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Quark mixing sum rules and the right unitarity triangle

Quark mixing sum rules and the right unitarity triangle
Quark mixing sum rules and the right unitarity triangle
In analogy with the recently proposed lepton mixing sum rules, we derive quark mixing sum rules for the case of hierarchical quark mass matrices with 1-3 texture zeros, in which the separate up and down-type 1-3 mixing angles are approximately zero, and Vub is generated from Vcb as a result of 1-2 up-type quark mixing. Using the sum rules, we discuss the phenomenological viability of such textures, including up to four texture zeros, and show how the right-angled unitarity triangle, i.e., ??90°, can be accounted for by a remarkably simple scheme involving real mass matrices apart from a single element being purely imaginary. In the framework of grand unified theories, we show how the quark and lepton mixing sum rules may combine to yield an accurate prediction for the reactor angle.
2470-0029
033008-033016
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinský, Michal
785b0309-215d-4dec-9579-bcbe53ee3677
Spinrath, Martin
5d3865c2-f012-4f91-aec0-2eda6117e161
Antusch, Stefan
6a8c0380-78ea-4bcb-afad-4348d84eafba
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Malinský, Michal
785b0309-215d-4dec-9579-bcbe53ee3677
Spinrath, Martin
5d3865c2-f012-4f91-aec0-2eda6117e161

Antusch, Stefan, King, Stephen F., Malinský, Michal and Spinrath, Martin (2010) Quark mixing sum rules and the right unitarity triangle. Physical Review D, 81 (3), 033008-033016. (doi:10.1103/PhysRevD.81.033008).

Record type: Article

Abstract

In analogy with the recently proposed lepton mixing sum rules, we derive quark mixing sum rules for the case of hierarchical quark mass matrices with 1-3 texture zeros, in which the separate up and down-type 1-3 mixing angles are approximately zero, and Vub is generated from Vcb as a result of 1-2 up-type quark mixing. Using the sum rules, we discuss the phenomenological viability of such textures, including up to four texture zeros, and show how the right-angled unitarity triangle, i.e., ??90°, can be accounted for by a remarkably simple scheme involving real mass matrices apart from a single element being purely imaginary. In the framework of grand unified theories, we show how the quark and lepton mixing sum rules may combine to yield an accurate prediction for the reactor angle.

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Published date: 2010

Identifiers

Local EPrints ID: 144131
URI: http://eprints.soton.ac.uk/id/eprint/144131
ISSN: 2470-0029
PURE UUID: 690cdd04-cf70-4644-9078-5b962ed58554

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Date deposited: 26 Apr 2011 10:17
Last modified: 17 Jul 2019 00:07

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