The link between the emergence of the GIM mechanism and the nature of the neutral-current parity violation

Aharon Davidson; Jogesh C. Pati

doi:10.1016/0550-3213(80)90008-5

The link between the emergence of the GIM mechanism and the nature of the neutral-current parity violation

Aharon Davidson, Jogesh C. Pati

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3 Scopus citations

Abstract

We show that minimization of the Higgs potential within the unifying symmetry [SU(4)]⁴ together with the requirement that the GIM mechanism should emerge as a consequence of spontaneous breakdown of the symmetry on the flavor side leaves us with onechoice regarding the nature of parity violation: charged current as well as neutral current parity violations must have one and the same origin; if the former is à la SU(2)_L×U(1), so must be the latter. Furthermore, there appear to be only two possible alternative forms for the low-energy electroweak symmetry: (i) the familiar SU(2)_L×U(1), and (ii) and extended symmetry SU(2)_L×U(1)_L×Ũ(1)_R differing from the former only in the parity-conserving neutral current sector.

Original language	English
Pages (from-to)	175-188
Number of pages	14
Journal	Nuclear Physics B
Volume	175
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(80)90008-5
State	Published - 1 Jan 1980
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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abstract = "We show that minimization of the Higgs potential within the unifying symmetry [SU(4)]4 together with the requirement that the GIM mechanism should emerge as a consequence of spontaneous breakdown of the symmetry on the flavor side leaves us with onechoice regarding the nature of parity violation: charged current as well as neutral current parity violations must have one and the same origin; if the former is {\`a} la SU(2)L×U(1), so must be the latter. Furthermore, there appear to be only two possible alternative forms for the low-energy electroweak symmetry: (i) the familiar SU(2)L×U(1), and (ii) and extended symmetry SU(2)L×U(1)L×Ũ(1)R differing from the former only in the parity-conserving neutral current sector.",

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AU - Pati, Jogesh C.

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N2 - We show that minimization of the Higgs potential within the unifying symmetry [SU(4)]4 together with the requirement that the GIM mechanism should emerge as a consequence of spontaneous breakdown of the symmetry on the flavor side leaves us with onechoice regarding the nature of parity violation: charged current as well as neutral current parity violations must have one and the same origin; if the former is à la SU(2)L×U(1), so must be the latter. Furthermore, there appear to be only two possible alternative forms for the low-energy electroweak symmetry: (i) the familiar SU(2)L×U(1), and (ii) and extended symmetry SU(2)L×U(1)L×Ũ(1)R differing from the former only in the parity-conserving neutral current sector.

AB - We show that minimization of the Higgs potential within the unifying symmetry [SU(4)]4 together with the requirement that the GIM mechanism should emerge as a consequence of spontaneous breakdown of the symmetry on the flavor side leaves us with onechoice regarding the nature of parity violation: charged current as well as neutral current parity violations must have one and the same origin; if the former is à la SU(2)L×U(1), so must be the latter. Furthermore, there appear to be only two possible alternative forms for the low-energy electroweak symmetry: (i) the familiar SU(2)L×U(1), and (ii) and extended symmetry SU(2)L×U(1)L×Ũ(1)R differing from the former only in the parity-conserving neutral current sector.

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The link between the emergence of the GIM mechanism and the nature of the neutral-current parity violation

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