Electroweak Restoration: SMEFT and HEFT

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Hauptverfasser: Lewis, Ian M., Liu, Zhen, Mahbub, Ishmam
Format: Preprint
Veröffentlicht: 2026
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author Lewis, Ian M.
Liu, Zhen
Mahbub, Ishmam
author_facet Lewis, Ian M.
Liu, Zhen
Mahbub, Ishmam
contents Colliders continue to push our understanding of electroweak (EW) interactions to ever higher energies. At high energies, many observables in the broken EW theory are expected to approach the unbroken theory. This is the electroweak restoration regime, where longitudinal gauge boson production corresponds to Goldstone boson production. As such, in this paper we investigate electroweak restoration in the context of linear and non-linear realizations of the EW symmetry in longitudinal di-boson production: $f\bar{f}'\rightarrow V_LV'_L$ and $f\bar{f}'\rightarrow V_Lh$, where $V_L,V'_L$ are longitudinal gauge bosons, $h$ is the Higgs boson, and $f,f'$ are SM fermions. For the linear beyond the SM (BSM) theory, we use the Standard Model Effective Theory (SMEFT), and for the non-linear BSM theory, we use Higgs Effective Field Theory (HEFT). We give a general discussion of these amplitudes and cross sections in the SM, SMEFT, and HEFT. Using the Goldstone boson equivalence theorem, we derive a set of ratios among high energy $V_LV'_L$ and $V_Lh$ amplitudes that are expected to approach one in the SM and SMEFT. Through our explicit calculations, we show that these ratios do indeed approach one in the SM and dimension-6 SMEFT, but not necessarily HEFT. Beyond the amplitudes, both theoretically and experimentally, we identify the cross section ratio of $W^\pm_LZ_L$ and $W^\pm_L h$ as a particularly promising observable to probe EW restoration and distinguish HEFT and SMEFT. Using current LHC measurements as well as projections for $W^\pm_L h$ measurements, we project HL-LHC sensitivities to probing the linear vs. non-linear realizations of the EW symmetry.
format Preprint
id arxiv_https___arxiv_org_abs_2605_08433
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Electroweak Restoration: SMEFT and HEFT
Lewis, Ian M.
Liu, Zhen
Mahbub, Ishmam
High Energy Physics - Phenomenology
Colliders continue to push our understanding of electroweak (EW) interactions to ever higher energies. At high energies, many observables in the broken EW theory are expected to approach the unbroken theory. This is the electroweak restoration regime, where longitudinal gauge boson production corresponds to Goldstone boson production. As such, in this paper we investigate electroweak restoration in the context of linear and non-linear realizations of the EW symmetry in longitudinal di-boson production: $f\bar{f}'\rightarrow V_LV'_L$ and $f\bar{f}'\rightarrow V_Lh$, where $V_L,V'_L$ are longitudinal gauge bosons, $h$ is the Higgs boson, and $f,f'$ are SM fermions. For the linear beyond the SM (BSM) theory, we use the Standard Model Effective Theory (SMEFT), and for the non-linear BSM theory, we use Higgs Effective Field Theory (HEFT). We give a general discussion of these amplitudes and cross sections in the SM, SMEFT, and HEFT. Using the Goldstone boson equivalence theorem, we derive a set of ratios among high energy $V_LV'_L$ and $V_Lh$ amplitudes that are expected to approach one in the SM and SMEFT. Through our explicit calculations, we show that these ratios do indeed approach one in the SM and dimension-6 SMEFT, but not necessarily HEFT. Beyond the amplitudes, both theoretically and experimentally, we identify the cross section ratio of $W^\pm_LZ_L$ and $W^\pm_L h$ as a particularly promising observable to probe EW restoration and distinguish HEFT and SMEFT. Using current LHC measurements as well as projections for $W^\pm_L h$ measurements, we project HL-LHC sensitivities to probing the linear vs. non-linear realizations of the EW symmetry.
title Electroweak Restoration: SMEFT and HEFT
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.08433