Is SMEFT enough?

Cohen, Timothy; Craig, Nathaniel; Lu, Xiaochuan; Sutherland, Dave

doi:10.1007/jhep03(2021)237

Is SMEFT enough?

Journal Article · Thu Mar 25 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep03(2021)237· OSTI ID:1819367

Cohen, Timothy ^[1]; Craig, Nathaniel ^[2]; Lu, Xiaochuan ^[3]; Sutherland, Dave ^[4]

Univ. of Oregon, Eugene, OR (United States); University of Oregon
Univ. of California, Santa Barbara, CA (United States)
Univ. of Oregon, Eugene, OR (United States)
Istituto Nazionale di Fisica Nucleare (INFN), Trieste (Italy)

There are two canonical approaches to treating the Standard Model as an Effective Field Theory (EFT): Standard Model EFT (SMEFT), expressed in the electroweak symmetric phase utilizing the Higgs doublet, and Higgs EFT (HEFT), expressed in the broken phase utilizing the physical Higgs boson and an independent set of Goldstone bosons. HEFT encompasses SMEFT, so understanding whether SMEFT is sufficient motivates identifying UV theories that require HEFT as their low energy limit. This distinction is complicated by field redefinitions that obscure the naive differences between the two EFTs. By reformulating the question in a geometric language, we derive concrete criteria that can be used to distinguish SMEFT from HEFT independent of the chosen field basis. We highlight two cases where perturbative new physics must be matched onto HEFT: (i) the new particles derive all of their mass from electroweak symmetry breaking, and (ii) there are additional sources of electroweak symmetry breaking. Additionally, HEFT has a broader practical application: it can provide a more convergent parametrization when new physics lies near the weak scale. The ubiquity of models requiring HEFT suggests that SMEFT is not enough.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: European Research Council (ERC); National Science Foundation (NSF); USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011640; SC0011702

OSTI ID:: 1819367

Alternate ID(s):: OSTI ID: 1833371

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2021; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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