Original scientific paper
SO(10) model of GUT, pseudo-dimension rule and the decay KL0 → μe-
Arthasarathi Mukhopadhyay
; Department of Physics, Jadavpur University, Calcutta 700 032, India
Abstract
The flavour non-diagonal decay KL0 → μe-, predicted by the SO(10) GUT model to occur at the MC scale, has not been seen in experiments. The limit on the branching ratio is B(KL0 → μe-) < 3.3 ×10-11. In the model, MC turns out to be undetectably large. Its version based on D parity, however, admits a much smaller value for MC which is detectable. For this reason, as argued in the literature, B(KL0 → μe-) can be pushed to the level ≈ 10-12 in the context of this version. This argument, as pointed out in this paper, ignores the bearing of the pseudo-dimension rule on the decay concerned which is forbidden and as such suppresssed by this rule. As a necessary outcome of this suppression, B (KL0 → μe-) is destined to lie far below the level of 10 -12 and, accordingly, the prospect of experimental detection of this decay turns out to be much less than what is conventionally expected. This paper, therefore, concludes that the non-observation of this decay does not disrepute the SO(10) GUT model with D parity.
Keywords
SO(10) model; grand unified theory (GUT); flavour non-diagonal decay; pseudo-dimension rule
Hrčak ID:
303820
URI
Publication date:
2.8.1998.
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