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In this talk we report on recent calculation of high energy baryon scattering amplitudes in QCD. Elastic baryon impact factors for two, three and four gluons are presented and their energy evolution is described that incorporates unitarity…

High Energy Physics - Phenomenology · Physics 2008-08-19 L. Motyka

We revive the idea of using physical anomalous dimensions in the QCD scale evolution of deep-inelastic structure functions and their scaling violations and present a detailed phenomenological study of its applicability. Differences with…

High Energy Physics - Phenomenology · Physics 2013-11-13 Martin Hentschinski , Marco Stratmann

The initial-state radiation of soft colour dipoles produced together with a single QCD Pomeron exchange (BFKL) in onium-onium scattering is calculated in the framework of Mueller's approach. The resulting dipole production grows with…

High Energy Physics - Phenomenology · Physics 2016-09-01 A. Bialas , R. Peschanski

On-shell amplitude methods allow to derive one-loop renormalization effects from just tree-level amplitudes, with no need of loop calculations. We derive a simple formula to obtain the anomalous dimensions of higher-dimensional operators…

High Energy Physics - Phenomenology · Physics 2021-05-05 Pietro Baratella , Clara Fernandez , Alex Pomarol

A complete description of the calculation of anomalous dimensions (GLAP splitting functions) is given for parton distributions which appear in space-like processes. The calculation is performed in the light-cone gauge. The results are in…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. K. Ellis , W. Vogelsang

We present a new contribution to the $K_L\rightarrow \gamma \gamma$ amplitude, which is ${\cal{O}}(p^4)$ within the counting rules of chiral perturbation theory. This direct (non-pole) amplitude, obtained from short-distance $s \rightarrow…

High Energy Physics - Phenomenology · Physics 2009-10-22 J. O. Eeg , I. Picek

In this paper $\gamma^* - \gamma^*$ scattering with large, but more or less equal virtualities of two photons is discussed using BFKL dynamics, emphasizing the large impact parameter behavior ($b_t$) of the dipole-dipole amplitude. It is…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Bondarenko , M. Kozlov , E. Levin

Using the solution of the BFKL equation including the leading and subleading conformal spin components, we show how the conformal invariance underlying the leading log 1/x expansion of perturbative QCD leads to elastic amplitudes described…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Munier , R. Peschanski

The appearance of the U(1) anomaly in the interactions of reggeized gluons is described. Also discussed is the crucial role the anomaly can play in providing the non-perturbative properties necessary for a transition from gluon and quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan R. White

We reinterpret the JIMWLK/KLWMIJ evolution equation as the QCD Reggeon field theory (RFT). The basic "quantum Reggeon field" in this theory is the unitary matrix $R$ which represents the single gluon scattering matrix. We discuss the…

High Energy Physics - Phenomenology · Physics 2010-10-27 Alex Kovner , Michael Lublinsky

Perturbative QCD predicts that the growth of the gluon density at high energies should saturate, forming a Color Glass Condensate (CGC), which is described in mean field approximation by the Balitsky-Kovchegov (BK) equation. In this paper…

High Energy Physics - Phenomenology · Physics 2015-05-19 V. P. Goncalves , M. S. Kugeratski , E. R. Cazaroto , F. Carvalho , F. S. Navarra

The traditional description of high-energy small-angle scattering in QCD has two components -- a soft Pomeron Regge pole for the tensor glueball, and a hard BFKL Pomeron in leading order at weak coupling. On the basis of gauge/string…

High Energy Physics - Theory · Physics 2009-10-09 Richard C. Brower , Joseph Polchinski , Matthew J. Strassler , Chung-I Tan

We evaluate the complete four-loop anomalous dimension matrix that is necessary for determining the effective flavour-changing neutral current couplings qbar-q'-gamma and qbar-q'-g at the next-to-next-to-leading order in QCD. The resulting…

High Energy Physics - Phenomenology · Physics 2010-10-27 Michal Czakon , Ulrich Haisch , Mikolaj Misiak

This paper investigates how tree-level amplitudes with massless quarks, gluons and/or massless scalars transforming under a single copy of the gauge group can be expressed in the context of the scattering equations as a sum over the…

High Energy Physics - Theory · Physics 2015-03-04 Stefan Weinzierl

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

Double parton fragmentation is a process in which a pair of partons produced in the short-distance process hadronize into the final state hadron. This process is important for quarkonium production when the transverse momentum is much…

High Energy Physics - Phenomenology · Physics 2013-05-01 Sean Fleming , Adam K. Leibovich , Thomas Mehen , Ira Z. Rothstein

We investigate $2 \to 3$ QCD scattering amplitudes in multi-Regge kinematics, i.e. where the final partons are strongly ordered in rapidity. In this regime amplitudes exhibit intriguing factorisation properties which can be understood in…

High Energy Physics - Phenomenology · Physics 2025-04-11 Federico Buccioni , Fabrizio Caola , Federica Devoto , Giulio Gambuti

The rapidity anomalous dimension controls the scaling of transverse momentum dependent observables in the Sudakov region. In a conformal theory it is equivalent to the soft anomalous dimension, but in QCD this relation is broken by…

High Energy Physics - Phenomenology · Physics 2022-09-14 Ian Moult , Hua Xing Zhu , Yu Jiao Zhu

We test the hypothesis that diffractive scattering in the perturbative and non-perturbative domain is determined by the exchange of a single pomeron with a scale dependent trajectory. Present data on diffractive vector meson production are…

High Energy Physics - Phenomenology · Physics 2015-08-12 H. G. Dosch , E. Ferreira

The goal of this paper is to sum over a class of enhanced diagrams, and derive a new Pomeron Green function. It is found that this sum gives the Pomeron contribution to the scattering amplitude that decreases with energy. In other words, we…

High Energy Physics - Phenomenology · Physics 2015-06-03 E. Levin , J. Miller