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.

19 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

References in corpus (3)

• Mass limits for scalar and gauge leptoquarks from $K_L^0\to e^{\mp }{\mu }^{\pm },B^0\to e^{\mp }{\tau }^{\pm }$ decays
• Search for the Decays $B_{(s)}^0\to e^{+}{\mu }^{-}$ and $B_{(s)}^0\to e^{+}{e}^{-}$ in CDF Run II
• Search for Third Generation Vector Leptoquarks in p anti-p Collisions at sqrt(s) = 1.96 TeV

Cited by in corpus (8)

• Gauge leptoquark as the origin of B-physics anomalies
• Baryon Number and Lepton Universality Violation in Leptoquark and Diquark Models
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• Massive vectors and loop observables: the $g-2$ case
• Unified SU(4) theory for the $R_{D^{(\ast )}}$ and $R_{K^{(\ast )}}$ anomalies
• Gauge vectors and double beta decay
• All possible first signals of gauge leptoquark in quark-lepton unification and beyond
• 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