RGE of the Higgs mass in the context of the SM

2013/03/11 by Ligong Bian, Bian, Ligong
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.1303.2402

9 pages, 4 figures, comments are welcome

openalex publication_date 2013/03/11 · arxiv created 2013/08/23 · arxiv updated 2013/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Renormalization group equation (RGE) of the Higgs mass up to one-loop order is derived in R_ξ gauge with dimensional regularization method (DREG) base on MS (or \rmMS) scheme. Scale-dependent properties of the Higgs mass up to two-loop level are investigated. The result gives the positive Higgs mass up to energy scale around the Planck scale. While following the vacuum stability argument, the Higgs mass need to be negative above the energy scale 10¹⁰ GeV for M_t=173.3 GeV. The conflict is induced by the renormalization of vacuum energy value(VEV).

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