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Two pseudo-Goldstone bosons in the Gildener-Weinberg model

High Energy Physics - Phenomenology 2024-10-29 v3 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In a dimensionless multi-scalar extension of the Standard Model, Gildener and Weinberg assumed that along a flat direction, there is only one classically massless scalar, known as the {\it scalon}, which acquires mass through radiative corrections \`a la Coleman-Weinberg, while all other scalars remain heavy. In this paper, by introducing a toy model with four scalar degrees of freedom we demonstrate the existence of {\it two} scalons along a specific flat direction that we construct. We present the effective potential for the model and provide the masses of the heavy scalars and two radiatively light pseudo-Goldstone bosons.

Keywords

Cite

@article{arxiv.2311.17155,
  title  = {Two pseudo-Goldstone bosons in the Gildener-Weinberg model},
  author = {Parsa Ghorbani},
  journal= {arXiv preprint arXiv:2311.17155},
  year   = {2024}
}

Comments

4 pages, V1: minor modifications, results unchanged V2: discrete symmetry argument in the model modified, results remain unchanged, matches the published version