Effective Kähler and auxiliary field potentials for chiral superfield models at three loops

2024/08/08 by Stephen P. Martin, Martin, Stephen P. · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2408.04589

openalex publication_date 2024/08/08 · openalex created_date 2024/10/29 · openalex updated_date 2026/07/28

Abstract

I obtain the effective Kähler potential at three-loop order for a general renormalizable supersymmetric theory containing only chiral supermultiplets. The three-loop contribution is remarkably simple, consisting of only four terms involving three distinct renormalized master integrals. In the case of the Wess-Zumino model with a single chiral superfield, I also obtain the effective auxiliary field potential at three-loop order, extending previous results at one-loop order. The method used is inferential, relying on existing knowledge of the ordinary scalar effective potential.

Cited by

• Chiral effective potential in 4D, N=1 supersymmetric gauge theories
• Novel Phases of a Baryon-Dense QCD-like Theory

Related

• Superfield effective potential
• Three-loop chiral effective potential in the Wess-Zumino model
• The One-Loop Effective Kähler Potential. I: Chiral Multiplets
• Effective action in general chiral superfield model
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