Affleck-Dine baryogenesis with R-parity violation

Abstract

We investigate whether the baryon asymmetry of the universe is explained in the framework of the supersymmetric extension of the Standard Model with R-parity violating interactions. It is shown that the Affleck-Dine mechanism naturally works via a trilinear interaction $LL{E}^c$, $LQ{D}^c$, or $U^c{D}^c{D}^c$, if the magnitude of the coupling corresponding to the operator $\lambda$, ${\lambda }^{\prime }$, or ${\lambda }^{\prime \prime }$ is sufficiently small. The formation of Q-balls and their subsequent evolution are also discussed. The present baryon asymmetry can be explained in the parameter region where R-parity is mildly violated $10^{-9}\lesssim \lambda ,{\lambda }^{\prime },{\lambda }^{\prime \prime }\lesssim 10^{-6}$ and the mass of the gravitino is relatively heavy $m_{3/2}\gtrsim 10^4\mathrm{GeV}$. On the other hand, it is difficult to explain the present baryon asymmetry for larger values of R-parity violating couplings $\lambda ,{\lambda }^{\prime },{\lambda }^{\prime \prime }\gtrsim 10^{-5}$, since Q-balls are likely to be destructed in the thermal environment and the primordial baryon number is washed away.

arXiv comment25 pages, 5 figures; revised version of the manuscript, accepted for publication in PRD

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• Exploring the Hadronic Axion Window via Delayed Neutralino Decay to Axinos at the LHC
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