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Nuclear Physics B
Article . 2006 . Peer-reviewed
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Nuclear Physics B
Article
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https://dx.doi.org/10.48550/ar...
Article . 2005
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Quark–lepton universality and large leptonic mixing

Authors: Joshipura, Anjan S.; Smirnov, A. Yu.;

Quark–lepton universality and large leptonic mixing

Abstract

A unified description of fermionic mixing is proposed which assumes that in certain basis ($i$) a single complex unitary matrix $V$ diagonalizes mass matrices of all fermions to the leading order, ($ii$) the SU(5) relation $M_d=M_l^T$ exists between the mass matrices of the down quarks and the charged leptons, and ($iii$) $M_d^\dagger=M_d$. These assumptions automatically lead to different mixing patterns for quarks and leptons: quarks remain unmixed to leading order ($i. e. V_{CKM}=1$) while leptons have non-trivial mixing given by a symmetric unitary matrix $V^0_{PMNS} = V^T V$. $V$ depends on two physical mixing angles and for values of these angles $\sim 20^\circ-25 ^\circ$ it reproduces the observed mixing patterns rather well. We identify conditions under which the universal mixing $V$ follows from the universal mass matrices of fermions. Relatively small perturbations to the leading order structure lead to the CKM mixing and corrections to $V^0_{PMNS}$. We find that if the correction matrix equals the CKM matrix, the resulting lepton mixing agrees well with data and predicts $\sin ��_{13} > 0.08$. In a more general context, the assumption of partial universality ($i.e.$, different mixing for the up and the down components of doublets) is shown to lead to a complementarity relation $V_{PMNS}V_{CKM}=V^TV$ in the lowest order.

22 pages, 2 figures; references added; abstract slightly modified

Keywords

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), FOS: Physical sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Average
Average
Green
gold