EFT anomalous dimensions from the S-matrix

Miró, Joan Elias; Ingoldby, James; Riembau, Marc

doi:10.48550/arxiv.2005.06983

Cited by 7 publications

(14 citation statements)

References 44 publications

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“…In Refs. [2][3][4][5], several examples of the calculation of the anomalous dimensions in the SM EFT via on-shell amplitude methods were presented. 5 In particular, in [3] the renormalization of the electron dipole operator was provided, and a similarity was shown in the contributions to the anomalous dimension coming from very different Feynman diagrams.…”

Section: The Standard Model Eftmentioning

confidence: 99%

“…Recently, there has been certain activity to show how to calculate anomalous dimensions from on-shell methods [1][2][3][4][5], following the earlier work of [6][7][8]. These methods are equivalent to the ordinary operator approach of effective field theories, since amplitudes can be related one-to-one to higher-dimensional operators.…”

Section: Introductionmentioning

confidence: 99%

“…These methods are equivalent to the ordinary operator approach of effective field theories, since amplitudes can be related one-to-one to higher-dimensional operators. Nevertheless, on-shell methods have been shown to be simpler and more efficient, and also more manageable when going beyond the one-loop order (see for example [2,4,9]).…”

Section: Introductionmentioning

confidence: 99%

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Anomalous Dimensions of Effective Theories from Partial Waves

Baratella¹,

Fernandez²,

Harling³

et al. 2020

Preprint

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On-shell amplitude methods have proven to be extremely efficient for calculating anomalous dimensions. We further elaborate on these methods to show that, by the use of an angular momentum decomposition, the one-loop anomalous dimensions can be reduced to essentially a sum of products of partial waves. We apply this to the SM EFT, and show how certain classes of anomalous dimensions have their origin in the same partial-wave coefficients. We also use our result to obtain a generic formula for the one-loop anomalous dimensions of nonlinear sigma models at any order in the energy expansion, and apply our method to gravity, where it proves to be very advantageous even in the presence of IR divergencies.

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Section: The Standard Model Eftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Anomalous Dimensions of Effective Theories from Partial Waves

Baratella¹,

Fernandez²,

Harling³

et al. 2020

Preprint

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“…On-shell methods find a natural application in the framework of effective field theories (EFTs), which provide a model-independent description of particle interactions, positing just the low-energy particle content and symmetries. In the context of the standardmodel effective field theory, they have for instance been used to elucidate the patterns observed in the renormalization of dimension-six operators [1] and in their interference with the standard model [2], which are somewhat obscure in the Lagrangian approach, and to derive anomalous dimensions beyond leading order in the loop and EFT expansions [3][4][5][6]. Many of these applications only involve massless amplitudes, for which on-shell techniques are especially powerful.…”

Section: Introductionmentioning

confidence: 99%

Constructing massive on-shell contact terms

Durieux,

Kitahara,

Machado

et al. 2020

Preprint

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The purely on-shell approach to effective field theories requires the construction of independent contact terms. Employing the little-group-covariant massive-spinor formalism, we present the first systematic derivation of independent four-point contact terms involving massive scalars, spin-1/2 fermions, and vectors. Independent three-point amplitudes are also listed for massive particles up to spin-3. We make extensive use of the simple relations between massless and massive amplitudes in this formalism. Our general results are specialized to the (broken-phase) particle content of the electroweak sector of the standard model. The (anti)symmetrization among identical particles is then accounted for. This work opens the way for the on-shell computation of massive four-point amplitudes.

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“…Very recently the same formalism and general set of ideas was applied in Refs. [27,28] to compute certain SMEFT anomalous dimensions.…”

Section: Introductionmentioning

confidence: 99%

Structure of two-loop SMEFT anomalous dimensions via on-shell methods

Bern,

Parra-Martinez,

Sawyer

2020

Preprint

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We describe on-shell methods for computing one-and two-loop anomalous dimensions in the context of effective field theories containing higher-dimension operators. We also summarize methods for computing one-loop amplitudes, which are used as inputs to the computation of two-loop anomalous dimensions, and we explain how the structure of rational terms and judicious renormalization scheme choices can lead to additional vanishing terms in the anomalous dimension matrix at two loops. We describe the two-loop implications for the Standard Model Effective Field Theory (SMEFT). As a by-product of this analysis we verify a variety of one-loop SMEFT anomalous dimensions computed by Alonso, Jenkins, Manohar and Trott.

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EFT anomalous dimensions from the S-matrix

Cited by 7 publications

References 44 publications

Anomalous Dimensions of Effective Theories from Partial Waves

Anomalous Dimensions of Effective Theories from Partial Waves

Constructing massive on-shell contact terms

Structure of two-loop SMEFT anomalous dimensions via on-shell methods

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