Dual subtractions

Prisco, Renato Maria; Tramontano, Francesco

doi:10.1007/jhep06(2021)089

Cited by 22 publications

(14 citation statements)

References 70 publications

(102 reference statements)

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“…This is the so-called Four-Dimensional Unsubtraction (FDU) approach [82][83][84][85], that profits from a local cancellation of singularities which makes it possible to bypass additional regulators (such as DREG). Also, this formalism allow us to write local UV counter-terms that exactly reproduce the expected results in conventional renormalisation schemes [80,81,84,85], as well as fully local IR dual counter-terms [86].…”

mentioning

confidence: 92%

A stroll through the loop-tree duality

Aguilera-Verdugo¹,

Driencourt-Mangin²,

Hernández-Pinto³

et al. 2021

Preprint

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The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over an Euclidean space. In this article, we review the last developments concerning this framework, focusing on the manifestly causal representation of multi-loop Feynman integrals and scattering amplitudes, and the definition of dual local counter-terms to cancel infrared singularities.

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confidence: 92%

A stroll through the loop-tree duality

Aguilera-Verdugo¹,

Driencourt-Mangin²,

Hernández-Pinto³

et al. 2021

Preprint

Self Cite

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“…One of the most important features of LTD is the distinction between physical and unphysical singularities at integrand level [8,9]. Besides this, LTD has other interesting characteristics: for instance, in numerical implementations the number of integration variables is independent of the number of external legs [10][11][12][13][14], it straightforward provides asymptotic expansions [15][16][17][18], and promising local renormalization approaches [19,20]. Furthermore, an important associated development was the proposal of computing cross sections directly in four space-time dimensions through the so-called, Four Dimensional Unsubtraction (FDU) [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Four-loop scattering amplitudes journey into the forest

Uribe¹,

Ramírez-Uribe²,

Hernández-Pinto³

et al. 2022

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2021)

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We present an overview of the analysis of the multiloop topologies that appear for the first time at four loops and the assembly of them in a general expression, the N 4 MLT universal topology. Based on the fact that the Loop-Tree Duality enables to open any scattering amplitude in terms of convolutions of known subtopologies, we go through the dual representation of the universal N 4 MLT topology and the manifestly causal representation. Additionally, we expose the application of a quantum algorithm as an alternative methodology to identify the causal singular configurations of multiloop Feynman diagrams.

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“…The LTD framework [25][26][27][28][29][30][31] opens any loop diagram into a sum of connected trees. This methodology has been deeply studied [32][33][34][35][36][37] and many applications have been developed [38][39][40][41][42][43][44][45][46][47]. In recent years the LTD has evolved in a significant way [48][49][50][51][52][53][54][55][56][57].…”

Section: Introductionmentioning

confidence: 99%