Description of π−p → c + anything at 16 GeV/c laboratory momentum in the triple-regge limit

Abstract The Operator Product Expansion is a useful tool to represent correlation functions. In this note we extend Conformal Regge theory to provide an exact OPE representation of Lorenzian four-point correlators in conformal field theory, valid even away from Regge limit. The representation extends convergence of the OPE by rewriting it as a double integral over continuous spins and dimensions, and features a novel “Regge block”. We test the formula in the conformal fishnet theory, where exact results involving nontrivial Regge trajectories are available.

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Two-parton scattering amplitudes in the Regge limit to high loop orders

Journal of High Energy Physics ◽

10.1007/jhep08(2020)116 ◽

2020 ◽

Vol 2020 (8) ◽

Cited By ~ 1

Author(s):

Simon Caron-Huot ◽

Einan Gardi ◽

Joscha Reichel ◽

Leonardo Vernazza

Keyword(s):

Scattering Amplitudes ◽

Scattering Amplitude ◽

Dimensional Regularization ◽

High Energy ◽

Logarithmic Order ◽

Finite Radius ◽

High Loop ◽

Parton Scattering ◽

Infrared Divergences ◽

Regge Limit

Abstract We study two-to-two parton scattering amplitudes in the high-energy limit of perturbative QCD by iteratively solving the BFKL equation. This allows us to predict the imaginary part of the amplitude to leading-logarithmic order for arbitrary t-channel colour exchange. The corrections we compute correspond to ladder diagrams with any number of rungs formed between two Reggeized gluons. Our approach exploits a separation of the two-Reggeon wavefunction, performed directly in momentum space, between a soft region and a generic (hard) region. The former component of the wavefunction leads to infrared divergences in the amplitude and is therefore computed in dimensional regularization; the latter is computed directly in two transverse dimensions and is expressed in terms of single-valued harmonic polylogarithms of uniform weight. By combining the two we determine exactly both infrared-divergent and finite contributions to the two-to-two scattering amplitude order-by-order in perturbation theory. We study the result numerically to 13 loops and find that finite corrections to the amplitude have a finite radius of convergence which depends on the colour representation of the t-channel exchange.

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On the Regge limit of Fishnet correlators

Journal of High Energy Physics ◽

10.1007/jhep10(2019)249 ◽

2019 ◽

Vol 2019 (10) ◽

Cited By ~ 3

Author(s):

Subham Dutta Chowdhury ◽

Parthiv Haldar ◽

Kallol Sen

Keyword(s):

Regge Limit

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All-loop-orders relation between Regge limits of $$ \mathcal{N} $$ = 4 SYM and $$ \mathcal{N} $$ = 8 supergravity four-point amplitudes

Journal of High Energy Physics ◽

10.1007/jhep02(2021)044 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Stephen G. Naculich

Keyword(s):

Infrared Divergence ◽

Loop Order ◽

Loop Correction ◽

Divergence Structure ◽

Regge Limit ◽

Point Amplitude

Abstract We examine in detail the structure of the Regge limit of the (nonplanar) $$ \mathcal{N} $$ N = 4 SYM four-point amplitude. We begin by developing a basis of color factors Cik suitable for the Regge limit of the amplitude at any loop order, and then calculate explicitly the coefficients of the amplitude in that basis through three-loop order using the Regge limit of the full amplitude previously calculated by Henn and Mistlberger. We compute these coefficients exactly at one loop, through $$ \mathcal{O}\left({\upepsilon}^2\right) $$ O ϵ 2 at two loops, and through $$ \mathcal{O}\left({\upepsilon}^0\right) $$ O ϵ 0 at three loops, verifying that the IR-divergent pieces are consistent with (the Regge limit of) the expected infrared divergence structure, including a contribution from the three-loop correction to the dipole formula. We also verify consistency with the IR-finite NLL and NNLL predictions of Caron-Huot et al. Finally we use these results to motivate the conjecture of an all-orders relation between one of the coefficients and the Regge limit of the $$ \mathcal{N} $$ N = 8 supergravity four-point amplitude.

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