Abstract
We study baryon number violation in R-parity violating supersymmetry with focus on ΔB = 2 processes which allow neutron-anti-neutron (n − $$ \overline{n} $$ ) oscillations. We provide prospects for going beyond the present limits by means of a new search for n − $$ \overline{n} $$ oscillations. The motivation is the recently proposed n − $$ \overline{n} $$ oscillation experiment at the European Spallation Source in Lund, which is projected to be able to improve the current bound on the transition probability in the quasi-free regime by three orders of magnitude. We consider various processes giving rise to baryon number violation and extract the corresponding simplified models, including only the relevant superpartners and couplings. In terms of these models we determine the exclusion limits from LHC searches as well as from searches for flavor transitions, CP violation and di-nucleon decays. We find that, for certain regions of parameter space, the proposed n − $$ \overline{n} $$ experiment has a reach that goes beyond all other experiments, as it can probe gluino and squark masses in the multi-TeV range.
Highlights
Many BNV searches have targeted proton decay
We study baryon number violation in R-parity violating supersymmetry with focus on ∆B = 2 processes which allow neutron-anti-neutron (n − n) oscillations
A new experiment was recently proposed [11] to search for n − noscillations at the European Spallation Source (ESS) in Lund, Sweden, which could extend the sensitivity to the neutron-antineutron transition probability by up to three orders of magnitude compared to the Institut Laue-Langevin (ILL) bound
Summary
In this paper we will consider only RPV SUSY models where baryon number is violated (BRPV) but where lepton number is preserved. Where i, j, k and a, b, c are flavour and colour indices, respectively, and where the dimensionless coupling is antisymmetric in the last two indices, λijk = −λikj.. Where i, j, k and a, b, c are flavour and colour indices, respectively, and where the dimensionless coupling is antisymmetric in the last two indices, λijk = −λikj.1 This antisymmetry implies that there are 9 independent λijk-couplings: λuds, λudb . A vertex with a gaugino, on the other hand, has the orientation of the scalar line reversed compared to the two fermionic ones. Examples of vertices following such conventions are shown in figure 1 With these conventions, a mixing term between two squarks of the same handness, such as e.g. ̃b∗RdR will preserve the orientation of the arrow on the scalar lines while a term switching handness, such asb∗RbL will reverse it.
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