132 citations · 336 across the 53 of their papers we have counts for
54 papers · 1 filter
70 years of Double-Logarithmic Approximation
B. I. Ermolaev
Existence of Double-Logarithmic (DL) contributions to scattering amplitudes in QED was discovered by V.V. Sudakov in 1956 and total summation of DL contributions to electron-photon…
Comment on applying dispersion relations to amplitudes with infrared singularities
B. I. Ermolaev, S. I. Troyan
Dispersion Relations (DR) are known to be a powerful instrument for studying scattering amplitudes. In particular, they often apply to calculations in Perturbative QCD and Standard…
Unpolarized DIS structure functions in Double-Logarithmic Approximation
B. I. Ermolaev, S. I. Troyan
We present description of the DIS structure functions F_1 and F_2 at small obtained in double-logarithmic approximation (DLA). First we clarify our previous results on F_1 and…
Rise of the DIS structure function F_L at small x caused by double-logarithmic contributions
B. I. Ermolaev, S. I. Troyan
We present calculation of F_L in the double-logarithmic approximation and demonstrate that the synergic effect of the factor 1/x from the α_s^2-order and the steep x-dependence of…
Unpolarized and spin-dependent DIS structure functions in Double-Logarithmic Approximation
B. I. Ermolaev, S. I. Troyan
We demonstrate how to calculate perturbative components of the structure functions F_1 (for unpolarized DIS) and g_1 (spin-dependent DIS) in Double-Logarithmic Approximation, study…
Combining the small-x evolution and DGLAP for description of inclusive photon induced processes
B. I. Ermolaev, S. I. Troyan
Interest in studying the inclusive photon induced processes of Deep-Inelastic Scattering (DIS) and Diffractive DIS (DDIS) at high energies includes their experimental investigation…
Light-by-light scattering in Double-Logarithmic Approximation
B. I. Ermolaev, S. I. Troyan
In the present paper we consider the elastic 2 -> 2 -scattering of virtual photons at high energies in the forward kinematics at zero and non-zero values of t. Accounting for both…
Elastic scattering of virtual photons via quark loop in Double-Logarithmic Approximation
B. I. Ermolaev, D. Yu. Ivanov, S. I. Troyan
We calculate the amplitude of elastic photon-photon scattering via a single quark loop in the Double-Logarithmic Approximation, presuming all external photons to be off-shell and u…
Structure Function F_1 singlet in Double-Logarithmic Approximation
B. I. Ermolaev, S. I. Troyan
We calculate the perturbative component of the DIS structure function F_1 singlet in the Double-Logarithmic Approximation (DLA) and account at the same time for the running QCD cou…
Intrinsic mass scale in QCD factorization
B. I. Ermolaev, S. I. Troyan
In this paper we argue for existence of an intrinsic mass scale in QCD factorization and present a possible origin of it. Values of this scale are within the Non-Perturbative QCD m…
Non-perturbative gluon-hadron inputs for all available forms of QCD factorization
B. I. Ermolaev, S. I. Troyan
Description of hadronic reactions at high energies is conventionally done on basis of QCD factoriza- tion so that factorization convolutions involve non-perturbative inputs mimicki…
Resonance model for non-perturbative inputs to gluon distributions in the hadrons
B. I. Ermolaev, F. Olness, S. I. Troyan
We construct non-perturbative inputs for the elastic gluon-hadron scattering amplitudes in the forward kinematic region for both polarized and non-polarized hadrons. We use the opt…
Origin of the Q^2-dependence of the DIS structure functions
B. I. Ermolaev, M. Greco, S. I. Troyan
We consider in detail the Q^2 -dependence of the DIS structure functions, with Q being the virtual photon momentum. Quite often this dependence is claimed to be originated by the Q…
Comment on the frozen QCD coupling
B. I. Ermolaev, M. Greco, S. I. Troyan
The frozen QCD coupling is a parameter often used as an effective fixed coupling. It is supposed to mimic both the running coupling effects and the lack of knowledge of alpha_s in…
New look at the QCD factorization
B. I. Ermolaev, M. Greco, S. I. Troyan
We show that both the k_T- and collinear factorization for the DIS structure functions can be obtained by consecutive reductions of the Compton scattering amplitude. Each of these…
Comment on double-logarithmic corrections to decays of electroweak bosons
B. I. Ermolaev
We present a short comment on resummation of double-logarithmic (DL) contributions to decays of W and Z -bosons into charged fermion pairs. We show that resummation of DL correctio…
Overview of the spin structure function g_1 at arbitrary x and Q^2
B. I. Ermolaev, M. Greco, S. I. Troyan
In the present paper we summarize our results on the structure function g_1 and present explicit expressions for the non-singlet and singlet components of g_1 which can be used at…
Parametrization of the QCD coupling in Hard and Regge processes
B. I. Ermolaev, S. I. Troyan
We examine the parametrization of the QCD coupling in the Bethe-Salpeter equations for the hard and Regge processes and determine the argument of alpha_s of the factorized gluon. O…
Parametrization of the QCD coupling in the Evolution Equations
B. I. Ermolaev, S. I. Troyan
We examine the parametrization of the QCD coupling in the Evolution Equations, including DGLAP. Our conclusion is that the well-known parametrization, where the argument of the cou…
Impact of double-logarithmic electroweak radiative corrections on the non-singlet structure functions at small x
B. I. Ermolaev, S. I. Troyan
In the QCD context, the non-singlet structure functions of u and d -quarks are identical, save the initial quark densities. Electroweak radiative corrections, being flavor-dependen…
Description of the spin structure function g_1 at arbitrary and arbitrary Q^2
B. I. Ermolaev, M. Greco, S. I. Troyan
The explicit expressions describing the structure function g_1 at arbitrary x and Q^2 are obtained. In the first place, they combine the well-known DGLAP expressions for g_1 with t…
Spin structure function g_1 at small x and arbitrary $Q^2: Total resummaion of leading logarithms vs Standard Approach
B. I. Ermolaev, M. Greco, S. I. Troyan
The Standard Approach (SA) for description of the structure function g_1 combines the DGLAP evolution equations and Standard Fits for the initial parton densities. The DGLAP equati…
Infrared Evolution Equations: Method and Applications
B. I. Ermolaev, M. Greco, S. I. Troyan
It is a brief review on composing and solving Infrared Evolution Equations. They can be used in order to calculate amplitudes of high-energy reactions in different kinematic region…
Total resummation of leading logarithms vs standard description of the Polarized DIS
B. I. Ermolaev, M. Greco, S. I. Troyan
Total resummation of leading logarithms of x contributing to the spin-dependent structure function g_1 ensures its steep rise at small x. DGLAP lacks such a resummation. Instead, t…