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Related papers: $t$-Channel Unitarity Construction of Small-x Kern…

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Using reggeon diagrams as a partial implementation of $t$-channel unitarity, $O(g^4)$ corrections to the BFKL evolution equation have been obtained. We describe the spectrum and holomorphic factorization properties of the resulting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Claudio Coriano' , A. R. White

In a non-abelian gauge theory the $t$-channel multiparticle unitarity equations continued in the complex j-plane can be systematically expanded around $j=1$. The combination of Ward identity constraints with unitarity is sufficient to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Claudio Coriano` , Alan R. White

Starting from the multi-Regge effective action for high-energy scattering in QCD a $t$-channel approach can be developed which is similar to the approach by White based on general Regge arguments. The BFKL kernel of reggeized gluon…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Kirschner

Our aim is to show how the reggeization of the gluon, encoded in the bootstrap property of the BFKL kernel, permits to calculate the interaction kernel in the octet colour channel in the forward and non forward direction, for the quark…

High Energy Physics - Phenomenology · Physics 2016-11-23 G. P. Vacca

Recently the non-forward BFKL kernel for interaction of two Reggeized gluons in the antisymmetric colour octet state in the $t$-channel was obtained in the next-to-leading order. It gives the possibility to check in this order the bootstrap…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. S. Fadin , R. Fiore , M. I. Kotsky

To find the region of applicability of the leading log(1/x) approximation for parton distributions in the small x region and to fix the argument of the QCD running coupling it is necessary to know radiative corrections to the kernel of the…

High Energy Physics - Phenomenology · Physics 2008-02-03 V. S. Fadin , M. I. Kotsky , L. N. Lipatov

We study the scale-invariant $O(g^4)$ kernel which appears as an infra-red contribution in the BFKL evolution equation and is constructed via multiparticle $t$-channel unitarity. We detail the variety of Ward identity constraints and…

High Energy Physics - Phenomenology · Physics 2016-09-01 Claudio Coriano' , Alan R. White

We calculate the quark part of the kernel of the generalized non-forward BFKL equation at non-zero momentum transfer $t$ in the next-to-leading logarithmic approximation. Along with the quark contribution to the gluon Regge trajectory, this…

High Energy Physics - Phenomenology · Physics 2016-08-25 V. S. Fadin , R. Fiore , A. Papa

I discuss radiative corrections to the BFKL equation for high energy cross sections in perturbative QCD. Due to the gluon Reggeization in the next-to-leading $\ln s$ approximation, the form of the BFKL equation remains unchanged and the…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. S. Fadin

After a brief review of the BFKL approach to Regge processes in QCD and in supersymmetric (SUSY) gauge theories we propose a strategy for calculating the next-to-next-to-leading order corrections to the BFKL kernel. They can be obtained in…

High Energy Physics - Theory · Physics 2009-09-02 J. Bartels , L. N. Lipatov , A. Sabio Vera

The dispersion relations for nucleon-nucleon (NN) T-matrix in the framework of Bethe-Salpeter equation for two spin one-half particle system and with separable kernel of interaction are considered in the paper. The developed expressions are…

Nuclear Theory · Physics 2009-11-07 Serge G. Bondarenko , Valery V. Burov , Naohide Hamamoto , Hiroshi Toki

We consider scattering amplitudes in string models in the Regge limit of high energies and fixed momentum transfers with the use of the unitarity in direct channels. Intermediate states are taken in the multi-Regge kinematics corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. S. Danilov , L. N. Lipatov

Progress in the understanding of the BFKL approach in the NLL approximation is reported. The study based on the iteration of the kernel using the exponentiation of the gluon Regge trajectory is reviewed in QCD and N=4 super Yang-Mills…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agustin Sabio Vera

A novel method for constructing a Bethe-Salpeter kernel for the meson bound-state problem is described. It produces a closed-form kernel that is symmetry-consistent (discrete and continuous) with the gap equation defined by any admissible…

High Energy Physics - Phenomenology · Physics 2021-08-11 Si-Xue Qin , Craig D. Roberts

In the high energy Regge limit, the six gluons scattering amplitude is controlled by the adjoint BFKL eigenvalue and impact factor. In this paper we determine these two building blocks at any value of the 't Hooft coupling in planar…

High Energy Physics - Theory · Physics 2015-06-22 Benjamin Basso , Simon Caron-Huot , Amit Sever

The solution for the nucleon-nucleon T matrix in the framework of the covariant Bethe-Salpeter approach for a two spin-one-half particle system with a separable kernel of interaction is analyzed. The explicit analytical connection between…

Nuclear Theory · Physics 2009-11-07 S. G. Bondarenko , V. V. Burov , N. Hamamoto , A. Hosaka , Y. Manabe , H. Toki

The generalization of the BFKL equation for the case of non-forward scattering is considered. The kernel of the generalized equation in the next-to-leading approximation is expressed in terms of the gluon Regge trajectory and the effective…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. S. Fadin , R. Fiore

In the paper the covariant kernel of the nucleon-nucleon interaction of particles with scalar propagators is analyzed. The Bethe-Salpeter equation for the T matrix is considered in the rank- one separable kernel. The parameters of the…

Nuclear Theory · Physics 2018-08-01 S. G. Bondarenko , V. V. Burov , S. A. Yurev

We recall the origin of angular ordering of soft parton emission in the region of small $x$ and show that this coherent structure can be detected in associated distributions. For structure functions at small $x$ and at fixed transverse…

High Energy Physics - Phenomenology · Physics 2009-10-28 Giuseppe Marchesini

It is shown that the kernel of the BFKL equation for the octet color state of two Reggeized gluons satisfies the strong bootstrap condition in the next-to-leading order. This condition is much more restrictive than the one obtained from the…

High Energy Physics - Phenomenology · Physics 2015-06-25 V. S. Fadin , A. Papa
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