Erratum: R-parity violating minimal supergravity model [Phys. Rev. D69, 115002 (2004)]

Abstract

We present the minimal supersymmetric standard model with general broken R-parity, focusing on minimal supergravity (mSUGRA). We discuss the origins of lepton number violation in supersymmetry. We have computed the full set of coupled one-loop renormalization group equations for the gauge couplings, the superpotential parameters and for all the soft supersymmetry breaking parameters. We provide analytic formulae for the scalar potential minimization conditions which may be iterated to arbitrary precision. We compute the low-energy spectrum of the superparticles and the neutrinos as a function of the small set of parameters at the unification scale in the general basis. Specializing to mSUGRA, we use the neutrino masses to set new bounds on the R-parity violating couplings. These bounds are up-to five orders of magnitude stricter than the previously existing ones. In addition, new bounds on the R-parity violating couplings are also derived demanding a non-tachyonic sneutrino spectrum. We investigate the nature of the lightest supersymmetric particle and find extensive regions in parameter space, where it is not the neutralino. This leads to a novel set of supersymmetric signatures, which we classify.

Mass spectrum in R-parity violating minimal supergravity and benchmark points

“…On the other hand, in the P 6 -SSM the LSP need not be neutral and regions of no-scale mSUGRA parameter space are allowed [35].…”

“…However, we include the possible dynamical generation of the other parameters through the coupled RGEs [35]. Note that at any given scale, the κ i can be rotated away through a redefinition of the fields L i , H 1 [35,44,45].…”

ProbeR-parity violating supersymmetry effects inB→K(*)ℓ+ℓ−

“…From Table IV, one can find that our bounds are more restrict than the previous ones. It's also noted that the previous bounds of |λ i11 λ ′ * i32 | and |λ * i11 λ ′ i23 | are obtained at the M GU T scale in the RPV mSUGRA model [30].…”

“…The upper limits for the relevant RPV coupling products by B → K ( * ) ℓ + ℓ − and B s → ℓ + ℓ − decays are summarized in Table IV. For comparison, the existing bounds on these quadric coupling products [22,30] are also listed. From Table IV, one can find that our bounds are more restrict than the previous ones.…”

CPViolation in Unpolarizede+e−→Charginos at One-Loop Level

“…1 6 Recently the R-parity non-conserving extensions of the MSSM started to attract attention (see e.g. [32]), however here we do not consider these cases. 7 Diagrams are drawn by JaxoDraw tools [34].…”