The infrared structure of perturbative gauge theories

Agarwal, Neelima; Magnea, Lorenzo; Signorile-Signorile, Chiara; Tripathi, Anurag

doi:10.1016/j.physrep.2022.10.001

Cited by 28 publications

(5 citation statements)

References 901 publications

(963 reference statements)

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“…We used a variant of the nested soft-collinear subtraction scheme [14] to handle soft and collinear singularities arising from real radiation (see Ref. [15] for a recent review on the topic). In doing so, we benefit from previous studies on resonant vector boson production [6].…”

Section: Motivation Technicalities and Phenomenological Resultsmentioning

confidence: 99%

On the impact of mixed QCD-electroweak corrections to the Drell-Yan process in the high invariant mass region

Signorile-Signorile¹

2022

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

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We summarise the calculation of mixed QCD-electroweak corrections to the neutral-currentmediated production of a pair of massless leptons performed in Ref. [1]. The study is focused on the high invariant mass region. We find mixed corrections to be O(−1%) for values of the dilepton invariant mass around 200 GeV. For invariant masses larger than 1 TeV, we observe these corrections to be O(−3%), and well reproduced by the product of next-to-leading order QCD and electroweak corrections.

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Section: Motivation Technicalities and Phenomenological Resultsmentioning

confidence: 99%

On the impact of mixed QCD-electroweak corrections to the Drell-Yan process in the high invariant mass region

Signorile-Signorile¹

2022

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

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“…While understanding of these singularities is well advanced (see Ref. [3] for a recent review), developing optimal algorithms for infrared subtraction beyond next-to-leading order (NLO) remains an open issue. Various methods have been proposed [2,[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] (for a recent review see Ref.…”

Section: The Problem the Ideamentioning

confidence: 99%

Advances in the nested soft-collinear subtraction scheme

Signorile-Signorile,

Tagliabue

2023

Proceedings of 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology — P

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We discuss a path [1] toward the generalisation of the nested soft-collinear subtraction scheme [2] to arbitrary 2 → 𝑛 processes. The scheme is designed to provide an efficient and processindependent procedure to extract and regulate infrared (IR) singularities arising from unresolved real radiation and combine them with explicit singularities in virtual corrections. The new approach is based on a reorganisation of the relevant subtraction terms into simple combinations of a relatively small number of recurring structures. This strategy leads to a drastic reduction in the computational effort required to derive integrated subtraction terms, while preserving the full generality of the scheme. We believe that this approach will allow for tackling the issue of regularising IR divergences at next-to-next-to-leading order in the strong coupling constant for arbitrary, multi-parton processes.

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“…It is well understood that amplitudes in gauge theory diverge in a universal way [49][50][51][52], (see ref. [53] for a recent review). Specifically, after renormalization, these divergences can be written in terms of lower loop amplitudes and universal operators.…”

Section: Jhep12(2022)140mentioning

confidence: 99%

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

Laurentis

Page

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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The infrared structure of perturbative gauge theories

Cited by 28 publications

References 901 publications

On the impact of mixed QCD-electroweak corrections to the Drell-Yan process in the high invariant mass region

On the impact of mixed QCD-electroweak corrections to the Drell-Yan process in the high invariant mass region

Advances in the nested soft-collinear subtraction scheme

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

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