Standard Model EFTs via On-Shell Methods

Huber, Manuel Accettulli; Angelis, Stefano De

doi:10.48550/arxiv.2108.03669

Cited by 4 publications

(5 citation statements)

References 140 publications

(192 reference statements)

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“…This is quite a restrictive statement on the right-hand-side of Eq. (22). Moreover, as we explained at the end of section 2, the two contributions to γ IR (i.e.…”

Section: Real and Imaginary Part Of The Two-loop Equationmentioning

confidence: 72%

“…Knowing the structure of IR divergences is necessary if one needs to subtract them, like in the study of the UV running of low energy EFTs in the on-shell massless scheme [2,3,7,17]. For what concerns the study of EFTs (and especially of the Standard Model EFT), a lot of recent activity was dedicated to the identification of amplitude bases for higher-dimensional operators [18][19][20][21][22], and the study of various kinds of selection rules for mixing among operators, like helicity and angular momentum selection rules [23][24][25]. These sets of ideas, put together with the methods that were reported here, can be of great practical use for the systematic study of the RG at two loops [5].…”

Section: Discussionmentioning

confidence: 99%

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Two-Loop Infrared Renormalization with On-shell Methods

Baratella¹

2022

Preprint

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Within the framework proposed by Caron-Huot and Wilhelm, we give a recipe for computing infrared anomalous dimensions purely on-shell, efficiently up to two loops in any massless theory. After introducing the general formalism and reviewing the one-loop recipe, we extract a practical formula that relates two-loop infrared anomalous dimensions to certain two-and three-particle phase space integrals with tree-level form factors of conserved operators. We finally provide several examples of the use of the two-loop formula and comment on some of its formal aspects, especially the cancellation of 'one-loop squared' spurious terms.

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“…This is quite a restrictive statement on the right-hand-side of Eq. (22). Moreover, as we explained at the end of section 2, the two contributions to γ IR (i.e.…”

Section: Real and Imaginary Part Of The Two-loop Equationmentioning

confidence: 72%

Section: Discussionmentioning

confidence: 99%

Two-Loop Infrared Renormalization with On-shell Methods

Baratella¹

2022

Preprint

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“…Given an EFT Lagrangian, it is straight forward to calculate the amplitude of a process with field theory procedures. However, since our main objective is to Mellin transform an amplitude, it is more illustrative to adopt the on-shell approach and directly parameterize EFTs in terms of amplitudes [26][27][28][29][30][31]. Recently, it was shown that this approach also provides an efficient way of calculating the anomalous dimension matrices and general pattern of possible loop effects in EFTs [32][33][34][35][36].…”

Section: Resummed Eft Amplitudesmentioning

confidence: 99%

A Note on the Analytic Structure of Celestial Amplitudes

Gu,

Li,

Wang

2022

Preprint

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Celestial amplitudes, obtained by applying Mellin transform and analytic continuation on "ordinary" amplitudes, have interesting properties which may provide useful insights on the underlying theory. Their analytic structures are thus of great interest and need to be better understood. In this paper, we critically examine the analytic structure of celestial amplitudes in a massless low-energy effective field theory. We find that, fixedorder loop contributions, which generate multipoles on the negative β-plane, in general do not provide an accurate description of the analytic structure of celestial amplitudes. By resumming over the leading logarithmic contributions using renormalization group equations (RGEs), we observe much richer analytic structures, which generally contain branch cuts. It is also possible to generate multipoles or shifted single poles if the RGEs satisfy certain relations. Including sub-leading logarithmic contributions is expected to introduce additional corrections to the picture. However, without a new approach, it is difficult to make a general statement since the analytic form of the Mellin transform is challenging to obtain.

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“…The Young tensor method has been applied to the SMEFT [5,7], the LEFT [12], νSMEFT and νLEFT [18] to obtain the on-shell EFT operator bases. Alternatively, the on-shell EFT operator bases can also be constructed based on the kinematic structures [21][22][23][24][25] in the spinor-helicity notation.…”

Section: Introductionmentioning

confidence: 99%

Operators For Generic Effective Field Theory at any Dimension: On-shell Amplitude Basis Construction

Li,

Ren,

Xiao

et al. 2022

Preprint

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We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering the operator as contact on-shell amplitude, the so-called amplitude operator correspondence, we provide a unified construction of the Lorentz and gauge and flavor structures by Young Tableau tensor. Several bases are constructed to emphasize different aspects: independence (y-basis and m-basis), repeated fields with flavors (p-basis), and conserved quantum numbers (j-basis). We also provide new algorithms for finding the m-basis by defining inner products for group factors and the p-basis by constructing the matrix representations of the Young symmetrizers from group generators. The on-shell amplitude basis gives us a systematic way to convert any operator into such basis, so that the conversions between any other operator bases can be easily done by linear algebra. All of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories).

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Standard Model EFTs via On-Shell Methods

Cited by 4 publications

References 140 publications

Two-Loop Infrared Renormalization with On-shell Methods

Two-Loop Infrared Renormalization with On-shell Methods

A Note on the Analytic Structure of Celestial Amplitudes

Operators For Generic Effective Field Theory at any Dimension: On-shell Amplitude Basis Construction

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