Theoretical developments in the SMEFT at dimension-8 and beyond

Alioli, Simone; Boughezal, Radja; Cao, Weiguang; Durieux, Gauthier; Gráf, Lukáš; Henning, Brian; Kitahara, Teppei; Li, Haolin; Lu, Xiaochuan; Machado, Camila S.; Martín, A.; Melia, Tom; Mereghetti, Emanuele; Murayama, Hitoshi; Murphy, Christopher W.; Nepveu, Jasper Roosmale; Pal, Sridip; Petriello, Frank; Shadmi, Yael; Shu, Jiwu; Weiss, Y.; Xiao, Ming-Lei; Yu, Jiang-Hao

doi:10.48550/arxiv.2203.06771

Cited by 3 publications

(3 citation statements)

References 90 publications

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“…[15][16][17], has gained increasing attention [10,[18][19][20][21][22][23] and is implemented in dedicated tools [24][25][26][27][28][29][30][31]. The effect of double insertions of dimension-6 operators at the level of squared amplitudes also has been studied in the literature [32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Combining chromomagnetic and four-fermion operators with leading SMEFT operators for gg → hh at NLO QCD

Heinrich,

Lang

2024

J. High Energ. Phys.

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We present the calculation of the contribtuions from the chromomagnetic and four-top-quark-operators within Standard Model Effective Field Theory (SMEFT) to Higgs boson pair production in gluon fusion, combined with QCD corrections that are at NLO with full mt-dependence for the leading operators. We study the effects of these operators on the total cross section and the invariant mass distribution of the Higgs-boson pair, at $$\sqrt{s}$$ = 13.6 TeV. These subleading operators are implemented in the generator ggHH_SMEFT, in the same Powheg-Box-V2 framework as the leading operators, such that their effects can be easily studied in a unified setup.

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Section: Introductionmentioning

confidence: 99%

Combining chromomagnetic and four-fermion operators with leading SMEFT operators for gg → hh at NLO QCD

Heinrich,

Lang

2024

J. High Energ. Phys.

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“…In the absence of lepton-number violation (LNV), the dimension-six terms of the SMEFT naively provide the dominant corrections to SM predictions in low-energy observables. In recent years though, the next tower of operators, namely those of dimension eight, are being more and more scrutinised from both the theory and experimental points of view [2]. One important reason for this is that, in a number of observables, the leading dimension-six contributions vanish [3].…”

Section: Introductionmentioning

confidence: 99%

Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II

et al. 2022

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We calculate the renormalisation group running of the bosonic Standard Model (SM) effective operators at one loop and to order $$v^4/\Lambda ^4$$ v 4 / Λ 4 , with $$v\sim 246$$ v ∼ 246 GeV being the electroweak scale and $$\Lambda$$ Λ the unknown new physics threshold. We focus on contributions driven by one dimension-eight term and SM couplings, thus extending (and completing) the effort initiated in Chala et al. (SciPost Phys 11:065, 2021). arXiv:2106.05291, in which quantum corrections from pairs of dimension-six interactions were considered. We highlight some interesting consequences, including the renormalisation of loop-induced interactions by tree-level generated terms and, more importantly, the validity of positivity bounds on different operators inducing anomalous gauge quartic couplings.

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“…For a while, it was often stated that the Standard Model Effective Field Theory (SMEFT) [7][8][9][10][11][12] and the Higgs Effective Field Theory (HEFT) [13][14][15][16][17][18] must encode similar physics, just in different coordinates, with HEFT being perhaps a bit more general because it does not incorporate the Higgs boson h into an SU (2) multiplet.…”

mentioning

confidence: 99%

The flair of Higgsflare: Distinguishing electroweak EFTs with $W_LW_L \to n\times h$

Gomez-Ambrosio,

Llanes-Estrada,

Salas-Bernardez

et al. 2022

Preprint

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The electroweak symmetry-breaking sector is one of the most promising and uncharted parts of the Standard Model; but it seems likely that new electroweak physics may be out of reach of the present accelerator effort and the hope is to observe small deviations from the SM. Given that, Effective Field Theory becomes the logic method to use, and SMEFT has become the standard. However, the most general theory with the known particle content is HEFT, and whether SMEFT suffices should be investigated in future experimental efforts. Building on investigations by other groups that established geometric criteria to distinguish SMEFT from HEFT (useful for theorists examining specific beyond-SM completions), we seek more phenomenological understanding and present an analogous discussion aimed at a broader audience.We discuss various aspects of (multi-) Higgs boson production from longitudinal electroweak gauge bosons WLWL → n × h in the TeV region as the necessary information to characterise the Flare function, F(h), that determines whether SMEFT or HEFT is needed. We also present tree-level amplitudes including contact and exchange channels, as well as a short discussion on accessing F from the statistical limit of many bosons. We also discuss the status of the coefficients of the series expansion of F(h), its validity, whether its complex-h extension can be used to predict or not a tell-tale zero, and how they relate to the dimension-6 and -8 SMEFT operators in the electroweak sector. We derive a set of new correlations among BSM corrections to the HEFT coefficients that help decide, from experimental data, whether we have a viable SMEFT. This analysis can be useful for machines beyond the LHC that could address the challenging final state with several Higgs bosons. CONTENTS 1. Derivation and result at dimension-6 2. Result at dimension-8 III. Geometric and analytic distinction between HEFT and SMEFT A. Flat SM geometry B. Beyond SM: curved φ geometry C. Zero and analyticity of F upon passing from HEFT to SMEFT IV. Generic properties of the flare function F(h) A. Current knowledge of F(h)

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Theoretical developments in the SMEFT at dimension-8 and beyond

Cited by 3 publications

References 90 publications

Combining chromomagnetic and four-fermion operators with leading SMEFT operators for gg → hh at NLO QCD

Combining chromomagnetic and four-fermion operators with leading SMEFT operators for gg → hh at NLO QCD

Towards the renormalisation of the Standard Model effective field theory to dimension eight: bosonic interactions II

The flair of Higgsflare: Distinguishing electroweak EFTs with $W_LW_L \to n\times h$

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