The third type of fermion mixing in the lepton and quark interactions with leptoquarks

Abstract

The low-energy manifestations of a minimal extension of the electroweak standard model based on the quark-lepton symmetry $SU(4{)}_V\otimes SU(2{)}_L\otimes G_R$ of the Pati--Salam type are analyzed. Given this symmetry the third type of mixing in the interactions of the $SU(4{)}_V$ leptoquarks with quarks and leptons is shown to be required. An additional arbitrariness of the mixing parameters could allow, in principle, to decrease noticeably the lower bound on the vector leptoquark mass originated from the low-energy rare processes, strongly suppressed in the standard model.

arXiv comment19 pages, LaTeX, 3 EPS figures, submitted to Int. J. Mod. Phys. A; version 2: typos corrected, references added, presentation improved, the version to be published

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• SO(10) paths to dark matter
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• Chiral gauge leptoquark mass limits and branching ratios of $K_L^0,B^0,B_s\to l_i^{+}{l}_j^{-}$ decays with account of the general fermion mixing in leptoquark currents