Climbing three-Reggeon ladders: Four-loop amplitudes in the high-energy limit in full color

Falcioni, Giulio; Gardi, Einan; Milloy, Calum; Vernazza, Leonardo

doi:10.1103/physrevd.103.l111501

Cited by 23 publications

(73 citation statements)

References 60 publications

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“…A significant increase in complexity arises upon considering the odd amplitude at the next-to-next-to-leading logarithmic (NNLL) approximation, which features both a Regge pole and a Regge cut [12,13,[20][21][22][23][24][25][26][27][28]. Since the high-energy analytic properties are only manifest upon resumming the entire perturbative series, it is not at all obvious how to disentangle the Regge pole from the Regge cut in an order-by-order computation.…”

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confidence: 99%

“…Key to this progress is the possibility to directly compute the contributions to the scattering amplitude from the t-channel MR exchange. Specifically, the NNLL tower of MR corrections is governed by triple Reggeon exchange and its mixing with a single Reggeon [13,[24][25][26][27][28] and there is now an established method [13,27,28], based on the shockwave formalism [17], to evaluate these contributions through an iterative solution of the Balitsky-JIMWLK rapidity evolution equation [29][30][31][32][33]. The entire tower of NNLL corrections only requires the leadingorder evolution kernel, thus yielding a universal result for all gauge theories [27,28].…”

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confidence: 99%

“…where T k corresponds to the colour generator associated with the parton k. The MR contribution can then be expressed [27,28] in terms of commutators of the operators…”

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confidence: 99%

“…It also provides a transparent separation between planar and nonplanar colour factors, as commutators of T 2 t and T 2 s−u are nonplanar [28]. The tower of NNLL MR contributions to the amplitude is most naturally expressed in terms of the reduced amplitude [13,27,28], via…”

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confidence: 99%

“…where Γ cusp i and γ i are, respectively, the cusp [37][38][39][40][41][42][43][44] and the collinear anomalous dimensions of parton i [43][44][45][46][47][48]. The reduced NNLL amplitude takes the form [27,28]:…”

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confidence: 99%

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Disentangling the Regge cut and Regge pole in perturbative QCD

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Gardi,

Maher

et al. 2021

Preprint

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confidence: 99%

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confidence: 99%

“…where T k corresponds to the colour generator associated with the parton k. The MR contribution can then be expressed [27,28] in terms of commutators of the operators…”

mentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Disentangling the Regge cut and Regge pole in perturbative QCD

Falcioni,

Gardi,

Maher

et al. 2021

Preprint

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Deciphering colour building blocks of massive multiparton amplitudes at 4-loops and beyond

Agarwal

Pal

Srivastav

et al. 2023

J. High Energ. Phys.

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The soft function in non-abelian gauge theories exponentiate, and their logarithms can be organised in terms of the collections of Feynman diagrams called Cwebs. The colour factors that appear in the logarithm are controlled by the web mixing matrices. Direct construction of the diagonal blocks of Cwebs using the new concepts of Normal ordering, basis Cweb and Fused-Web was recently carried out in [1]. In this article we establish correspondence between the boomerang webs introduced in [2] and non-boomerang Cwebs. We use this correspondence together with Uniqueness theorem and Fused web formalism introduced in [1] to obtain the diagonal blocks of four general classes of Cwebs to all orders in perturbation theory which also cover all the four loop Boomerang Cwebs connecting four Wilson lines. We also fully construct the mixing matrix of a special Cweb to all orders in perturbation theory.

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Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops

Falcioni

Gardi

Maher

et al. 2022

J. High Energ. Phys.

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Using rapidity evolution equations we study two-to-two gauge-theory scattering amplitudes in the Regge limit. We carry out explicit computations at next-to-next-to-leading logarithmic accuracy through four loops and present new results for both infrared-singular and finite contributions to the amplitude. New techniques are devised in order to derive the colour structure stemming from three-Reggeon exchange diagrams in terms of commutators of channel operators, obtaining results that are valid for any gauge group, and apply to scattered particles in any colour representation. We also elucidate the separation between contributions to the Regge cut and Regge pole in the real part of the amplitude to all loop orders. We show that planar contributions due to multiple-Reggeon exchange diagrams can be factorised as a Regge pole along with the single-Reggeon exchange, and when this is done, the singular part of the gluon Regge trajectory is directly determined by the cusp anomalous dimension. We explicitly compute the Regge cut component of the amplitude through four loops and show that it is non-planar. From a different perspective, the new results provide important information on soft singularities in general kinematics beyond the planar limit: by comparing the computed corrections to the general form of the four-loop soft anomalous dimension we derive powerful constraints on its kinematic dependence, opening the way for a bootstrap-based determination.

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Climbing three-Reggeon ladders: Four-loop amplitudes in the high-energy limit in full color

Cited by 23 publications

References 60 publications

Disentangling the Regge cut and Regge pole in perturbative QCD

Disentangling the Regge cut and Regge pole in perturbative QCD

Deciphering colour building blocks of massive multiparton amplitudes at 4-loops and beyond

Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops

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