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Dynamical up-quark mass generation in QCD-like theories

Csaba Csáki1,*, Tuhin S. Roy2,†, Maximilian Ruhdorfer3,‡, and Taewook Youn1,4,§

  • *Contact author: csaki@cornell.edu
  • †Contact author: tuhin@theory.tifr.res.in
  • ‡Contact author: m.ruhdorfer@stanford.edu
  • §Contact author: taewook.youn@cornell.edu
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Phys. Rev. D 114, 016007 – Published 7 July, 2026

DOI: https://doi.org/10.1103/38sb-dm8l

Abstract

We calculate the dynamically generated up-quark mass in some QCD-like theories with F=3 light flavors, obtained from supersymmetric QCD perturbed via anomaly mediated supersymmetry breaking. We match the low-energy effective theory to the traditional chiral Lagrangian of QCD and determine the coefficients to next-to-leading order in chiral perturbation theory, while also varying the number of colors N. We find that the dynamically generated up-quark mass vanishes in the large N limit and is small for F<N; however, for F=N there is a sizable O(1) contribution. While our results are reliable only for small supersymmetry breaking, we observe that extrapolating the F=N result to large supersymmetry breaking would lead to a dynamical up-quark mass that is large enough to account for its entire physical mass.

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Phys. Rev. D 114, 016007– Published 7 July, 2026
  • Received 2 August 2025
  • Accepted 1 April 2026
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