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Related papers: BFKL at Next-to-Next-to-Leading Order

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We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

We present a calculation of the next-to-leading order (O(alpha_s^2 alpha)) QCD corrections to heavy flavor photoproduction with longitudinally polarized beams. We apply our results to study the longitudinal spin asymmetry for the total…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. Bojak , M. Stratmann

We discuss the determination of polarized parton distributions from a next-to-leading order analysis of recent experimental data. We extract the first moment of the polarized quark and gluon distribution and assess the corresponding…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte , Richard D. Ball , Giovanni Ridolfi

QCD factorization takes different forms in the large-x and small-x regimes. At large-x, collinear factorization leads to the DGLAP evolution equation, while at small-x, rapidity factorization results in the BFKL equation. To unify these…

High Energy Physics - Phenomenology · Physics 2024-07-22 Swagato Mukherjee , Vladimir Skokov , Andrey Tarasov , Shaswat Tiwari

The Balitskii-Fadin-Kuraev-Lipatov (BFKL) and the Gribov-Lipatov- Dokshitzer-Altarelli-Parisi (GLDAP) evolution equations for the diffractive deep inelastic scattering at ${1\over x} \gg 1$ are shown to have a common solution in the weak…

High Energy Physics - Phenomenology · Physics 2016-08-14 N. N. Nikolaev , B. G. Zakharov

We resum the recently calculated second order kernel of the BFKL equation. That kernel can be viewed as the sum of a conformally invariant part and a running coupling part. The conformally invariant part leads to a corrected BFKL intercept…

High Energy Physics - Phenomenology · Physics 2009-10-31 Yuri V. Kovchegov , A. H. Mueller

The dipole form of the gluon part of the colour singlet BFKL kernel in the next-to-leading order (NLO) is obtained in the coordinate representation by direct transfer from the momentum representation, where the kernel was calculated before.…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. S. Fadin , R. Fiore , A. V. Grabovsky , A. Papa

Perturbative solutions for unpolarized QED parton distribution and fragmentation functions are presented explicitly in the next-to-leading logarithmic approximation. The scheme of iterative solution of QED evolution equations is described…

High Energy Physics - Phenomenology · Physics 2023-09-06 A. B. Arbuzov , U. E. Voznaya

We investigate the impact of so called kinematic constraint on gluon evolution at small $x$. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integro-differential form of BFKL equation. Later we…

High Energy Physics - Phenomenology · Physics 2020-04-22 P. Phukan , M. Lalune , J. K. Sarma

Recently, there has been significant progress in computing scattering amplitudes in the high-energy limit using rapidity evolution equations. We describe the state-of-the-art and demonstrate the interplay between exponentiation of…

High Energy Physics - Phenomenology · Physics 2019-12-24 Einan Gardi , Simon Caron-Huot , Joscha Reichel , Leonardo Vernazza

We propose a modified Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the summation of large $\ln(1/x)$, $x$ being the Bjorken variable, which contains an extra dependence on momentum transfer $Q$ compared to the conventional BFKL…

High Energy Physics - Phenomenology · Physics 2009-09-25 Jyh-Liong Lim , Hsiang-nan Li

We show that a scale invariant approximation to the next-to-leading order BFKL kernel, constructed via transverse momentum diagrams, has a simple conformally invariant representation in impact parameter space i.e. K(r1,r2,r1',r2') = g^4 N^2…

High Energy Physics - Phenomenology · Physics 2016-08-15 Claudio Corianò , Alan R. White , Mark Wüsthoff

We examine dijet production at large rapidity intervals at Tevatron energies by comparing an exact ${\cal O}(\alpha_s^3)$ calculation with the BFKL approximation, which resums the leading powers of the rapidity interval $y$ to all orders in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Vittorio Del Duca , Carl R. Schmidt

We investigate the stability under variation of the renormalization, factorization and energy scales entering the calculation of the cross section, at next-to-leading order in the BFKL formalism, for the production of Mueller-Navelet jets…

High Energy Physics - Phenomenology · Physics 2015-06-16 F. Caporale , B. Murdaca , A. Sabio Vera , C. Salas

The use of the BFKL kernel improved by the inclusion of subleading terms generated by renormalization group (RG) analysis has been suggested to cure the instabilities in the behavior of the BFKL Green's function in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2008-11-26 Francesco Caporale , Alessandro Papa , Agustin Sabio Vera

An iterative solution best suited for a Monte Carlo implementation is presented for the non-forward BFKL equation in a generic color representation. We introduce running coupling effects compatible with bootstrap to all orders in…

High Energy Physics - Phenomenology · Physics 2012-06-12 G. Chachamis , A. Sabio Vera , C. Salas

We calculate the one-loop squared contributions to the next-to-next-to-leading order ${\cal O}(\alpha^2\alpha_s^2)$ radiative QCD corrections for the production of heavy quark pairs in the collisions of unpolarized on--shell photons. In…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. G. Korner , Z. Merebashvili , M. Rogal

We present the full next-to-leading order (NLO) prediction for the jet-gap-jet cross section at the LHC within the BFKL approach. We implement, for the first time, the NLO impact factors in the calculation of the cross section. We provide…

High Energy Physics - Phenomenology · Physics 2023-07-05 Dimitri Colferai , Federico Deganutti , Timothy G Raben , Christophe Royon

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

I examine the solution of the BFKL equation with NLO corrections relevant for deep inelastic scattering. Particular emphasis is placed on the part played by the running of the coupling. It is shown that the solution factorizes into a part…

High Energy Physics - Phenomenology · Physics 2009-10-31 R. S. Thorne
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