Abstract
A simple model for the explanation of the muon anomalous magnetic moment was proposed by the present authors within the context of the minimal supersymmetric standard model [1, 2]: Higgs-anomaly mediation. In the setup, squarks, sleptons, and gauginos are massless at tree-level, but the Higgs doublets get large negative soft supersymmetry (SUSY) breaking masses squared {m}_{H_u}^2simeq {m}_{H_d}^2<0 at a certain energy scale, Minp. The sfermion masses are radiatively generated by anomaly mediation and Higgs-loop effects, and gaugino masses are solely determined by anomaly mediation. Consequently, the smuons and bino are light enough to explain the muon g − 2 anomaly while the third generation sfermions are heavy enough to explain the observed Higgs boson mass. The scenario avoids the SUSY flavor problem as well as various cosmological problems, and is consistent with the radiative electroweak symmetry breaking. In this paper, we show that, although the muon g − 2 explanation in originally proposed Higgs-anomaly mediation with Minp∼ 1016 GeV is slightly disfavored by the latest LHC data, the muon g − 2 can still be explained at 1σ level when Higgs mediation becomes important at the intermediate scale, Minp∼ 1012 GeV. The scenario predicts light SUSY particles that can be fully covered by the LHC and future collider experiments. We also provide a simple realization of {m}_{H_u}^2simeq {m}_{H_d}^2<0 at the intermediate scale.
Highlights
JHEP06(2020)154 with a suppressed vacuum expectation value (VEV).2 the gaugino masses can be only generated by anomaly mediation [9, 24] or gauge mediation
The sfermion masses are radiatively generated by anomaly mediation and Higgs-loop effects, and gaugino masses are solely determined by anomaly mediation
In Higgs-anomaly mediation, squarks and sleptons are massless at the tree level at a high energy scale such as the grand unified theory (GUT) scale while the Higgs doublets get large and negative SUSY breaking masses squared at a certain energy scale, Minp
Summary
Let us review the setup of Higgs-anomaly mediation in more detail. One of the realizations of Higgs-anomaly mediation is a brane-world scenario, where quarks and leptons live in one brane (matter brane). There is a possibility with small Minp but large compactification scale, 1/L ∼ 1016 GeV Minp: the SUSY breaking masses for the Higgs doublets are dynamically generated at around Minp. In figure 2, we show the numerical results of the 1σ (red band) and 2σ (blue band) regions of the muon g − 2, the contours of Higgs boson mass (left-panel) and the averaged left-handed squark mass (right-panel) in first two generations for Minp = 3 × 1012 GeV and. In the former case, Sis expected to have a soft SUSY breaking mass, which does not affect the generation of mHu,d .
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