Covariant diagrams for one-loop matching

Zhang, Zhengkang

doi:10.1007/JHEP05(2017)152

Title: Covariant diagrams for one-loop matching

Journal Article · Tue May 30 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP05(2017)152· OSTI ID:1389267

Zhang, Zhengkang ^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics (MCTP); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)

Here, we present a diagrammatic formulation of recently-revived covariant functional approaches to one-loop matching from an ultraviolet (UV) theory to a low-energy effective field theory. Various terms following from a covariant derivative expansion (CDE) are represented by diagrams which, unlike conventional Feynman diagrams, involve gauge-covariant quantities and are thus dubbed "covariant diagrams." The use of covariant diagrams helps organize and simplify one-loop matching calculations, which we illustrate with examples. Of particular interest is the derivation of UV model-independent universal results, which reduce matching calculations of specific UV models to applications of master formulas. We also show how such derivation can be done in a more concise manner than the previous literature, and discuss how additional structures that are not directly captured by existing universal results, including mixed heavy-light loops, open covariant derivatives, and mixed statistics, can be easily accounted for.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0007859

OSTI ID:: 1389267

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 5; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 61 works

Citation information provided by
Web of Science

References (23)

One-loop effective lagrangians after matching del Aguila, F.; Kunszt, Z.; Santiago, J. The European Physical Journal C, Vol. 76, Issue 5 https://doi.org/10.1140/epjc/s10052-016-4081-1	journal	April 2016
Derivative Expansion for the One-Loop Effective Actions with Internal Symmetry Chan, Lai-Him Physical Review Letters, Vol. 57, Issue 10 https://doi.org/10.1103/PhysRevLett.57.1199	journal	September 1986
The universal one-loop effective action Drozd, Aleksandra; Ellis, John; Quevillon, Jérémie Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)180	journal	March 2016
Foundation and generalization of the expansion by regions Jantzen, Bernd Journal of High Energy Physics, Vol. 2011, Issue 12 https://doi.org/10.1007/JHEP12(2011)076	journal	December 2011
How to use the Standard Model effective field theory Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)023	journal	January 2016
Low energy behaviour of standard model extensions Boggia, Michele; Gomez-Ambrosio, Raquel; Passarino, Giampiero Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)162	journal	May 2016
Integrating out heavy particles with functional methods: a simplified framework Fuentes-Martín, Javier; Portolés, Jorge; Ruiz-Femenía, Pedro Journal of High Energy Physics, Vol. 2016, Issue 9 https://doi.org/10.1007/JHEP09(2016)156	journal	September 2016
Integrating out the standard Higgs field in the path integral Dittmaier, Stegan; Grosse-Knetter, Carsten Nuclear Physics B, Vol. 459, Issue 3 https://doi.org/10.1016/0550-3213(95)00551-X	journal	January 1996
Asymptotic expansion of Feynman integrals near threshold Beneke, M.; Smirnov, V. A. Nuclear Physics B, Vol. 522, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00138-2	journal	June 1998
The effective one-loop scalar lagrangian with derivative couplings Gaillard, Mary K. Nuclear Physics B, Vol. 268, Issue 3-4 https://doi.org/10.1016/0550-3213(86)90264-6	journal	May 1986
Standard model effective field theory: integrating out vector-like fermions Huo, Ran Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)037	journal	September 2015
Mixed heavy–light matching in the Universal One-Loop Effective Action Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong Physics Letters B, Vol. 762 https://doi.org/10.1016/j.physletb.2016.09.016	journal	November 2016
One-loop effective lagrangian for an extension of the standard model with a heavy charged scalar singlet Bilenky, Mikhail; Santamaria, Arcadi Nuclear Physics B, Vol. 420, Issue 1-2 https://doi.org/10.1016/0550-3213(94)90375-1	journal	May 1994
Standard Model Effective Field Theory: integrating out a generic scalar Chiang, Cheng-Wei; Huo, Ran Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)152	journal	September 2015
Effective action for the standard model with large Higgs mass Cheyette, Oren Nuclear Physics B, Vol. 297, Issue 1 https://doi.org/10.1016/0550-3213(88)90205-2	journal	February 1988
One-loop effective lagrangians after matching Del Águila, Francisco; Kunszt, Zoltan; Santiago, José ETH Zurich https://doi.org/10.3929/ethz-b-000121655	text	January 2016
How to use the Standard Model effective field theory Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi arXiv https://doi.org/10.48550/arxiv.1412.1837	preprint	January 2014
Standard Model Effective Field Theory: Integrating out a Generic Scalar Chiang, Cheng-Wei; Huo, Ran arXiv https://doi.org/10.48550/arxiv.1505.06334	text	January 2015
The Universal One-Loop Effective Action Drozd, Aleksandra; Ellis, John; Quevillon, Jérémie arXiv https://doi.org/10.48550/arxiv.1512.03003	text	January 2015
One-loop effective lagrangians after matching del Aguila, Francisco; Kunszt, Zoltan; Santiago, Jose arXiv https://doi.org/10.48550/arxiv.1602.00126	text	January 2016
Low energy behaviour of standard model extensions Boggia, Michele; Gomez-Ambrosio, Raquel; Passarino, Giampiero arXiv https://doi.org/10.48550/arxiv.1603.03660	preprint	January 2016
Mixed Heavy-Light Matching in the Universal One-Loop Effective Action Ellis, Sebastian A. R.; Quevillon, Jeremie; You, Tevong arXiv https://doi.org/10.48550/arxiv.1604.02445	text	January 2016
Integrating out heavy particles with functional methods: a simplified framework Fuentes-Martin, Javier; Portoles, Jorge; Ruiz-Femenia, Pedro arXiv https://doi.org/10.48550/arxiv.1607.02142	text	January 2016

Cited By (14)

Hilbert series and plethystics: paving the path towards 2HDM- and MLRSM-EFT Journal of High Energy Physics, Vol. 2019, Issue 9 https://doi.org/10.1007/jhep09(2019)035	journal	September 2019
Standard model parameters in the tadpole-free pure $\bar{MS}$ scheme Martin, Stephen P.; Robertson, David G. Physical Review D, Vol. 100, Issue 7 https://doi.org/10.1103/physrevd.100.073004	journal	October 2019
Effective action for gauge bosons Quevillon, Jérémie; Smith, Christopher; Touati, Selim Physical Review D, Vol. 99, Issue 1 https://doi.org/10.1103/physrevd.99.013003	journal	January 2019
Extending the universal one-loop effective action by regularization scheme translating operators Summ, Benjamin; Voigt, Alexander RWTH Aachen University https://doi.org/10.18154/rwth-2018-227566	text	January 2018
On the future of Higgs, electroweak and diboson measurements at lepton colliders De Blas, Jorge; Durieux, Gauthier; Grojean, Christophe Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-05665	text	January 2019
HEPfit: a Code for the Combination of Indirect and Direct Constraints on High Energy Physics Models De Blas, J.; Chowdhury, D.; Ciuchini, M. Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2020-02403	text	January 2020
HEPfit: a code for the combination of indirect and direct constraints on high energy physics models de Blas, J.; Chowdhury, D.; Ciuchini, M. The European Physical Journal C, Vol. 80, Issue 5 https://doi.org/10.1140/epjc/s10052-020-7904-z	journal	May 2020
Completing the scalar and fermionic universal one-loop effective action Krämer, Michael; Summ, Benjamin; Voigt, Alexander RWTH Aachen University https://doi.org/10.18154/rwth-2020-04077	text	January 2020
On the future of Higgs, electroweak and diboson measurements at lepton colliders De Blas, Jorge; Durieux, Gauthier; Grojean, Christophe Deutsches Elektronen-Synchrotron, DESY, Hamburg https://doi.org/10.3204/pubdb-2019-02901	text	January 2019
One-loop Matching and Running with Covariant Derivative Expansion Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi arXiv https://doi.org/10.48550/arxiv.1604.01019	preprint	January 2016
Compilation of low-energy constraints on 4-fermion operators in the SMEFT Falkowski, Adam; González-Alonso, Martín; Mimouni, Kin arXiv https://doi.org/10.48550/arxiv.1706.03783	text	January 2017
Extending the Universal One-Loop Effective Action: Heavy-Light Coefficients Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong arXiv https://doi.org/10.48550/arxiv.1706.07765	text	January 2017
Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT Jiang, Minyuan; Craig, Nathaniel; Li, Ying-Ying arXiv https://doi.org/10.48550/arxiv.1811.08878	text	January 2018
Hilbert Series and Plethystics: Paving the path towards 2HDM- and MLRSM-EFT Bakshi, Supratim Das; Chakrabortty, Joydeep; Prakash, Suraj arXiv https://doi.org/10.48550/arxiv.1905.11047	text	January 2019

Similar Records

One-loop matching and running with covariant derivative expansion

Journal Article · Wed Jan 24 00:00:00 EST 2018 · Journal of High Energy Physics (Online) · OSTI ID:1389267

Henning, Brian; Lu, Xiaochuan; Murayama, Hitoshi

Extending the Universal One-Loop Effective Action: heavy-light coefficients

Journal Article · Wed Aug 16 00:00:00 EDT 2017 · Journal of High Energy Physics (Online) · OSTI ID:1389267

Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong; +1 more

Mixed heavy–light matching in the Universal One-Loop Effective Action

Journal Article · Thu Nov 10 00:00:00 EST 2016 · Physics Letters. B · OSTI ID:1389267

Ellis, Sebastian A. R.; Quevillon, Jérémie; You, Tevong; +1 more

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Effective Field Theories
Gauge Symmetry
Beyond Standard Model

Title: Covariant diagrams for one-loop matching

Citation Formats

References (23)

Cited By (14)

Similar Records

Related Subjects