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A review of some theoretical aspects of small x QCD physics is given, with a particular emphasis to the relation between the BFKL and the colour dipole approaches. The nonlinear evolution equations one may construct, as a better…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. P. Vacca

Recent concerns about the very large next-to-leading logarithmic (NLL) corrections to the BFKL equation are addressed by the introduction of a physical rapidity-separation parameter $\Delta$. At the leading logarithm (LL) this parameter…

High Energy Physics - Phenomenology · Physics 2016-08-25 Carl R. Schmidt

The QED renormalization is restudied by using a mass-dependent subtraction which is performed at a time-like renormalization point. The subtraction exactly respects necessary physical and mathematical requirements such as the gauge…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Xue-Xi Yi , Ying-Hui Cao

We study the evolution of the small $x$ gluon transverse momentum dependent(TMD) distribution in the dilute limit. The calculation has been carried out in the Ji-Ma-Yuan scheme using a simple quark target model. As expected, we find that…

High Energy Physics - Phenomenology · Physics 2016-07-20 Jian Zhou

We note the differences between the Kovchegov equation and the Balitsky-JIMWLK equations as methods of evaluating high energy hard scattering near the unitarity limit. We attempt to simulate some of the correlations absent in the Kovchegov…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. H. Mueller , A. I. Shoshi

Functional renormalisation group approach is applied to a system of kaons with finite chemical potential. A set of approximate flow equations for the effective couplings is derived and solved. At high scale the system is found to be at the…

Nuclear Theory · Physics 2017-06-07 Boris Krippa

This is an extended and pedagogically oriented version of our recent work, in which we proposed an improvement of the splitting functions at small x which overcomes the apparent problems encountered by the BFKL approach.

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

We prove the renormalizability of a quark-gluon model with a soft breaking of the BRST symmetry, which accounts for the modification of the large distance behavior of the quark and gluon correlation functions. The proof is valid to all…

High Energy Physics - Theory · Physics 2010-09-27 L. Baulieu , M. A. L. Capri , A. J. Gomez , V. E. R. Lemes , R. F. Sobreiro , S. P. Sorella

I consider the next-to-leading,high-energy cluster expansion of large-k double-jet production in QCD, and I determine the corresponding one-loop quark and gluon impact factors, for a self-consistent energy scale. The result shows that…

High Energy Physics - Phenomenology · Physics 2009-09-25 Marcello Ciafaloni

We present some results on renormalization and factorization scale dependence of soft-gluon resummation, at the next-to-leading-logarithmic level, in the fixed-target hadro-production cross-section for prompt photons.

High Energy Physics - Phenomenology · Physics 2008-11-26 Carlo Oleari

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

After reviewing how the renormalization group equation can be used to sum logarithmic corrections to the decay rate for the semi-leptonic process b->u when using minimal subtraction, we consider renormalization scheme dependence for this…

High Energy Physics - Phenomenology · Physics 2015-12-04 D. G. C. McKeon

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet

We study in the BFKL approach the total hadronic cross section for the collision of two virtual photons for energies in the range of LEP2 and in the range of future linear colliders. The BFKL resummation is done at the next-to-leading order…

High Energy Physics - Phenomenology · Physics 2008-12-18 Francesco Caporale , Dmitry Yu. Ivanov , Alessandro Papa

We investigate the scale dependence of transverse momentum dependent(TMD) gluon distribution in saturation regime. We found that in the Collins-2011 scheme, the scale dependence of small x gluon TMD is governed by the same renormalization…

High Energy Physics - Phenomenology · Physics 2019-04-03 Jian Zhou

We extend our previous results on small-x resummation in the pure Yang--Mills theory to full QCD with nf quark flavours, with a resummed two-by-two matrix of resummed quark and gluon splitting functions. We also construct the corresponding…

High Energy Physics - Phenomenology · Physics 2008-11-26 Guido Altarelli , Richard D. Ball , Stefano Forte

The large-beta_0 limit of QCD is discussed, with the emphasize on simple technical methods of calculating various quantities at the order 1/\beta_0. Many examples, mainly from heavy quark physics, are considered. Some QCD results based on…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Grozin

We study the coupled equations describing fluctuations of scalars and the metric about background solutions of N=8 gauged supergravity which are dual to boundary field theories with renormalization group flow. For the case of a kink…

High Energy Physics - Theory · Physics 2007-05-23 Oliver DeWolfe , Daniel Z. Freedman

We explain how the strategy of solving renormalization problems in HQET non-perturbatively by a matching to QCD in finite volume can be implemented to include dynamical fermions. As a primary application, some elements of an HQET…

High Energy Physics - Lattice · Physics 2008-11-26 Michele Della Morte , Patrick Fritzsch , Jochen Heitger , Harvey B. Meyer , Hubert Simma , Rainer Sommer

The property of gluon Reggeization plays an essential role in the derivation of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation for the cross sections at high energy $\sqrt s$ in perturbative QCD. This property has been proved to all…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Papa
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