vector-like leptons in light of the Cabibbo angle anomaly
journal, December 2020

Crivellin, Andreas; Kirk, Fiona; Manzari, Claudio Andrea
Journal of High Energy Physics, Vol. 2020, Issue 12
DOI: 10.1007/JHEP12(2020)166

Extending the standard model effective field theory with the complete set of dimension-7 operators
journal, December 2014

Lehman, Landon
Physical Review D, Vol. 90, Issue 12
DOI: 10.1103/PhysRevD.90.125023

Big corrections from a little Higgs
journal, June 2003

Csáki, Csaba; Hubisz, Jay; Kribs, Graham D.
Physical Review D, Vol. 67, Issue 11
DOI: 10.1103/PhysRevD.67.115002

A global fit to extended oblique parameters
journal, May 1994

Burgess, C. P.; Godfrey, Stephen; König, Heinz
Physics Letters B, Vol. 326, Issue 3-4
DOI: 10.1016/0370-2693(94)91322-6

A General Treatment of Oblique Parameters
journal, March 1997

Kundu, Anirban; Roy, Probir
International Journal of Modern Physics A, Vol. 12, Issue 08
DOI: 10.1142/S0217751X97001079

On the consistent use of constructed observables
journal, February 2015

Trott, Michael
Journal of High Energy Physics, Vol. 2015, Issue 2
DOI: 10.1007/JHEP02(2015)046

Dark matter from the supersymmetric custodial triplet model
journal, July 2015

Delgado, Antonio; Garcia-Pepin, Mateo; Ostdiek, Bryan
Physical Review D, Vol. 92, Issue 1
DOI: 10.1103/PhysRevD.92.015011

Effective theories of dark mesons with custodial symmetry
journal, August 2019

Kribs, Graham D.; Martin, Adam; Tong, Tom
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/JHEP08(2019)020

Strong dynamics and electroweak symmetry breaking
journal, July 2003

Hill, Christopher T.; Simmons, Elizabeth H.
Physics Reports, Vol. 381, Issue 4-6
DOI: 10.1016/S0370-1573(03)00140-6

Addendum to: Scheming in the SMEFT. . . and a reparameterization invariance!
journal, May 2018

Brivio, Ilaria; Trott, Michael
Journal of High Energy Physics, Vol. 2018, Issue 5
DOI: 10.1007/JHEP05(2018)136

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

Henning, Brian; Lu, Xiaochuan; Melia, Tom
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)199

Operators up to dimension seven in standard model effective field theory extended with sterile neutrinos
journal, July 2017

Liao, Yi; Ma, Xiao-Dong
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.015012

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012

Chatrchyan, S.; Khachatryan, V.; Sirunyan, A. M.
Physics Letters B, Vol. 716, Issue 1
DOI: 10.1016/j.physletb.2012.08.021

A custodial symmetry for <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>Z</mml:mi><mml:mi>b</mml:mi><mml:mover accent="true"><mml:mi>b</mml:mi><mml:mo>¯</mml:mo></mml:mover></mml:math>
journal, September 2006

Agashe, Kaustubh; Contino, Roberto; Da Rold, Leandro
Physics Letters B, Vol. 641, Issue 1
DOI: 10.1016/j.physletb.2006.08.005

NLO effects in EFT fits to $W^{+} W^{-}$ production at the LHC
journal, February 2019

Baglio, Julien; Dawson, Sally; Lewis, Ian M.
Physical Review D, Vol. 99, Issue 3
DOI: 10.1103/PhysRevD.99.035029

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

Lehman, Landon; Martin, Adam
Physical Review D, Vol. 91, Issue 10
DOI: 10.1103/PhysRevD.91.105014

Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012

Aad, G.; Abajyan, T.; Abbott, B.
Physics Letters B, Vol. 716, Issue 1
DOI: 10.1016/j.physletb.2012.08.020

A ``littlest Higgs'' model with custodial SU(2) symmetry
journal, December 2003

Chang, Spencer
Journal of High Energy Physics, Vol. 2003, Issue 12
DOI: 10.1088/1126-6708/2003/12/057

Hilbert series for flavor invariants of the Standard Model
journal, March 2011

Hanany, Amihay; Jenkins, Elizabeth E.; Manohar, Aneesh V.
Journal of High Energy Physics, Vol. 2011, Issue 3
DOI: 10.1007/JHEP03(2011)096

The minimal composite Higgs model
journal, July 2005

Agashe, Kaustubh; Contino, Roberto; Pomarol, Alex
Nuclear Physics B, Vol. 719, Issue 1-2
DOI: 10.1016/j.nuclphysb.2005.04.035

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

Henning, Brian; Lu, Xiaochuan; Melia, Tom
Communications in Mathematical Physics, Vol. 347, Issue 2
DOI: 10.1007/s00220-015-2518-2

Effective theories of universal theories
journal, January 2016

Wells, James D.; Zhang, Zhengkang
Journal of High Energy Physics, Vol. 2016, Issue 1
DOI: 10.1007/JHEP01(2016)123

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

Alonso, Rodrigo; Jenkins, Elizabeth E.; Manohar, Aneesh V.
Journal of High Energy Physics, Vol. 2014, Issue 4
DOI: 10.1007/JHEP04(2014)159

Electroweak corrections from triplet scalars
journal, July 2012

Khandker, Zuhair U.; Li, Daliang; Skiba, Witold
Physical Review D, Vol. 86, Issue 1
DOI: 10.1103/PhysRevD.86.015006

TeV symmetry and the little hierarchy problem
journal, September 2003

Cheng, Hsin-Chia; Low, Ian
Journal of High Energy Physics, Vol. 2003, Issue 09
DOI: 10.1088/1126-6708/2003/09/051

Effects of new leptons in electroweak precision data
journal, July 2008

del Aguila, F.; de Blas, J.; Pérez-Victoria, M.
Physical Review D, Vol. 78, Issue 1
DOI: 10.1103/PhysRevD.78.013010

Limit on mass differences in the Weinberg model
journal, May 1977

Veltman, M.
Nuclear Physics B, Vol. 123, Issue 1
DOI: 10.1016/0550-3213(77)90342-X

Unbroken B – L symmetry
journal, December 2014

Heeck, Julian
Physics Letters B, Vol. 739
DOI: 10.1016/j.physletb.2014.10.067

Beyond S , T , and U
journal, July 1994

Maksymyk, Ivan; Burgess, C. P.; London, David
Physical Review D, Vol. 50, Issue 1
DOI: 10.1103/PhysRevD.50.529

Baryon- and Lepton-Nonconserving Processes
journal, November 1979

Weinberg, Steven
Physical Review Letters, Vol. 43, Issue 21
DOI: 10.1103/PhysRevLett.43.1566

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

Henning, Brian; Lu, Xiaochuan; Melia, Tom
Journal of High Energy Physics, Vol. 2017, Issue 8
DOI: 10.1007/JHEP08(2017)016

Standard Model Effective Field Theory: integrating out a generic scalar
journal, September 2015

Chiang, Cheng-Wei; Huo, Ran
Journal of High Energy Physics, Vol. 2015, Issue 9
DOI: 10.1007/JHEP09(2015)152

Composite Higgs and custodial SU(2)
journal, September 1984

Georgi, Howard; Kaplan, David B.
Physics Letters B, Vol. 145, Issue 3-4
DOI: 10.1016/0370-2693(84)90341-1

Electroweak symmetry breaking after LEP1 and LEP2
journal, December 2004

Barbieri, Riccardo; Pomarol, Alex; Rattazzi, Riccardo
Nuclear Physics B, Vol. 703, Issue 1-2
DOI: 10.1016/j.nuclphysb.2004.10.014

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

Jenkins, Elizabeth E.; Manohar, Aneesh V.; Trott, Michael
Journal of High Energy Physics, Vol. 2013, Issue 10
DOI: 10.1007/JHEP10(2013)087

Erratum to: 2, 84, 30, 993, 560, 15456, 11962, 261485, …: higher dimension operators in the SM EFT
journal, September 2019

Henning, Brian; Lu, Xiaochuan; Melia, Tom
Journal of High Energy Physics, Vol. 2019, Issue 9
DOI: 10.1007/JHEP09(2019)019

Renormalization group evolution of the universal theories EFT
journal, June 2016

Wells, James D.; Zhang, Zhengkang
Journal of High Energy Physics, Vol. 2016, Issue 6
DOI: 10.1007/JHEP06(2016)122

Review of Particle Physics
journal, August 2020

Zyla, P. A.; Barnett, R. M.; Beringer, J.
Progress of Theoretical and Experimental Physics, Vol. 2020, Issue 8
DOI: 10.1093/ptep/ptaa104

The bases of effective field theories
journal, November 2013

Einhorn, Martin B.; Wudka, José
Nuclear Physics B, Vol. 876, Issue 2
DOI: 10.1016/j.nuclphysb.2013.08.023

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

Buchmüller, W.; Wyler, D.
Nuclear Physics B, Vol. 268, Issue 3-4
DOI: 10.1016/0550-3213(86)90262-2

Standard model EFT and extended scalar sectors
journal, July 2017

Dawson, Sally; Murphy, Christopher W.
Physical Review D, Vol. 96, Issue 1
DOI: 10.1103/PhysRevD.96.015041

Singlet night in Feynman-ville: one-loop matching of a real scalar
journal, April 2020

Haisch, Ulrich; Ruhdorfer, Maximilian; Salvioni, Ennio
Journal of High Energy Physics, Vol. 2020, Issue 4
DOI: 10.1007/JHEP04(2020)164

Anatomy of a composite Higgs model
journal, January 1985

Dugan, Michael J.; Georgi, Howard; Kaplan, David B.
Nuclear Physics B, Vol. 254
DOI: 10.1016/0550-3213(85)90221-4

Isospin breaking in technicolor models
journal, October 1980

Sikivie, P.; Susskind, L.; Voloshin, M.
Nuclear Physics B, Vol. 173, Issue 2
DOI: 10.1016/0550-3213(80)90214-X

Scaling and tuning of EW and Higgs observables
journal, May 2014

Elias-Miró, Joan; Grojean, Christophe; Gupta, Rick S.
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/JHEP05(2014)019

Mixed heavy–light matching in the Universal One-Loop Effective Action
journal, November 2016

Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong
Physics Letters B, Vol. 762
DOI: 10.1016/j.physletb.2016.09.016

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

Elias-Miró, J.; Espinosa, J. R.; Masso, E.
Journal of High Energy Physics, Vol. 2013, Issue 11
DOI: 10.1007/JHEP11(2013)066

Complete one-loop matching for a singlet scalar in the Standard Model EFT
journal, February 2019

Jiang, Minyuan; Craig, Nathaniel; Li, Ying-Ying
Journal of High Energy Physics, Vol. 2019, Issue 2
DOI: 10.1007/JHEP02(2019)031

Review Article
journal, May 2006

Unknown,
Physics Reports, Vol. 427, Issue 5-6
DOI: 10.1016/S0370-1573(05)00511-9

Varieties of baryon and lepton nonconservation
journal, October 1980

Weinberg, Steven
Physical Review D, Vol. 22, Issue 7
DOI: 10.1103/PhysRevD.22.1694

Patterns of deviation from the standard model
journal, January 1995

Arzt, C.; Einhorn, M. B.; Wudka, J.
Nuclear Physics B, Vol. 433, Issue 1
DOI: 10.1016/0550-3213(94)00336-D

Constraining the littlest Higgs
journal, October 2003

Hewett, JoAnne L.; Petriello, Frank J.; Rizzo, Thomas G.
Journal of High Energy Physics, Vol. 2003, Issue 10
DOI: 10.1088/1126-6708/2003/10/062

Minimal flavour violation: an effective field theory approach
journal, November 2002

D'Ambrosio, G.; Giudice, G. F.; Isidori, G.
Nuclear Physics B, Vol. 645, Issue 1-2
DOI: 10.1016/S0550-3213(02)00836-2

The strongly-interacting light Higgs
journal, June 2007

Giudice, Gian Francesco; Grojean, Christophe; Pomarol, Alex
Journal of High Energy Physics, Vol. 2007, Issue 06
DOI: 10.1088/1126-6708/2007/06/045

One-loop radiative corrections to the $ρ$ parameter in the littlest Higgs model
journal, July 2004

Chen, Mu-Chun; Dawson, Sally
Physical Review D, Vol. 70, Issue 1
DOI: 10.1103/PhysRevD.70.015003

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
DOI: 10.1007/JHEP10(2010)085

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

Lehman, Landon; Martin, Adam
Journal of High Energy Physics, Vol. 2016, Issue 2
DOI: 10.1007/JHEP02(2016)081

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

Jenkins, Elizabeth E.; Manohar, Aneesh V.; Trott, Michael
Journal of High Energy Physics, Vol. 2014, Issue 1
DOI: 10.1007/JHEP01(2014)035

..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... efficient Hilbert series for effective theories
journal, September 2020

Marinissen, Coenraad B.; Rahn, Rudi; Waalewijn, Wouter J.
Physics Letters B, Vol. 808
DOI: 10.1016/j.physletb.2020.135632

Estimation of oblique electroweak corrections
journal, July 1992

Peskin, Michael E.; Takeuchi, Tatsu
Physical Review D, Vol. 46, Issue 1
DOI: 10.1103/PhysRevD.46.381

The standard model as an effective field theory
journal, February 2019

Brivio, Ilaria; Trott, Michael
Physics Reports, Vol. 793
DOI: 10.1016/j.physrep.2018.11.002

Scheming in the SMEFT. . . and a reparameterization invariance!
journal, July 2017

Brivio, Ilaria; Trott, Michael
Journal of High Energy Physics, Vol. 2017, Issue 7
DOI: 10.1007/JHEP07(2017)148

Observable contributions of new exotic quarks to quark mixing
journal, September 2000

Aguila, Francisco del; Santiago, José; Pérez-Victoria, Manolo
Journal of High Energy Physics, Vol. 2000, Issue 09
DOI: 10.1088/1126-6708/2000/09/011

Erratum to “Strong dynamics and electroweak symmetry breaking” [Phys. Rep. 381 (2003) 235–402]
journal, February 2004

Hill, Christopher T.; Simmons, Elizabeth H.
Physics Reports, Vol. 390, Issue 6
DOI: 10.1016/j.physrep.2003.10.002

Algebraic structure of lepton and quark flavor invariants and CP violation
journal, October 2009

Jenkins, Elizabeth E.; Manohar, Aneesh V.
Journal of High Energy Physics, Vol. 2009, Issue 10
DOI: 10.1088/1126-6708/2009/10/094

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Title: Custodial symmetry violation in the SMEFT

Abstract

Citation Formats

Electroweak measurements in electron–positron collisions at W-boson-pair energies at LEP journal, August 2013

Global electroweak fit and vector-like leptons in light of the Cabibbo angle anomaly journal, December 2020

Extending the standard model effective field theory with the complete set of dimension-7 operators journal, December 2014

Big corrections from a little Higgs journal, June 2003

A global fit to extended oblique parameters journal, May 1994

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On the consistent use of constructed observables journal, February 2015

Dark matter from the supersymmetric custodial triplet model journal, July 2015

Effective theories of dark mesons with custodial symmetry journal, August 2019

Strong dynamics and electroweak symmetry breaking journal, July 2003

Addendum to: Scheming in the SMEFT. . . and a reparameterization invariance! journal, May 2018

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Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC journal, September 2012

NLO effects in EFT fits to W + W − production at the LHC journal, February 2019

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Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC journal, September 2012

A ``littlest Higgs'' model with custodial SU(2) symmetry journal, December 2003

Hilbert series for flavor invariants of the Standard Model journal, March 2011

The minimal composite Higgs model journal, July 2005

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

Effective theories of universal theories journal, January 2016

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

Electroweak corrections from triplet scalars journal, July 2012

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Beyond S , T , and U journal, July 1994

Baryon- and Lepton-Nonconserving Processes journal, November 1979

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

Standard Model Effective Field Theory: integrating out a generic scalar journal, September 2015

Composite Higgs and custodial SU(2) journal, September 1984

Electroweak symmetry breaking after LEP1 and LEP2 journal, December 2004

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

Erratum to: 2, 84, 30, 993, 560, 15456, 11962, 261485, …: higher dimension operators in the SM EFT journal, September 2019

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Singlet night in Feynman-ville: one-loop matching of a real scalar journal, April 2020

Anatomy of a composite Higgs model journal, January 1985

Isospin breaking in technicolor models journal, October 1980

Scaling and tuning of EW and Higgs observables journal, May 2014

Mixed heavy–light matching in the Universal One-Loop Effective Action journal, November 2016

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

Complete one-loop matching for a singlet scalar in the Standard Model EFT journal, February 2019

Review Article journal, May 2006

Varieties of baryon and lepton nonconservation journal, October 1980

Patterns of deviation from the standard model journal, January 1995

Constraining the littlest Higgs journal, October 2003

Minimal flavour violation: an effective field theory approach journal, November 2002

The strongly-interacting light Higgs journal, June 2007

One-loop radiative corrections to the ρ parameter in the littlest Higgs model journal, July 2004

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

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

..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... efficient Hilbert series for effective theories journal, September 2020

Estimation of oblique electroweak corrections journal, July 1992

The standard model as an effective field theory journal, February 2019

Scheming in the SMEFT. . . and a reparameterization invariance! journal, July 2017

Observable contributions of new exotic quarks to quark mixing journal, September 2000

Erratum to “Strong dynamics and electroweak symmetry breaking” [Phys. Rep. 381 (2003) 235–402] journal, February 2004

Algebraic structure of lepton and quark flavor invariants and CP violation journal, October 2009

Electroweak measurements in electron–positron collisions at W-boson-pair energies at LEP
journal, August 2013

Global electroweak fit and vector-like leptons in light of the Cabibbo angle anomaly
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Extending the standard model effective field theory with the complete set of dimension-7 operators
journal, December 2014

Big corrections from a little Higgs
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A global fit to extended oblique parameters
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A General Treatment of Oblique Parameters
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On the consistent use of constructed observables
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Dark matter from the supersymmetric custodial triplet model
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Effective theories of dark mesons with custodial symmetry
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Strong dynamics and electroweak symmetry breaking
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Addendum to: Scheming in the SMEFT. . . and a reparameterization invariance!
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Operator bases, S-matrices, and their partition functions
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Operators up to dimension seven in standard model effective field theory extended with sterile neutrinos
journal, July 2017

Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
journal, September 2012

NLO effects in EFT fits to $W^{+} W^{-}$ production at the LHC
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Hilbert series for constructing Lagrangians: Expanding the phenomenologist’s toolbox
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Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
journal, September 2012

A ``littlest Higgs'' model with custodial SU(2) symmetry
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Hilbert series for flavor invariants of the Standard Model
journal, March 2011

The minimal composite Higgs model
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Hilbert series and operator bases with derivatives in effective field theories
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Effective theories of universal theories
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Renormalization group evolution of the Standard Model dimension six operators III: gauge coupling dependence and phenomenology
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Electroweak corrections from triplet scalars
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TeV symmetry and the little hierarchy problem
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Effects of new leptons in electroweak precision data
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Limit on mass differences in the Weinberg model
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Unbroken B – L symmetry
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Beyond S , T , and U
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Baryon- and Lepton-Nonconserving Processes
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2, 84, 30, 993, 560, 15456, 11962, 261485, . . .: higher dimension operators in the SM EFT
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Standard Model Effective Field Theory: integrating out a generic scalar
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Composite Higgs and custodial SU(2)
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Electroweak symmetry breaking after LEP1 and LEP2
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Renormalization group evolution of the standard model dimension six operators. I: formalism and λ dependence
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Erratum to: 2, 84, 30, 993, 560, 15456, 11962, 261485, …: higher dimension operators in the SM EFT
journal, September 2019

Renormalization group evolution of the universal theories EFT
journal, June 2016

Review of Particle Physics
journal, August 2020

The bases of effective field theories
journal, November 2013

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

Standard model EFT and extended scalar sectors
journal, July 2017

Singlet night in Feynman-ville: one-loop matching of a real scalar
journal, April 2020

Anatomy of a composite Higgs model
journal, January 1985

Isospin breaking in technicolor models
journal, October 1980

Scaling and tuning of EW and Higgs observables
journal, May 2014

Mixed heavy–light matching in the Universal One-Loop Effective Action
journal, November 2016

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

Complete one-loop matching for a singlet scalar in the Standard Model EFT
journal, February 2019

Review Article
journal, May 2006

Varieties of baryon and lepton nonconservation
journal, October 1980

Patterns of deviation from the standard model
journal, January 1995

Constraining the littlest Higgs
journal, October 2003

Minimal flavour violation: an effective field theory approach
journal, November 2002

The strongly-interacting light Higgs
journal, June 2007

One-loop radiative corrections to the $ρ$ parameter in the littlest Higgs model
journal, July 2004

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

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

..., 83106786, 114382724, 1509048322, 2343463290, 27410087742, ... efficient Hilbert series for effective theories
journal, September 2020

Estimation of oblique electroweak corrections
journal, July 1992

The standard model as an effective field theory
journal, February 2019

Scheming in the SMEFT. . . and a reparameterization invariance!
journal, July 2017

Observable contributions of new exotic quarks to quark mixing
journal, September 2000

Erratum to “Strong dynamics and electroweak symmetry breaking” [Phys. Rep. 381 (2003) 235–402]
journal, February 2004

Algebraic structure of lepton and quark flavor invariants and CP violation
journal, October 2009