Unitarity violation and the geometry of Higgs EFTs

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

doi:10.1007/jhep12(2021)003

Unitarity violation and the geometry of Higgs EFTs

Journal Article · Wed Dec 01 00:00:00 EST 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep12(2021)003· OSTI ID:1838036

^[1]; Craig, Nathaniel ^[2]; ^[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)
INFN Sezione di Trieste (Italy)

We derive the scale of unitarity violation from the geometry of Effective Field Theory (EFT) extensions of the Standard Model Higgs sector. The high-energy behavior of amplitudes with more than four scalar legs depends on derivatives of geometric invariants with respect to the physical Higgs field h, such that higher-point amplitudes begin to reconstruct the scalar manifold away from our vacuum. In theories whose low-energy limit can be described by the Higgs EFT (HEFT) but not the Standard Model EFT (SMEFT), non-analyticities in the vicinity of our vacuum limit the radius of convergence of geometric invariants, leading to unitarity violation at energies below 4πv. Our results unify approaches to the HEFT/SMEFT dichotomy based on unitarity, analyticity, and geometry, and more broadly illustrate the sense in which observables probe the geometry of an EFT. Along the way, we provide novel basis-independent results for Goldstone/Higgs boson scattering amplitudes expressed in terms of geometric covariant quantities.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011640; SC0011702

OSTI ID:: 1838036

Alternate ID(s):: OSTI ID: 1905963

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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