Amplitude bases in generic EFTs

Angelis, Stefano De

doi:10.1007/jhep08(2022)299

Cited by 22 publications

(10 citation statements)

References 95 publications

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“…refs. [59,60]. Our methods make use of general features of the algebra of polynomials and we expect them to have wide applicability to many problems.…”

Section: Physical Polynomial Spacementioning

confidence: 99%

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry

Laurentis

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2022

J. High Energ. Phys.

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Rational coefficients of special functions in scattering amplitudes are known to simplify on singular surfaces, often diverging less strongly than the naïve expectation. To systematically study these surfaces and rational functions on them, we employ tools from algebraic geometry. We show how the divergences of a rational function constrain its numerator to belong to symbolic powers of ideals associated to the singular surfaces. To study the divergences of the coefficients, we make use of p-adic numbers, closely related to finite fields. These allow us to perform numerical evaluations close to the singular surfaces in a stable manner and thereby characterize the divergences of the coefficients. We then use this information to construct low-dimensional Ansätze for the rational coefficients. As a proof-of-concept application of our algorithm, we reconstruct the two-loop 0 → q$$ \overline{q} $$ q ¯ γγγ pentagon-function coefficients with fewer than 1000 numerical evaluations.

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“…refs. [59,60]. Our methods make use of general features of the algebra of polynomials and we expect them to have wide applicability to many problems.…”

Section: Physical Polynomial Spacementioning

confidence: 99%

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry

Laurentis

Page

2022

J. High Energ. Phys.

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“…They helped uncovering positivity constraints [53][54][55], non-interferences between renormalisable and dimension-six amplitudes [56], and non-renormalisation theorems between higherdimensional operators [57][58][59][60][61]. They provided an alternative means of computing anomalous dimensions [62][63][64][65][66][67][68][69][70], of constructing SMEFT operator bases [71][72][73][74][75][76][77] as well as broken-phase massive amplitudes [78][79][80][81][82][83][84][85][86].…”

Section: Introductionmentioning

confidence: 99%

EFT matching from analyticity and unitarity

De Angelis,

Durieux

2024

SciPost Phys.

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We present a new on-shell method for the matching of ultraviolet models featuring massive states onto their massless effective field theory. We employ a dispersion relation in the space of complex momentum dilations to capture, in a single variable, the relevant analytic structure of scattering amplitudes at any multiplicity. Multivariate complex analysis and crossing considerations are therefore avoided. Remarkably, no knowledge about the infrared effective field theory is required in dimensional regularisation. All matching information is extracted from the residues and iscontinuities of the ultraviolet scattering amplitudes, which unitarity expresses in terms of lower-point and lower-loop results, respectively. This decomposition into simpler building blocks could deliver new insight in the structure of the effective field theories obtained from classes of ultraviolet scenarios and facilitate computations at higher loop orders.

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“…In recent years, effective field theories such as standard model effective theory (SMEFT) [1302,1303] or Higgs effective theory (HEFT) [1304,1305,1306,1307] have become a standard tools for deriving largely model-independent constraints on heavy new particles [1308,1309,1310,1311,1312,1313]. There has also been significant effort to develop techniques to model-independently constrain light new particles.…”

Section: Introductionmentioning

confidence: 99%

Feebly-interacting particles: FIPs 2020 workshop report

et al. 2021

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With the establishment and maturation of the experimental programs searching for new physics with sizeable couplings at the LHC, there is an increasing interest in the broader particle and astrophysics community for exploring the physics of light and feebly-interacting particles as a paradigm complementary to a New Physics sector at the TeV scale and beyond. FIPs 2020 has been the first workshop fully dedicated to the physics of feebly-interacting particles and was held virtually from 31 August to 4 September 2020. The workshop has gathered together experts from collider, beam dump, fixed target experiments, as well as from astrophysics, axions/ALPs searches, current/future neutrino experiments, and dark matter direct detection communities to discuss progress in experimental searches and underlying theory models for FIPs physics, and to enhance the cross-fertilisation across different fields. FIPs 2020 has been complemented by the topical workshop “Physics Beyond Colliders meets theory”, held at CERN from 7 June to 9 June 2020. This document presents the summary of the talks presented at the workshops and the outcome of the subsequent discussions held immediately after. It aims to provide a clear picture of this blooming field and proposes a few recommendations for the next round of experimental results.

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Amplitude bases in generic EFTs

Cited by 22 publications

References 95 publications

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry

Ansätze for scattering amplitudes from p-adic numbers and algebraic geometry

EFT matching from analyticity and unitarity

Feebly-interacting particles: FIPs 2020 workshop report

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