FIZIKA B 7 (1998) 3, 139-153

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SO(10) MODEL OF GUT, PSEUDO - DIMENSION RULE AND THE DECAY KL0 m`

PARTHASARATHI MUKHOPADHYAY

Department of Physics, Jadavpur University, Calcutta 700 032, India

Received 25 June 1998; Accepted 19 October 1998

The flavour non-diagonal decay KL0 m`e, 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 m`e) < 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 m`e) 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 m`e) 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.

PACS numbers: 12.10.Dm; 12.60.-i
UDC 535.217, 539.21


Keywords: SO(10) model, grand unified theory (GUT), flavour non-diagonal decay, pseudo-dimension rule

 
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