scholarly journals On correlators of Reggeon fields and operators of Wilson lines in high energy QCD

2018 ◽  
Vol 33 (35) ◽  
pp. 1850204 ◽  
Author(s):  
S. Bondarenko ◽  
S. Pozdnyakov
Keyword(s):  
Effective Action ◽  
Wilson Line ◽  
High Energy ◽  
Reggeized Gluon

In this paper we derive Dyson–Schwinger hierarchy of the equations for the correlators of reggeized gluon fields in the framework of Lipatov’s high energy QCD effective action formalism.[Formula: see text] The explicit perturbative expressions for the correlators till correlator of four Reggeon fields inclusively are obtained and different perturbative schemes for the solutions of the equation for the two-field correlator are discussed. A correspondence between the correlators of reggeized gluon fields and Wilson line operators of longitudinal gluon field is established with the help of the results of Ref. 10. The connection between the JIMWLK-Balitsky formalism and Lipatov’s effective action approach and applications of the obtained results are also discussed.

scholarly journals HIGH ENERGY FACTORIZATION AT NLO: LIPATOV'S EFFECTIVE ACTION REVISITED

2014 ◽  
Vol 25 ◽  
pp. 1460027
Author(s):  
G. CHACHAMIS ◽  
M. HENTSCHINSKI ◽  
J. D. MADRIGAL MARTÍNEZ ◽  
A. SABIO VERA
Keyword(s):  
Regge Trajectory ◽  
Effective Action ◽  
Gluon Propagator ◽  
High Energy ◽  
Reggeized Gluon ◽  
Self Energy

We discuss aspects of our recent derivation of the gluon Regge trajectory at two loop from Lipatov's high energy effective action. We show how the gluon Regge trajectory can be rigorously defined through renormalization of the high energy divergence of the reggeized gluon propagator. We furthermore provide some details on the determination of the two-loop reggeized gluon self-energy.

EVOLUTION OF CONFORMAL COLOR DIPOLES AND HIGH-ENERGY AMPLITUDES IN $\mathcal{N} = 4$ SYM

2011 ◽  
Vol 04 ◽  
pp. 9-19
Author(s):  
IAN BALITSKY
Keyword(s):  
Perturbation Theory ◽  
Wilson Line ◽  
Energy Operator ◽  
High Energy ◽  
Conformal Structure ◽  
Coefficient Function ◽  
Large N ◽  
Energy Behavior ◽  
Regge Limit ◽  
Point Amplitude

The high-energy behavior of the [Formula: see text] SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large Nc, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in the first two orders in coupling constant: BFKL intercept and NLO BFKL intercept calculated in Ref. [1]. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four Z2 currents in the first two orders in perturbation theory.

HIGH-ENERGY AMPLITUDES IN ${\cal N}\, = \,4$ SYM IN THE NEXT-TO-LEADING ORDER

2010 ◽  
Vol 25 (02n03) ◽  
pp. 401-410 ◽  
Author(s):  
IAN BALITSKY
Keyword(s):  
Wilson Line ◽  
Energy Operator ◽  
High Energy ◽  
Conformal Structure ◽  
Coefficient Function ◽  
Leading Order ◽  
Large N ◽  
Energy Behavior ◽  
Regge Limit ◽  
Point Amplitude

The high-energy behavior of the of [Formula: see text] SYM amplitudes in the Regge limit can be calculated order by order in perturbation theory using the high-energy operator expansion in Wilson lines. At large Nc, a typical four-point amplitude is determined by a single BFKL pomeron. The conformal structure of the four-point amplitude is fixed in terms of two functions: pomeron intercept and the coefficient function in front of the pomeron (the product of two residues). The pomeron intercept is universal while the coefficient function depends on the correlator in question. The intercept is known in first two orders in coupling constant : LO BFKL intercept and NLO BFKL calculated in Ref. [1]. As an example of using the Wilson-line OPE, we calculate the coefficient function in front of the pomeron for the correlator of four Z2 currents in the leading and next-to-leading order.

scholarly journals Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy

2021 ◽  
Vol 81 (2) ◽  
Author(s):  
M. Hentschinski ◽  
K. Kutak ◽  
A. van Hameren
Keyword(s):  
Effective Action ◽  
High Energy ◽  
Higgs Production ◽  
Explicit Calculation ◽  
Leading Order ◽  
Forward Region ◽  
Transverse Momentum Dependent ◽  
Heavy Quark Limit ◽  
Proper Definition ◽  
Definition Of

AbstractWe use Lipatov’s high energy effective action to determine the next-to-leading order corrections to Higgs production in the forward region within high energy factorization making use of the infinite top mass limit. Our result is based on an explicit calculation of real corrections combined with virtual corrections determined earlier by Nefedov. As a new element we provide a proper definition of the desired next-to-leading order coefficient within the high energy effective action framework, extending a previously proposed prescription. We further propose a subtraction mechanism to achieve for this coefficient a stable cancellation of real and virtual infra-red singularities in the presence of external off-shell legs. Apart from its relevance for direct phenomenological studies, such as high energy resummation of Higgs $$+$$ + jet configurations, our result will be further of use for the study of transverse momentum dependent factorization in the high energy limit.

scholarly journals HIGH-ENERGY QCD FACTORIZATION FROM DIS TO pA COLLISIONS

2012 ◽  
Vol 20 ◽  
pp. 200-207 ◽  
Author(s):  
GIOVANNI ANTONIO CHIRILLI
Keyword(s):  
Gluon Distribution ◽  
Wilson Line ◽  
Energy Operator ◽  
High Energy ◽  
Distribution Functions ◽  
Operator Product ◽  
Parton Distribution Functions ◽  
Qcd Factorization ◽  
Fragmentation Functions ◽  
Line Operator

The high-energy QCD factorization for Deep Inelastic Scattering and for proton-nucleus collisions using Wilson line formalism and factorization in rapidity is discussed. We show that in DIS the factorization in rapidity reduces to the k T -factorization when the 2-gluon approximation is applied, provided that the composite Wilson line operator is used in the high-energy Operator Product Expansion. We then show that the inclusive forward cross-section in proton-nucleus collisions factorizes in parton distribution functions, fragmentation functions and dipole gluon distribution function at one-loop level.

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