The $R$-parity Violating Decays of Charginos and Neutralinos in the B-L MSSM

Abstract

The $B-L$ MSSM is the MSSM with three right-handed neutrino chiral multiplets and gauged $B-L$ symmetry. The $B-L$ symmetry is broken by the third family right-handed sneutrino acquiring a VEV, thus spontaneously breaking $R$-parity. Within a natural range of soft supersymmetry breaking parameters, it is shown that a large and uncorrelated number of initial values satisfy all present phenomenological constraints; including the correct masses for the $W^{\pm }$, $Z^0$ bosons, having all sparticles exceeding their present lower bounds and giving the experimentally measured value for the Higgs boson. For this "valid" set of initial values, there are a number of different LSPs, each occurring a calculable number of times. We plot this statistically and determine that among the most prevalent LSPs are chargino and neutralino mass eigenstates. In this paper, the $R$-parity violating decay channels of charginos and neutralinos to standard model particles are determined, and the interaction vertices and decay rates computed analytically. These results are valid for any chargino and neutralino, regardless of whether or not they are the LSP. For chargino and neutralino LSPs, we will-- in a subsequent series of papers --present a numerical study of their RPV decays evaluated statistically over the range of associated valid initial points.

62 pages, 12 figures, added references in section 1, corrected some calculation errors

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Cited by in corpus (10)

• When FIMPs Decay into Neutrinos: The $N_{\mathrm{eff}}$ Story
• Search for trilepton resonances from chargino and neutralino pair production in $\sqrt{s}$ = 13 TeV $pp$ collisions with the ATLAS detector
• Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
• $R$-parity Violating Decays of Bino Neutralino LSPs at the LHC
• Eigenvalues and eigenforms on Calabi-Yau threefolds
• Line Bundle Hidden Sectors for Strongly Coupled Heterotic Standard Models
• R-Parity Violating Supersymmetry and the 125 GeV Higgs signals
• Explicit Soft Supersymmetry Breaking in the Heterotic M-Theory $B-L$ MSSM
• Hidden Sectors from Multiple Line Bundles for the $B-L$ MSSM
• Vacuum Constraints for Realistic Strongly Coupled Heterotic M-Theories