scholarly journals The Regge Limit and infrared singularities of QCD scattering amplitudes to all orders

2018 ◽  
Author(s):  
Leonardo Vernazza ◽  
Simon Caron-Huot ◽  
Einan Gardi ◽  
Joscha Reichel
Keyword(s):  
Scattering Amplitudes ◽  
Regge Limit ◽  
Infrared Singularities

scholarly journals Infrared singularities of QCD scattering amplitudes in the Regge limit to all orders

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Simon Caron-Huot ◽  
Einan Gardi ◽  
Joscha Reichel ◽  
Leonardo Vernazza
Keyword(s):  
Scattering Amplitudes ◽  
Regge Limit ◽  
Infrared Singularities

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

2020 ◽  
Vol 2020 (8) ◽  
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.

scholarly journals A tale of two Regge limits

2018 ◽  
Vol 192 ◽  
pp. 00009
Author(s):  
Vittorio Del Duca
Keyword(s):  
Scattering Amplitudes ◽  
Mathematical Structure ◽  
Yang Mills ◽  
Regge Limit ◽  
Super Yang Mills Theory

In light of the strong advances in understanding the mathematical structure of scattering amplitudes, we discuss the Regge limit of QCD and of the N = 4 Super Yang-Mills theory.

AdS/CFT: SCATTERING AMPLITUDES IN THE REGGE LIMIT – FROM WEAK TO STRONG COUPLING

2011 ◽  
Vol 04 ◽  
pp. 26-34
Author(s):  
J. BARTELS
Keyword(s):  
Scattering Amplitudes ◽  
Recent Work ◽  
Strong Coupling ◽  
Scattering Amplitude ◽  
Remainder Function ◽  
Regge Limit

I briefly review recent work, within the AdS/CFT correspondence, on the determination of the remainder function of the six point scattering amplitude in the multi-Regge limit, both at weak and at strong coupling.

scholarly journals Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Lance J. Dixon ◽  
Yu-Ting Liu ◽  
Julian Miczajka
Keyword(s):  
Scattering Amplitudes ◽  
Series Expansion ◽  
Yang Mills ◽  
Multiple Polylogarithms ◽  
Bootstrap Approach ◽  
Mellin Representation ◽  
Regge Limit ◽  
Logarithmic Accuracy ◽  
Super Yang Mills Theory

Abstract We compute all 2 → 5 gluon scattering amplitudes in planar $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory in the multi-Regge limit that is sensitive to the non-trivial (“long”) Regge cut. We provide the amplitudes through four loops and to all logarithmic accuracy at leading power, in terms of single-valued multiple polylogarithms of two variables. To obtain these results, we leverage the function-level results for the amplitudes in the Steinmann cluster bootstrap. To high powers in the series expansion in the two variables, our results agree with the recently conjectured all-order central emission vertex used in the Fourier-Mellin representation of amplitudes in multi-Regge kinematics. Our results therefore provide a resummation of the Fourier-Mellin residues into single-valued polylogarithms, and constitute an important cross-check between the bootstrap approach and the all-orders multi-Regge proposal.

scholarly journals A Stroll through the Loop-Tree Duality

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1029
Author(s):  
José de Jesús Aguilera-Verdugo ◽  
Félix Driencourt-Mangin ◽  
Roger José Hernández-Pinto ◽  
Judith Plenter ◽  
Renato Maria Prisco ◽  
...  
Keyword(s):  
Scattering Amplitudes ◽  
Euclidean Space ◽  
Feynman Integrals ◽  
Innovative Technique ◽  
Causal Representation ◽  
Definition Of ◽  
Infrared Singularities

The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over a 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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