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Europhys. Lett.
Volume 47, Number 4, August 1999
Page(s) 428 - 434
Section The physics of elementary particles and fields
Published online 01 September 2002
DOI: 10.1209/epl/i1999-00546-1

Europhys. Lett, 47 (4), pp. 428-434 (1999)

An approach to generate large and small leptonic mixing angles

B. Brahmachari

Indiana University - Bloomington, IN 47406, USA

(received 24 March 1999; accepted 10 June 1999)

PACS. 12.15Ff - Quark and lepton masses and mixing.
PACS. 12.15Hh - Determination of Kobayashi-Maskawa matrix elements.
PACS. 14.60Pq - Neutrino mass and mixing.


We take up the point of view that Yukawa couplings can be either 0 or 1, and the mass patterns of fermions are generated purely from the structure of the Yukawa matrices. We utilize such neutrino as well as charged leptonic textures which lead to (maximal) mixing angles of $\pi/4$ in each sector for relevant transitions. The combined leptonic CKM mixing angles are $\pi/4 \pm \pi/4$ which lead to very small $\sin^2 2 \Theta$ relevant to solar neutrino and LSND experiments. We propose that, on the other hand, the absence of the charged leptonic partner of the sterile neutrino maintains the angle $\pi/4$ from the neutrino sector for the transition $\nu_\mu \leftrightarrow \nu_s$ and hence the atmospheric neutrino anomaly is explained through maximal mixing.



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