A. L. Kataev, K. V. Stepanyantz, “Exact relations between running of $\alpha_s$ and $\alpha$ in ${\mathcal N}=1$ SQCD + SQED”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2025, Volume 121, Issue 5,Pages 337

This article is cited in 3 papers

FIELDS, PARTICLES, AND NUCLEI

Exact relations between running of $\alpha_s$ and $\alpha$ in ${\mathcal N}=1$ SQCD + SQED

A. L. Kataev^ab, K. V. Stepanyantz^c

^a Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
^b Institute for Nuclear Research of the Russian Academy of Sciences, 117312 Moscow, Russia
^c Moscow State University, Physical Faculty, Department of Theoretical Physics, 119991 Moscow, Russia

Abstract: In ${\mathcal N}=1$ supersymmetric QCD and QED theory we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings and prove that they are valid in the combined higher covariant derivative regularized and minimal subtraction of logarithms renormalized prescription. In particular, the $\beta$-function of ${\mathcal N}=1$ supersymmetric QCD can be expressed in terms of the Adler $D$-function. If all flavors have the same absolute value of the electromagnetic charges, it is also possible to write a simple relation between the $\beta$-functions for the strong and electromagnetic coupling constants. In this particular case there is a special renormalization group invariant relation.

Received: 31.12.2024
Revised: 31.12.2024
Accepted: 16.01.2025

Language: English

DOI: 10.31857/S0370274X25030019