Abstract

We suggest a discriminant analysis of new physics beyond the standard model through a detection of photon polarization in a radiative B meson decay. This analysis is investigated in SUSY SU(5) GUT with right-handed neutrino and left-right symmetric models. New physics search via CP asymmetry in the same process are also evaluated in each model for comparison. We show that new physics can be found via detecting the photon polarization in a parameter space of TeV energy scale.

Highlights

  • Of Br(μ → eγ) ∼ O(10−15-10−13) for the NP scale of MNP ≃ (100-300) GeV in an SU(5) case and Br(μ → eγ) ∼ O(10−13-10−11) in an SO(10) case [1, 2]

  • We suggest a discriminant analysis of new physics beyond the standard model through a detection of photon polarization in a radiative B meson decay

  • This situation is adopted to the b → sγ process, i.e. one would be able to discriminate among the SM and NP such as SUSY GUT models, the left-right symmetric standard model (LRSM), and the Pati-Salam models and so on, if one could precisely determine the chirality of the final s quark

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Summary

Photon polarization

We investigate the photon polarization in the radiative rare decay, b → sγ, process in a SUSY SU(5) GUT with NR and the LRSM for the search of NP. When one considers physics beyond the SM, there might be additional contributions to C7 and C7′ from NP In these cases, we can generically describe C7 and C7′ as C7 = C7SM + C7NP and C7′ = C7′ SM + C7′ NP, respectively. C7N,8P = C7H,8± + C7χ,±8 + C7g,8 and C7′N,8P = C7′H,8± + C7′χ,8± + C7′g,8 in the SUSY SU(5) model with NR where C7H,8± (C7′H,8± ), C7χ,±8 (C7′χ,8± ), and C7g,8 (C7′g,8) are the contributions to C7,8 (C7′ ,8) from the charged Higgses, charginos, and gluinos, respectively. In order to see the magnitude of contributions from NP, we estimate the ratio |C7′ /C7| at the b quark mass scale, which determines the size of polarization of photon as seen. We show λγ in figure 2 and the SM and SUSY SU(5) GUT with NR cases are depicted by the black and red curves, respectively. The future experiment will be able to check the NP scale up to about 1700 GeV (which corresponds to M2 ≃ 1400 GeV and Mg ≃ 4900 GeV) in this model of SUSY SU(5) with NR

Case of Left-right symmetric standard model
CP asymmetry
Direct CP asymmetry
LRSM case
Time-dependent CP asymmetry
Comparison between Photon polarization and Measurements of CP asymmetry
Summary
Findings
Mass insertion parameters
Full Text
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