Deviations of the lepton mapping matrix from the Harrison-Perkins-Scott form

[1]
Harrison P F,Perkins D H,Scott W G.Phys.Lett.B,2002,530:167; HE X G,Zee A.Phys.Lett.B,2003,560:87[2] MA E,Rajasekaran G.Phys.Rev.D,2001,64:113012[arXiv:hep-ph/010629]; MA E.Mod.Phys.Lett.A,2002,17:627[arXiv:hep-ph/0203238]; Altarelli G,Ferruglio F.Nucl.Phys.B,2006,741:215[arXiv:hep-ph/0512103][3] XING Z Z.Phys.Lett.B,2002,533:85; Harrison P F,Scott W G.Phys.Lett.B,2002,535:163[4] Friedberg R.,Lee T D.Ann.Phys.,2009,324:2196; Araki T,Geng C Q.Phys.Rev.D,2009,79:077301[arXiv:0901.4820v2][5] Jarlskog C.Phys.Rev.D,1987,35:1685[6] Ashie Yet al(Super Kam collaboration).Phys.Rev.Lett.,2004,93:101801[arXiv:0808.2016]; Hosaka Jet al.Phys.Rev.D,2006,74:032002; Abe K et al.Phys.Rev.Lett.,2006,97:171801[7] Apollonio M et al(Chooz collaboration).Eur.Phys.J.C,2003,27:331[arXiv:hep-ex/0301017][8] Araki T et al(KamLAND collaboration).Phys.Rev.Lett.,2005,94:081801[arXiv:hep-ex/0406035][9] Adamson Pet al(MINOS collaboration).Phys.Rev.Lett.,2009,103:261802[arXiv:0909.4996][10] Fogli G L et al.Phys.Rev.D,2008,78:033010; Schwetz T et al.New J.Phys.,2008,10:113011; XING Z Z.Int.J.Mod.Phys.A,2008,23:4355[11] Abdurashitov J N et al(SAGE collaboration).Phys.Rev.C,2009,80:015907[arXiv:0901.2200][12] Aharmin B et al(SNO collaboration).Phys.Rev.Lett.,2008,101:111501[13] Hosaka J et al(Super Kam collaboration).Phys.Rev.D,2006,73:112001[arXiv:hep-ex/0508053][14] GE S F,HE H J,YIN F R..JCAP 05(2010)017[arXiv:1001.0940][15] Palomares C(Double-Chooz collaboration).[arXiv:0911.3227]; Ardellier F et al.[arXiv:hep-ex/0405032]; Ardellier F et al.[arXiv:hep-ex/0606025][16] Gue X et al(Daya Bay collaboration).[arXiv:hepex/070120]; CHEN S.J.Phys.:Conference Series,2008,120:052024; White C.J.Phys.:Conference Series,2008,136:022012[17] Ichikawa A K(J Parc collaboration).Lect.Notes Phys.,2009,781:17[18] Ayres D S et al(Nova collaboration).[arXiv:hep-ex/0503053]