Gluon Reggeization in Yang-Mills theories

Fadin, V. S.; Kozlov, Mikhail; Резниченко, А. В.

doi:10.1103/physrevd.92.085044

Cited by 34 publications

(40 citation statements)

References 84 publications

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“…All terms ∼ r ± in the rapidity-regulator variable r cancel between diagrams and only log r-divergence is left. It is checked on several examples, that obtained results indeed allow one to reproduce Regge limit of one-loop QCD scattering amplitudes.(NLLA) [28,29,30]. It is natural to ask for the systematic tool, which makes this property of QCD scattering amplitudes manifest.…”

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confidence: 99%

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Computing one-loop corrections to effective vertices with two scales in the EFT for Multi-Regge processes in QCD

Nefedov

2019

Nuclear Physics B

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The computation of one-loop corrections to Reggeon-Particle-Particle effective vertices with two scales of virtuality is considered in the framework of gauge-invariant effective field theory for Multi-Regge processes in QCD. Rapidity divergences arising in loop integrals are regulated by "tilted Wilson lines" prescription. General analysis of rapidity divergences at one loop is given and necessary scalar integrals with one and two scales of virtuality are computed. Two examples of effective vertices at one loop are considered: the effective vertex of interaction of (space-like) virtual photon with one Reggeized and one Yang-Mills quark and the effective vertex of Reggeized gluon to Yang-Mills gluon transition with an insertion of the operator tr [G µν G µν ] carrying the (space-like) off-shell momentum. All terms ∼ r ± in the rapidity-regulator variable r cancel between diagrams and only log r-divergence is left. It is checked on several examples, that obtained results indeed allow one to reproduce Regge limit of one-loop QCD scattering amplitudes.(NLLA) [28,29,30]. It is natural to ask for the systematic tool, which makes this property of QCD scattering amplitudes manifest. The gauge-invariant Effective Field Theory (EFT) for Multi-Regge processes in QCD [31,32] is such a tool. In the original papers [31,32], the Reggeization of gluon and quark was shown to hold in a framework of EFT in the LLA. Computing loop corrections in this EFT one finds a new type of divergences of loop integrals, the so-called rapidity divergences, which will be discussed in the forthcoming sections of the present paper. Similar divergences also arise in the context of Soft-Collinear Effective Theory (SCET) 1 [35,36] and Transverse-Momentum-Dependent (TMD) factorization [37,38] and several prescriptions to regularize them, such as analytic regularization [35], δ-regularization [39] and "tilted Wilson lines" regularization [37,38] where introduced in the literature. Among mentioned prescriptions, only the last one does not modify the standard definition of the Wilson lines, and therefore it can be relatively straightforwardly applied to the High-Energy EFT [31,32]. First such applications where performed in the Refs. [40,41,42] where one-loop corrections to the propagator of Reggeized gluon and effective vertices of interaction of on-shell quark and gluon with one Reggeized gluon where computed in the framework of EFT, and found to be consistent with the results obtained earlier from QCD. Later, the two-loop Regge trajectory of a gluon was extracted from a rapidity-divergent part of the two-loop correction to a Reggeized gluon propagator in the EFT [43] and it coincides with known QCD result. Also, the calculation of the one-loop correction to the propagator of Reggeized quark (Q) and vertex of interaction of on-shell photon with one Reggeized and one QCD quark (Qγq-vertex) has been done in the Ref. [44] and it was shown, that this results allow one to reproduce the Multi-Regge asymptotics of the positive-signature part of the one-loop QC...

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confidence: 99%

“…(NLLA) [28,29,30]. It is natural to ask for the systematic tool, which makes this property of QCD scattering amplitudes manifest.…”

mentioning

confidence: 99%

Computing one-loop corrections to effective vertices with two scales in the EFT for Multi-Regge processes in QCD

Nefedov

2019

Nuclear Physics B

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“…Reggeized gluons,^=^, = ln( / 0 ),^is the universal (process-independent) BFKL kernel, which determines the energy dependence of scattering amplitudes and is expressed through the gluon trajectory and the Reggeon vertices. Validity of the pole Regge form is proved now in all orders of perturbation theory in the coupling constant both in the LLA [5], and in the NLLA (see [6,7] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Regge Cuts and NNLLA BFKL

Fadin¹

2019

Ukr. J. Phys.

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In the leading and next-to-leading logarithmic approximations, QCD amplitudes with gluon quantum numbers in cross-channels and negative signature have the pole form corresponding to a reggeized gluon. The famous BFKL equation was derived using this form. In the next-to-next-to-leading approximation (NNLLA), the pole form is violated by contributions of Regge cuts. We discuss these contributions and their impact on the derivation of the BFKL equation in the NNLLA.

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“…It is just the accuracy which is required for the derivation of the BFKL equation in the NLLA. Validity of the forms (1) and (5 is proved now in all orders of perturbation theory in the coupling constant g both in the LLA [7] and in the NLLA [8,9,10,11,12]. Note that the simple factorized form (5 is valid only for the real part of the amplitudes (the sign ℜ in the Equation (5) means "real part").…”

Section: The Scheme Of Derivation Of the Bfkl Equationmentioning

confidence: 99%