I. A. Kotikov | Search arXiv

arXiv2026

alpha_s from hadron multiplicities: an updated analysis

Exploring the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, we study the first Mellin moments D_{q,g}(μ^2) of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. By fitting the world data on D_{q,g}(μ^2) for charged hadrons measured in e^+e^- annihilation, we find a good agreement with the data and obtain the following value for the strong force coupling α_s^{(5)}(M_Z)=0.1177+0.0027-0.0025.

hep-ph↗

arXiv2024

On anomalous dimension in 3D ABJM model

Anomalous dimension of the shortest single-trace operator is calculated in a simple form for the fishnet limit of the twisted ABJM model in 3D.

hep-th↗

arXiv2023

On ultrahigh-energy neutrino-nucleon deep-inelastic scattering and the Froissart bound

A brief review of the results for the total cross section σ^{νN} of ultrahigh-energy neutrino deep inelastic scattering on isoscalar nuclear targets is presented. These results are based on simple approximations for σ^{νN} and are compared with the experimental data of the IceCube Collaboration. The total cross section σ^{νN} is proportional to the structure function F_2^{νN}(M_V^2/s,M_V^2), where M_V is the intermediate boson mass and s is square of the energy of the center of mass. The coefficient in the front of F_2^{νN}(M_V^2/s,M_V^2) depends on the asymptotic behavior of F_2^{νN} at low values of x. It contains an additional term \sim \ln{s} if F_2^{νN} is scaled by the power \ln(1/x). Therefore, the asymptotic behavior of F_2^{νN}\propto\ln^2(1/x) for small x often assumed in the literature already leads to violation of the Froissart bound for σ^{νN}.

hep-ph↗