arXiv subjects

A. V. Kotikov

Publications and source records attributed to A. V. Kotikov.

171 records · Page 10Linked to original sources

arXiv1996

The Longitudinal Structure Function F$_L$ as a Function of F$_2$ and dF$_2$/dlnQ$^2$ at small x. The Next-to-Leading Analysis

We present a set of formulae to extract the longitudinal deep inelastic structure function $F_L$ from the transverse structure function $F_2$ and its derivative $dF_2/dlnQ^2$ at small $x$. Our expressions are valid for any value of $δ$, being $x^{-δ}$ the behavior of the parton densities at low $x$. Using $F_2$ HERA data we obtain $F_L$ in the range $10^{-4} \leq x \leq 10^{-2}$ at $Q^2=20$ GeV$^2$. Some other applications of the formulae are pointed out.

hep-ph↗

arXiv1996

About the $Q^2$ dependence of asymmetry $A_1$

We analyse the proton and deutron data on spin dependent asymmetry $A_1(x,Q^2)$ supposing the DIS structure functions $g_1(x,Q^2)$ and $F_3(x,Q^2)$ have the similar $Q^2$-dependence. As a result, we have obtained $Γ_1^p - Γ_1^n = 0.192$ at $Q^2= 10~{\rm GeV}^2$ and $Γ_1^p - Γ_1^n = 0.165$ at $Q^2= 3~{\rm GeV}^2$, in the best agreement with the Bjorken sum rule predictions.

hep-ph↗

arXiv1996

Comment on the ``$θ$-term renormalization in the (2+1)-dimensional $CP^{N-1}$ model with $θ$ term''

It is found that the recently published first coefficient of nonzero $β$-function for the Chern-Simons term in the $1/N$ expansion of the $CP^{N-1}$ model is untrue numerically. The correct result is given. The main conclusions of Park's paper are not changed.

hep-th↗

arXiv1995

The Gluon Distribution as a Function of F$_2$ and dF$_2$/dlnQ$^2$ at small x. The Next-to-Leading Analysis

We present a set of formulae to extract the gluon distribution function from the deep inelastic structure function F$_2$ and its derivative dF$_2$/dlnQ$^2$ at small x in the leading and next-to-leading order of perturbation theory. The detailed analysis is given for new HERA data. The values of the gluon distribution are found in the range $10^{-4} \leq x \leq 10^{-2}$ at $Q^2=20$ GeV$^2$.

hep-ph↗

arXiv1995

The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams

We extend Gegenbauer Polynomials technique to evaluate a class of complicated Feynman diagrams. New results in the form of $_3F_2$-hypergeometrical series of unit argument, are presented. As a by-product, we present a new transformation rule for $_3F_2$-hypergeometric series with argument $-1$.

hep-ph↗

arXiv1995

About the behaviour of QCD Pomeron in deep inelastic scattering

The paper presents the QCD description of the small $x$ behaviour of parton distribution functions in the leading twist of Wilson operator product expansion. The smooth transition between the cases of the soft and hard Pomerons is obtained. The results are in qualitative agreement with deep inelastic experimental data.

hep-ph↗

arXiv1995

Small $x$ Behaviour of Parton Distributions in Proton

The paper presents the $QCD$ description of the hard and semihard processes in the framework of the Wilson operator product expansion. The smooth transition between the cases of the soft and hard Pomerons is obtained.

hep-ph↗

arXiv1994

Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions

It is performed for the first time a next-to-next-to-leading order analysis of deep inelastic structure functions $F_2$ and $F_L$ using the recently determined first moments of the non-singlet anomalous dimensions and the corresponding Wilson coefficients. {}From a comparison to BCDMS data we found a slight decrease in the energy scale of perturbative QCD with respect to the next-to-leading order analysis, which brings the scale closer to the value predicted from a scheme invariant approach.

hep-ph↗

arXiv1994

Light Gluinos and the Longitudinal Structure Function

The leading effect of light gluinos on the deep inelastic longitudinal structure function is calculated. We present the explicit analitic expression for the Wilson coefficient. After convolution with quark, gluon and gluino distributions we found that the size of the contribution is of order a few percent of the total $F_L$. Some phenomenological implications for HERA and LEP/LHC are given.

hep-ph↗