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$N=1$ supersymmetry and the three loop gauge beta function

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arxiv hep-ph/9606323 v2 pith:WB77UO3S submitted 1996-06-13 hep-ph

classification hep-ph
keywords betafunctiongaugeloopthreecasedrednon-abelian
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We calculate the three loop gauge $\beta$-function for an abelian $N=1$ supersymmetric gauge theory, using DRED. We construct a coupling constant redefinition that relates the result to the corresponding term in the NSVZ $\beta$-function, and by generalising this redefinition to the non-abelian case we derive the DRED three loop gauge $\beta$-function for the non-abelian case.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Novel Phases of a Baryon-Dense QCD-like Theory

    hep-ph 2025-06 conditional novelty 7.0 of 10

    Adding a baryon chemical potential to AMSB-deformed s-confining SQCD produces novel finite-density vacua with baryon-number and parity breaking, with both first- and second-order transitions.

  2. Three-Loop Gauge Beta Functions in Supersymmetric Theories with Exponential Higher Covariant Derivative Regularization

    hep-th 2025-09 unverdicted novelty 6.0 of 10

    Explicit closed-form evaluation of A(n) and B(m) for exponential regulators R(x)=e^{x^n} and F(x)=e^{x^m} yields fully parameterized three-loop beta functions in general N=1 SUSY gauge theories and demonstrates finite...

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