Abstract
We study a scenario in which light bottom squarks and light gluinos with masses in the range 2–5.5 GeV and 12–16 GeV, respectively, can coexist in the MSSM, without being in conflict with flavor-conserving low-energy observables. We find that in such a scenario, the anomalous magnetic moment of a muon could be as large as 10−9, if the theory conserves CP. However, if the theory violates CP, we conclude that not both, the gluino and bottom squark, can be light at the same time, after the neutron electric dipole moment constraint on Weinberg's 3-gluon operator has been taken into account.
Highlights
Inspired by the unforeseen excess of the bottom-quark production observed at the hadronic collider of Fermilab [1], Berger et al [2] proposed a solution with light sbottomb1 and light gluino g
One of the mysteries in the standard model (SM) is whether the Higgs mechanism plays an essential role for the symmetry breaking and the resultant of Higgs particle can be captured in future colliders
With the requirements satisfied with electroweak baryogenesis, a novel prediction on the muon electric dipole moment (EDM) of 10−24 e cm can be reached by the proposed experiment [16]
Summary
Inspired by the unforeseen excess of the bottom-quark production observed at the hadronic collider of Fermilab [1], Berger et al [2] proposed a solution with light sbottomb1 (mb1 ≃ 2.0 − 5.5 GeV) and light gluino g (mg ≃ 12 − 16 GeV). It will be more exciting that if the light sbottom and gluino can be compatible with the Higgs physics with or without CP violation (CPV). In order to further pursue the implications of the light sbottom and gluino, in this paper, we concentrate on two flavor-conserving processes: one is anomalous magnetic moment of muon, ∆aμ, and the other is EDMs of muon and neutron.
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