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Little hierarchies solve the little fine-tuning problem: a case study in supersymmetry with heavy guinos

2019/08/03 by Thomas Deppisch, Deppisch, Thomas, Ulrich Nierste +1
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1908.01222

openalex publication_date 2019/08/03 · openalex created_date 2019/08/13 · openalex updated_date 2026/07/28

Abstract

Radiative corrections with new heavy particles coupling to Higgs doublets destabilize the electroweak scale and require an ad-hoc counterterm cancelling the large loop contribution. If the mass scale m1 of these new particles in in the TeV range, this feature constitutes the "little fine-tuning problem". We consider the case that the new-physics spectrum has a little hierarchy with two particle mass scales m1, m2 and m2 = O(10 m1) and no tree-level couplings of the heavier particles to Higgs doublets. As a concrete example we study the (next-to-)minimal supersymmetric standard model ((N)MSSM) for the case that the gluino mass M3 is significantly larger than the stop mass parameters mL,R and show that the usual one-loop fine-tuning analysis breaks down. If mL,R is defined in the dimensional-reduction (DR-bar) or any other fundamental scheme, corrections enhanced by powers of M32/mL,R2 occur in all higher loop orders. After resumming these terms we find the fine-tuning measure substantially improved compared to the usual analyses with M3

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