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Title: One-loop matching and running with covariant derivative expansion

Abstract

We develop tools for performing effective field theory (EFT) calculations in a manifestly gauge-covariant fashion. We clarify how functional methods account for one-loop diagrams resulting from the exchange of both heavy and light fields, as some confusion has recently arisen in the literature. To efficiently evaluate functional traces containing these “mixed” one-loop terms, we develop a new covariant derivative expansion (CDE) technique that is capable of evaluating a much wider class of traces than previous methods. The technique is detailed in an appendix, so that it can be read independently from the rest of this work. We review the well-known matching procedure to one-loop order with functional methods. What we add to this story is showing how to isolate one-loop terms coming from diagrams involving only heavy propagators from diagrams with mixed heavy and light propagators. This is done using a non-local effective action, which physically connects to the notion of “integrating out” heavy fields. Lastly, we show how to use a CDE to do running analyses in EFTs, i.e. to obtain the anomalous dimension matrix. We demonstrate the methodologies by several explicit example calculations.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Yale Univ., New Haven, CT (United States). Dept. of Physics
  2. Univ. of California, Davis, CA (United States). Dept. of Physics
  3. Univ. of California, Berkeley, CA (United States). Dept. of Physics. Center for Japanese Studies; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group; Univ. of Tokyo, Kashiwa (Japan). Kavli Inst. for the Physics and Mathematics of the Universe (WPI). Todai Inst. for Advanced Study
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Japan Society for the Promotion of Science (JSPS); Ministry of Education, Culture, Sports, Science and Technology (MEXT) (Japan)
OSTI Identifier:
1435097
Grant/Contract Number:  
AC02-05CH11231; FG02-92ER40704; SC0009999; PHY-1316783; 26400241; 15H05887
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: 2018; Journal Issue: 1; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; gauge symmetry; renormalization group

Citation Formats

Henning, Brian, Lu, Xiaochuan, and Murayama, Hitoshi. One-loop matching and running with covariant derivative expansion. United States: N. p., 2018. Web. doi:10.1007/JHEP01(2018)123.
Henning, Brian, Lu, Xiaochuan, & Murayama, Hitoshi. One-loop matching and running with covariant derivative expansion. United States. doi:10.1007/JHEP01(2018)123.
Henning, Brian, Lu, Xiaochuan, and Murayama, Hitoshi. Wed . "One-loop matching and running with covariant derivative expansion". United States. doi:10.1007/JHEP01(2018)123. https://www.osti.gov/servlets/purl/1435097.
@article{osti_1435097,
title = {One-loop matching and running with covariant derivative expansion},
author = {Henning, Brian and Lu, Xiaochuan and Murayama, Hitoshi},
abstractNote = {We develop tools for performing effective field theory (EFT) calculations in a manifestly gauge-covariant fashion. We clarify how functional methods account for one-loop diagrams resulting from the exchange of both heavy and light fields, as some confusion has recently arisen in the literature. To efficiently evaluate functional traces containing these “mixed” one-loop terms, we develop a new covariant derivative expansion (CDE) technique that is capable of evaluating a much wider class of traces than previous methods. The technique is detailed in an appendix, so that it can be read independently from the rest of this work. We review the well-known matching procedure to one-loop order with functional methods. What we add to this story is showing how to isolate one-loop terms coming from diagrams involving only heavy propagators from diagrams with mixed heavy and light propagators. This is done using a non-local effective action, which physically connects to the notion of “integrating out” heavy fields. Lastly, we show how to use a CDE to do running analyses in EFTs, i.e. to obtain the anomalous dimension matrix. We demonstrate the methodologies by several explicit example calculations.},
doi = {10.1007/JHEP01(2018)123},
journal = {Journal of High Energy Physics (Online)},
number = 1,
volume = 2018,
place = {United States},
year = {2018},
month = {1}
}

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Cited by: 12 works
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Works referenced in this record:

Extending the Universal One-Loop Effective Action: heavy-light coefficients
journal, August 2017

  • Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong
  • Journal of High Energy Physics, Vol. 2017, Issue 8
  • DOI: 10.1007/JHEP08(2017)054

On one-loop corrections in the standard model effective field theory; the Γ(h → γγ) case
journal, July 2015

  • Hartmann, Christine; Trott, Michael
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)151

Covariant diagrams for one-loop matching
journal, May 2017


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

The universal one-loop effective action
journal, March 2016

  • Drozd, Aleksandra; Ellis, John; Quevillon, Jérémie
  • Journal of High Energy Physics, Vol. 2016, Issue 3
  • DOI: 10.1007/JHEP03(2016)180

Short distance analysis of weak interactions
journal, April 1977


Probing top quark neutral couplings in the Standard Model Effective Field Theory at NLO in QCD
journal, May 2016

  • Bylund, Olga Bessidskaia; Maltoni, Fabio; Tsinikos, Ioannis
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)052

NLO Higgs effective field theory and κ-framework
journal, July 2015

  • Ghezzi, Margherita; Gomez-Ambrosio, Raquel; Passarino, Giampiero
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)175

A Bayesian view of the Higgs sector with higher dimensional operators
journal, July 2013

  • Dumont, Beranger; Fichet, Sylvain; von Gersdorff, Gero
  • Journal of High Energy Physics, Vol. 2013, Issue 7
  • DOI: 10.1007/JHEP07(2013)065

Electroweak effective operators and Higgs physics
journal, January 2014


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


Effective field theory approach to top-quark decay at next-to-leading order in QCD
journal, July 2014


Heavy quark contributions to deep inelastic scattering
journal, March 1976


Renormalization group scaling of Higgs operators and h → γγ decay
journal, April 2013

  • Grojean, Christophe; Jenkins, Elizabeth E.; Manohar, Aneesh V.
  • Journal of High Energy Physics, Vol. 2013, Issue 4
  • DOI: 10.1007/JHEP04(2013)016

On-shell effective field theory
journal, September 1991


One-loop effective lagrangians after matching
journal, April 2016


How to use the Standard Model effective field theory
journal, January 2016

  • Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)023

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


Low energy behaviour of standard model extensions
journal, May 2016

  • Boggia, Michele; Gomez-Ambrosio, Raquel; Passarino, Giampiero
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)162

Comparing EFT and exact one-loop analyses of non-degenerate stops
journal, June 2015

  • Drozd, Aleksandra; Ellis, John; Quevillon, Jérémie
  • Journal of High Energy Physics, Vol. 2015, Issue 6
  • DOI: 10.1007/JHEP06(2015)028

Integrating out heavy particles with functional methods: a simplified framework
journal, September 2016

  • Fuentes-Martín, Javier; Portolés, Jorge; Ruiz-Femenía, Pedro
  • Journal of High Energy Physics, Vol. 2016, Issue 9
  • DOI: 10.1007/JHEP09(2016)156

Higher order QCD predictions for associated Higgs production with anomalous couplings to gauge bosons
journal, August 2016

  • Mimasu, Ken; Sanz, Verónica; Williams, Ciaran
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)039

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

The one-loop functional as a Berezinian
journal, October 1998


Thoughts on effective field theory
journal, December 1992


The effective one-loop scalar lagrangian with derivative couplings
journal, May 1986


Standard model effective field theory: integrating out vector-like fermions
journal, September 2015


Renormalization of dimension-six operators relevant for the Higgs decays h → γγ, γZ
journal, August 2013

  • Elias-Miró, J.; Espinosa, J. R.; Masso, E.
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)033

NLO QCD corrections to Higgs pair production including dimension-6 operators
journal, September 2015

  • Gröber, R.; Mühlleitner, M.; Spira, M.
  • Journal of High Energy Physics, Vol. 2015, Issue 9
  • DOI: 10.1007/JHEP09(2015)092

One-loop effective lagrangian for an extension of the standard model with a heavy charged scalar singlet
journal, May 1994


Single Top Production at Next-to-Leading Order in the Standard Model Effective Field Theory
journal, April 2016


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


Effective action for the standard model with large Higgs mass
journal, February 1988