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FIZIKA B 7 (1998) 3, 139-153
 
SO(10) MODEL OF GUT, PSEUDO - DIMENSION RULE AND THE DECAY KL0® m`e
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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