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

Could new physics first manifest itself in Higgs self-coupling measurements? In other words, how large could deviations in the Higgs self-coupling be, if other Higgs and electroweak measurements are compatible with Standard Model predictions? Using theoretical arguments supported by concrete models, we derive a bound on the ratio of self-coupling to single-Higgs coupling deviations in ultraviolet completions of the Standard Model where parameters are not fine-tuned. Broadly speaking, a one-loop hierarchy is allowed. We thus stress that self-coupling measurements at the LHC and future colliders probe uncharted parameter space, presenting discovery potential even in the absence of emerging hints in single-Higgs coupling measurements. For instance, if other observables show less than two-sigma deviations by the end of the LHC programme, the Higgs self-coupling deviations could still exceed 200% in the models discussed, without introducing fine-tuning of ultraviolet parameters.

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“…1 /12π 2 . The anomalous dimension matrix between dimension-8 bosonic operators has been studied in [63,64]. In the latter reference, c…”

Section: Jhep12(2022)148mentioning

confidence: 99%

Charting the Higgs self-coupling boundaries

Durieux

McCullough

Salvioni

2022

J. High Energ. Phys.

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“…A notable part of the ADM γ has been already computed explicitly in Refs. [22][23][24], but most is still missing. Likewise for γ ; see Refs.…”

Section: Effective Field Theorymentioning

confidence: 99%

“…Some of these were computed already in Ref. [23]. For the rest, we proceed as in that reference, namely computing all relevant one-particle-irreducible (1PI) diagrams off-shell, extracting the divergences and projecting them onto a Green's basis of operators [61].…”

Section: A Explicit Computation In the Reduced Smeftmentioning

confidence: 99%

“…Since the last ten years or so, there has been significant progress towards the renormalisation of EFTs, particularly in the Standard Model (SM) EFT (SMEFT) [12,13] at one loop and up to dimension eight [14][15][16][17][18][19][20][21][22][23][24][25][26]. Software tools that automatise part of this process have been of enormous importance in this respect [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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Constraints on anomalous dimensions from the positivity of the S-matrix

Chala¹

2023

Preprint

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We show that the analyticity and crossing symmetry of the S-matrix, together with the optical theorem, impose restrictions on the renormalisation group evolution of dimension-eight operators in the Standard Model Effective Field Theory. Moreover, in the appropriate basis of operators, the latter manifest as zeros in the anomalous dimension matrix that, to the best of our knowledge, have not been anticipated anywhere else in the literature. Our results can be trivially extended to other effective field theories.

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“…The RGEs of bosonic interactions of the SMEFT up to O (𝑣 4 /Λ 4 ) induced by dim-8 operators that can arise at tree-level upon matching in weakly coupled UV-complete theories, are provided in an auxiliary file on github.com/SMEFT-Dimension8-RGEs [6]. Here we discuss some generic aspects of this result.…”

Section: Structure Of the Anomalous Dimension Matrixmentioning

confidence: 99%

RGEs and positivity bounds of the SMEFT dimension-8 operators

Bakshi¹

2022

Proceedings of 41st International Conference on High Energy Physics — PoS(ICHEP2022)

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The Standard Model effective field theory (SMEFT) is a robust model for studying beyond Standard Model physics. The dimension-eight operators are of particular interest to theoretically rule-out regions of Wilson coefficient (WC) space based on positivity bounds derived using properties of scattering amplitudes. The renormalisation group evolution (RGE) of these WCs is necessary to define them consistently at different scales. In this work, we present the renormalisation of the bosonic sector of the SMEFT from tree-level generated dimension-eight operators up to O (𝑣 4 /Λ 4 ), with v ∼ 246 GeV as the electroweak symmetry breaking scale and Λ as the cut-off scale of the EFT. Using these RGEs, and the positivity bounds on 𝑋 2 𝜙 2 𝐷 2 class, we deduce the constraints on WCs of 𝜙 4 𝐷 4 and 𝜓 2 𝜙 2 𝐷 3 classes. These bounds on 𝑋 2 𝜙 2 𝐷 2 operators remain valid at sufficiently small scales within the one-loop analysis.

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

Abstract: 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 … Show more

Cited by 29 publications

References 43 publications

Charting the Higgs self-coupling boundaries

Charting the Higgs self-coupling boundaries

Constraints on anomalous dimensions from the positivity of the S-matrix

RGEs and positivity bounds of the SMEFT dimension-8 operators

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