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arXiv · 2410.12070

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

A. L. Kataev·K. V. Stepanyantz
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Abstract

In ${\cal N}=1$ supersymmetric QCD-like theories 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 HD+MSL renormalization prescription. In particular, the $\beta$-function of ${\cal N}=1$ SQCD can be expressed in terms of the Adler $D$-function. If all favors 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.

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A. L. Kataev, K. V. Stepanyantz. 2024-10-15. Exact relations between running of $\alpha_s$ and $\alpha$ in ${\cal N}=1$ SQCD+SQED. https://doi.org/10.31857/s0370274x25030019

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