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We present the general expressions for the resummation, up to next-to-leading logarithmic accuracy, of Sudakov-type logarithms in processes with an arbirtrary number of hard-scattering partons. These results document the formulae used by…

High Energy Physics - Phenomenology · Physics 2010-04-05 R. Bonciani , S. Catani , M. L. Mangano , P. Nason

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

A new picture is given of generalized parton distributions probed in experiments in which the probe scale $Q^{2}$ and the momentum transfer $\DD^{2}$ are well separated. Application of this picture to the $Q^{2}$ dependence of the form…

High Energy Physics - Phenomenology · Physics 2015-06-25 John P. Ralston , Roman V. Buniy , Pankaj Jain

We discuss the recent interpretation of quark distribution functions in the plane transverse to the light-cone direction. Such a mapping is model independent and allows one to build multidimensional pictures of the hadron and to develop a…

High Energy Physics - Phenomenology · Physics 2017-08-23 C. Lorcé , B. Pasquini , M. Vanderhaeghen

We recall the physical features of the parton distributions in the quantum statistical approach of the nucleon. Some predictions from a next-to-leading order QCD analysis are compared to recent experimental results. We also consider their…

High Energy Physics - Phenomenology · Physics 2011-07-26 Jacques Soffer

The Stark effect in hydrogen and the cubic anharmonic oscillator furnish examples of quantum systems where the perturbation results in a certain ionization probability by tunneling processes. Accordingly, the perturbed ground-state energy…

Statistical Mechanics · Physics 2015-10-05 Hector Mera , T. G. Pedersen , Branislav K. Nikolic

In the latest years the theoretical and phenomenological advances in the factorization of several collider processes using the transverse momentum dependent distributions (TMD)has greatly increased. I attempt here a short resume of the…

High Energy Physics - Phenomenology · Physics 2019-01-25 Ignazio Scimemi

It is shown that analytic properties of standard QCD perturbation theory contradict known spectral properties,and contain in particular IR generated ghost poles and cuts. As an outcome the rigorous background perturbation theory is…

High Energy Physics - Phenomenology · Physics 2011-07-19 Yu. A. Simonov

We derive a compact expression for the Borel sum of a QCD amplitude in terms of the inverse Mellin transform of the corresponding Borel function. The result allows us to investigate the momentum-plane analyticity properties of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Irinel Caprini , Matthias Neubert

Experimental results on hadronic soft and hard diffractive processes are reviewed with emphasis on aspects of the data that point to the underlying QCD mechanism for diffraction. Diffractive differential cross sections are shown to be…

High Energy Physics - Phenomenology · Physics 2009-09-29 Konstantin Goulianos

We consider the resummation of the logarithmic contributions to the region of small transverse momenta in the distributions of high-mass systems (lepton pairs, vector bosons, Higgs particles, ....) produced in hadron collisions. We point…

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

Recent analyses of backward meson electroproduction support the validity of a collinear QCD factorization framework for these hard exclusive reactions. This opens a way to the extraction of nucleon-to-meson transition distribution…

High Energy Physics - Phenomenology · Physics 2019-12-13 Bernard Pire , Kirill Semenov-Tian-Shansky , Lech Szymanowski

We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization…

High Energy Physics - Phenomenology · Physics 2015-06-19 Thomas Becher , Xavier Garcia i Tormo

We investigate a new ``renormalization invariant analytic formulation'' of calculations in quantum chromodynamics, where the renormalization group summation is correlated with the analyticity with respect to the square of the transferred…

High Energy Physics - Phenomenology · Physics 2009-10-31 I. L. Solovtsov , D. V. Shirkov

The existing theory of hard exclusive QCD processes is based on two assumptions: (i) $factorization$ into a $hard\,block$ times light front distribution amplitudes (DA's); (ii) use of perturbative gluon exchanges within the hard block.…

High Energy Physics - Phenomenology · Physics 2021-03-31 Edward Shuryak , Ismail Zahed

This work is dedicated to the study of power expansion in the transverse momentum dependent (TMD) factorization theorem. Each genuine term in this expansion gives rise to a series of kinematic power corrections (KPCs). All terms of this…

High Energy Physics - Phenomenology · Physics 2023-11-08 Alexey Vladimirov

The form factors of the light pseudoscalar mesons are investigated in a dispersive formalism based on hadronic unitarity, analyticity and the OPE expansion of the QCD Green functions. We propose generalizations of the original mathematical…

High Energy Physics - Phenomenology · Physics 2011-09-13 Irinel Caprini

Power corrections in QCD (both conventional and unconventional ones arising from the ultraviolet region) are discussed within the infrared finite coupling-dispersive approach. It is shown how power corrections in Minkowskian quantities can…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Grunberg

Fractional analytic QCD is constructed beyond leading order using the standard inverse logarithmic expansion. It is shown that, contrary to the usual QCD coupling constant, for which this expansion can be used only for large values of its…

High Energy Physics - Phenomenology · Physics 2023-05-30 A. V. Kotikov , I. A. Zemlyakov

The introduction of partially twisted boundary conditions allows weak and electromagnetic form factors to be evaluated at specified values of the hadronic momenta (and hence momentum transfers) in lattice simulations. We present and…

High Energy Physics - Lattice · Physics 2009-11-13 P. A. Boyle , J. M. Flynn , A. Juttner , C. T. Sachrajda , J. M. Zanotti