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Global horizontal symmetry

It is pointed out that the present SU(3)_c×SU(2)_L×U(1) gauge interactions with three families have a global horizontal symmetry (denoted hereby SU(3)_H) which is broken only by the weak charged hadron currentJ_h. Also, with (u, c), (d, s), (v_e, {ie437-1}) and (e⁻,μ⁻) as doublets of SU(2)_H (subgroup of SU(3)_H),J_h has simple transformation properties under this subgroup. Amplitude relations, using SU(2)_H symmetry, for hadronic leptonic and semileptonic decays are given.

V Gupta¹

1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India

Published

June 1985

Manuscript received

1 January 1985