Dynamical Up-quark Mass Generation in QCD-like theories

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Hauptverfasser: Csáki, Csaba, Roy, Tuhin S., Ruhdorfer, Maximilian, Youn, Taewook
Format: Preprint
Veröffentlicht: 2025
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author Csáki, Csaba
Roy, Tuhin S.
Ruhdorfer, Maximilian
Youn, Taewook
author_facet Csáki, Csaba
Roy, Tuhin S.
Ruhdorfer, Maximilian
Youn, Taewook
contents 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 sizeable $O(1)$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_07953
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Dynamical Up-quark Mass Generation in QCD-like theories
Csáki, Csaba
Roy, Tuhin S.
Ruhdorfer, Maximilian
Youn, Taewook
High Energy Physics - Phenomenology
Nuclear Theory
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 sizeable $O(1)$ 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.
title Dynamical Up-quark Mass Generation in QCD-like theories
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2505.07953