Cosmological Constraints on B and L Violation

Mathematics – Logic

Scientific paper

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B Violation, Baryon, Lepton

Scientific paper

The existence of the baryon asymmetry of the Universe puts strong constraints on extensions of the Standard Model which violate baryon and/or lepton number. Interactions violating baryon number (B) but conserving lepton number (L) in the early Universe could wash away any previously established baryon asymmetry. Interactions which violate lepton number separately, with or without associated violation of baryon number, could combine with non-perturbative electroweak effects to eradicate the cosmological baryon asymmetry. We derive constraints on such interactions arising from the persistence of the cosmological baryon asymmetry. After implementing astrophysical constraints, we discuss the prospects for observing B and/or L violation in laboratory experiments. Modulo loopholes that we mention, we find that even if R-parity is violated, the lifetime of the lightest supersymmetric particle must be so long that its decays could not be observed in accelerator experiments, and that L-violating Z decays would have unobservably small branching ratios. The only novel signature for accelerator experiments that survives our analysis is a small window for the lightest supersymmetric particle to be strongly -interacting or charged, with a lifetime that is short on a cosmological time-scale but long enough to appear stable in accelerator experiments. We also find that if Delta{B} = 2 interactions exist, the rates they yield for n - |{n} oscillations and N - N annihilations in nuclei are probably below the present observational threshold.

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