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

Two-parton scattering amplitudes in the Regge limit to high loop orders
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Regge 限制中的两部分散射振幅高环阶

DOI:
10.1007/jhep08(2020)116
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发表时间:
2020
影响因子:
5.4
通讯作者:
L. Vernazza
L. Vernazza
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Caron;E. Gardi;J. Reichel;L. Vernazza

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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.
红外方法进行调整
DOI: 10.1103/physrevd.85.071104
发表时间: 2012
期刊: Physical Review D
影响因子: 5
作者:
Del Duca V
通讯作者: Del Duca V
DOI: 10.1007/jhep12(2011)021
发表时间: 2011
影响因子: 5.4
作者:
Del Duca V
通讯作者: Del Duca V