Symmetric versus antisymmetric mass matrices in grand unified theories

Aharon Davidson; Kameshwar C. Wali

doi:10.1016/0370-2693(80)90896-5

Symmetric versus antisymmetric mass matrices in grand unified theories

Aharon Davidson, Kameshwar C. Wali

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We point out some interesting consequences of antisymmetric fermionic mass terms in grand unified theories, which follow from the symmetry properties of the Yukawa-type fermion-Higgs interactions. In SU(5), we show that an antisymmetric mass matrix M(u) in the up-quark sector arises when the Higgs 5 is replaced by 45. IOn SO(10), all the fermion sectors are characterized by such mass matrices if the neutrinos are required not to pick up the ordinary fermionic mass scale. In the recently proposed vertical-horizontal symmetric SU(5) × SU(5) scheme, a fully antisymmetric M(u) is naturally accompanied by exactly five zeroth-order massless neutrinos.

Original language	English
Pages (from-to)	359-363
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	94
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(80)90896-5
State	Published - 1 Jan 1980
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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AB - We point out some interesting consequences of antisymmetric fermionic mass terms in grand unified theories, which follow from the symmetry properties of the Yukawa-type fermion-Higgs interactions. In SU(5), we show that an antisymmetric mass matrix M(u) in the up-quark sector arises when the Higgs 5 is replaced by 45. IOn SO(10), all the fermion sectors are characterized by such mass matrices if the neutrinos are required not to pick up the ordinary fermionic mass scale. In the recently proposed vertical-horizontal symmetric SU(5) × SU(5) scheme, a fully antisymmetric M(u) is naturally accompanied by exactly five zeroth-order massless neutrinos.

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Symmetric versus antisymmetric mass matrices in grand unified theories

Abstract

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