Abstract
The decays of top quark trightarrow cgamma ,;trightarrow cg,;trightarrow cZ,;trightarrow ch are extremely rare processes in the standard model (SM). The predictions on the corresponding branching ratios in the SM are too small to be detected in the future, hence any measurable signal for the processes at the LHC is a smoking gun for new physics. In the extension of minimal supersymmetric standard model with an additional local U(1)_Btext {--}L gauge symmetry (B-LSSM), new gauge interaction and new flavor changing interaction affect the theoretical evaluations on corresponding branching ratios of those processes. In this work, we analyze those processes in the B-LSSM, under a minimal flavor violating assumption for the soft breaking terms. Considering the constraints from updated experimental data, the numerical results imply Br(trightarrow cgamma )sim 5times 10^{-7}, Br(trightarrow cg)sim 2times 10^{-6}, Br(trightarrow cZ)sim 4times 10^{-7} and Br(trightarrow ch)sim 3times 10^{-9} in our chosen parameter space. Simultaneously, new gauge coupling constants g_{_B},;g_{_{YB}} in the B-LSSM can also affect the numerical results of Br(trightarrow cgamma ,;cg,;cZ,;ch).
Highlights
Since the running LHC provides an opportunity to seek out top quark rare decays, top quark shows great promise in revealing the secret of new physics beyond the standard model (SM)
It results from the invariance principle allows the Lagrangian to include a mixing term between the strength tensors of gauge fields associated with the U (1) gauge groups, −κY,BL AμY A μ,B L, where AμY, A μ,B L denote the gauge fields associated with the two U (1) gauge groups, Y, B–L corresponding to the hypercharge and B-L charge respectively, κY,BL is an antisymmetric tensor which includes the mixing of U (1)Y and U (1)B–L gauge fields
In the U (1)B–L extension of minimal supersymmetric extension of the SM (MSSM), under a minimal flavor violating assumption for the soft breaking terms, we focused on the top quark rare decay processes t → cγ, cg, cZ, ch
Summary
Since the running LHC provides an opportunity to seek out top quark rare decays, top quark shows great promise in revealing the secret of new physics beyond the standard model (SM). Besides accounting elegantly for the existence and smallness of the left-handed neutrino masses, the B-LSSM alleviates the aforementioned little hierarchy problem of the MSSM [30], because the exotic singlet Higgs and right-handed (s)neutrinos [31,32,33,34,35,36,37] release additional parameter space from the LEP, Tevatron and LHC constraints In this model, the invariance under U (1)B–L gauge group imposes the the R-parity conservation which is assumed in the MSSM to avoid proton decay.
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