Dimension-8 operators in the Standard Model Effective Field Theory

Murphy, Christopher W.

doi:10.1007/jhep10(2020)174

Cited by 192 publications

(211 citation statements)

References 67 publications

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“…There have been many studies of constructing operator basis in standard model EFT (see e.g. [77][78][79][80][81][82][83][84][85]) and consider their renormalization using both conventional and on-shell formalism (see e.g. [86][87][88][89][90][91][92][93][94]).…”

Section: Discussionmentioning

confidence: 99%

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Jin

Ren

Yang

2021

J. High Energ. Phys.

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We consider two-loop renormalization of high-dimensional Lorentz scalar operators in the gluonic sector of QCD. These operators appear also in the Higgs effective theory obtained by integrating out the top quark loop in the gluon fusion process. We first discuss the classification of operators and how to construct a good set of basis using both off-shell field theory method and on-shell form factor formalism. To study loop corrections, we apply efficient unitarity-IBP strategy and compute the two-loop minimal form factors of length-3 operators up to dimension sixteen. From the UV divergences of form factor results, we extract the renormalization matrices and analyze the operator mixing behavior in detail. The form factors we compute are also equivalent to Higgs plus three-gluon amplitudes that capture high-order top mass corrections in Higgs EFT. We obtain the analytic finite remainder functions which exhibit several universal transcendentality structures.

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Section: Discussionmentioning

confidence: 99%

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Jin

Ren

Yang

2021

J. High Energ. Phys.

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“…[13][14][15][16][17] for recent efforts. Although the HS does not tell the concrete forms of operators, it is very helpful for us to exhaust all possible forms and confirm their independency as we saw in the construction of dim-7 operators [6] and very recently of dim-8 operators [18,19]. If there are new light particles beyond the SM that are most likely a SM singlet such as light sterile neutrinos, they must be incorporated into the framework of effective field theory thus extending the regime of the SMEFT [20][21][22][23].…”

Section: Jhep11(2020)152mentioning

confidence: 99%

An explicit construction of the dimension-9 operator basis in the standard model effective field theory

Liao

2020

J. High Energ. Phys.

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We investigate systematically dimension-9 operators in the standard model effective field theory which contains only standard model fields and respects its gauge symmetry. With the help of the Hilbert series approach to classifying operators according to their lepton and baryon numbers and their field contents, we construct the basis of operators explicitly. We remove redundant operators by employing various kinematic and algebraic relations including integration by parts, equations of motion, Schouten identities, Dirac matrix and Fierz identities, and Bianchi identities. We confirm counting of independent operators by analyzing their flavor symmetry relations. All operators violate lepton or baryon number or both, and are thus non-Hermitian. Including Hermitian conjugated operators there are $$ {\left.384\right|}_{\Delta B=0}^{\Delta L=\pm 2}+{\left.10\right|}_{\Delta B=\pm 2}^{\Delta L=0}+{\left.4\right|}_{\Delta B=\pm 1}^{\Delta L=\pm 3}+{\left.236\right|}_{\Delta B=\pm 1}^{\Delta L=\mp 1} $$ 384 Δ B = 0 Δ L = ± 2 + 10 Δ B = ± 2 Δ L = 0 + 4 Δ B = ± 1 Δ L = ± 3 + 236 Δ B = ± 1 Δ L = ∓ 1 operators without referring to fermion generations, and $$ {\left.44874\right|}_{\Delta B=0}^{\Delta L=\pm 2}+{\left.2862\right|}_{\Delta B=\pm 2}^{\Delta L=0}+{\left.486\right|}_{\Delta B=\pm 1}^{\Delta L=\pm 3}+{\left.42234\right|}_{\Delta B=\mp 1}^{\Delta L=\pm 1} $$ 44874 Δ B = 0 Δ L = ± 2 + 2862 Δ B = ± 2 Δ L = 0 + 486 Δ B = ± 1 Δ L = ± 3 + 42234 Δ B = ∓ 1 Δ L = ± 1 operators when three generations of fermions are referred to, where ∆L, ∆B denote the net lepton and baryon numbers of the operators. Our result provides a starting point for consistent phenomenological studies associated with dimension-9 operators.

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“…For the EFT case, the interpretation procedure is quite straightforward and already in the experiment's roadmap. There is a classification of possible deviations from the SM which could lead to excesses in tails, at Oðp 2 /M 2 Þ [24] and to some extent at Oðp 4 /M 4 Þ [ [25][26][27].…”

Section: Phenomenological Signatures Of Nonresonant Modelsmentioning

confidence: 99%

On the Interpretation of Nonresonant Phenomena at Colliders

Folgado

Sanz

2021

Advances in High Energy Physics

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With null results in resonance searches at the LHC, the physics potential focus is now shifting towards the interpretation of nonresonant phenomena. An example of such shift is the increased popularity of the EFT programme. We can embark on such programme owing to the good integrated luminosity and an excellent understanding of the detectors, which will allow these searches to become more intense as the LHC continues. In this paper, we provide a framework to perform this interpretation in terms of a diverse set of scenarios, including (1) generic heavy new physics described at low energies in terms of a derivative expansion, such as in the EFT approach; (2) very light particles with derivative couplings, such as axions or other light pseudo-Goldstone bosons; and (3) the effect of a quasicontinuum of resonances, which can come from a number of strongly coupled theories, extradimensional models, clockwork set-ups, and their deconstructed cousins. These scenarios are not equivalent despite all nonresonance, although the matching among some of them is possible, and we provide it in this paper.

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Dimension-8 operators in the Standard Model Effective Field Theory

Cited by 192 publications

References 67 publications

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

Two-loop anomalous dimensions of QCD operators up to dimension-sixteen and Higgs EFT amplitudes

An explicit construction of the dimension-9 operator basis in the standard model effective field theory

On the Interpretation of Nonresonant Phenomena at Colliders

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