Searcharxiv⌕ Search

arXiv subjects

S. A. Larin

Publications and source records attributed to S. A. Larin.

28 records · Page 2Linked to original sources
arXiv1997

The 4-loop quark mass anomalous dimension and the invariant quark mass

We present the analytical calculation of the four-loop quark mass anomalous dimension in Quantum Chromodynamics within the minimal subtraction scheme. On the basis of this result we find that the so-called invariant quark mass is a very good reference mass for the accurate evolution of the running MS-bar quark mass in phenomenological applications. We also obtain for the first time a complete 4-th order perturbative QCD expression for a physical quantity, the total Higgs boson decay rate into hadrons, and analyze the infrared fixed point for this case.

hep-ph↗
arXiv1996

The 3-loop QCD calculation of the moments of deep inelastic structure functions

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N=2,4,6,8 of the flavour singlet deep inelastic structure functions F_2 and F_L. We calculate the three-loop anomalous dimensions of the corresponding singlet operators and the three-loop coefficient functions of the structure functions F_L and F_2. In addition, we obtained the 10th moment for the non-singlet structure functions in the same order of perturbative QCD. We perform an analysis of the obtained results.

hep-ph↗
arXiv1995

Five-loop renormalization group functions of ${O}(n)$-symmetric $ϕ^4$-theory and $\ep$-expansions of critical exponents up to $\ep^5$

Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the $β$-function and the anomalous dimensions of the ${O}(n)$-symmetric $ϕ^4$-theory in $D=4-\ep$ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and $\ep$-expansions are given for the critical exponents $η$, $ν$, and $ω$ up to order $ε^5$.

hep-th↗
arXiv1993

The three-loop QCD $β$-function and anomalous dimensions

The analytic calculation of the three-loop QCD $β$-function and anomalous dimensions within the minimal subtraction scheme in an arbitrary covariant guage is presented. The result for the $β$-function coincides with the previous calculation \cite{tvz}.

hep-ph↗