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

doi:10.1088/1674-1137/34/10/001

Chinese Physics C> 2010, Vol. 34> Issue(10) : 1547-1555 DOI: 10.1088/1674-1137/34/10/001

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

Abstract
HTML
Reference
Related

PDF

Abstract：
We propose a simple set of hypotheses governing the deviations of the leptonic mapping matrix from the Harrison-Perkins-Scott (HPS) form. These deviations are supposed to arise entirely from a perturbation of the mass matrix in the charged lepton sector. The perturbing matrix is assumed to be purely imaginary (thus maximally T-violating) and to have a strength in energy scale no greater (but perhaps smaller) than the muon mass. As we shall show, it then follows that the absolute value of the mapping matrix elements pertaining to the tau lepton deviate by no more than O((m_μ/m_τ)²)≈3.5×10^－3 from
their HPS values.

Assuming that (m_μ/m_τ)² can be neglected, we derive two simple constraints on the four parameters θ₁₂, θ₂₃, θ₃₁, and δ of the mapping matrix. These constraints are independent of the details of the imaginary T-violating perturbation of the charged lepton mass matrix. We also show that the e and μ parts of the mapping matrix have a definite form governed by two parameters α and β; any deviation of order m_μ/m_τ can be accommodated by adjusting these two parameters.

References

[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]

[1]	Hai-Bin Zhang , Tai-Fu Feng , Shu-Min Zhao , Yu-Li Yan , Fei Sun . 125 GeV Higgs decay with lepton flavor violation in the μνSSM. Chinese Physics C, 2017, 41(4): 043106. doi: 10.1088/1674-1137/41/4/043106
[2]	LIANG Cui-Ying , DONG Yu-Bing . Deuteron form factors in a phenomenological approach. Chinese Physics C, 2015, 39(10): 104104. doi: 10.1088/1674-1137/39/10/104104
[3]	DONG Hai-Rong , FENG Feng , LI Hai-Bo . Lepton number violation in D meson decay. Chinese Physics C, 2015, 39(1): 013101. doi: 10.1088/1674-1137/39/1/013101
[4]	YANG Xiu-Yi , NIE Jing . Oblique parameters in gauged baryon and lepton numbers with a 125 GeV Higgs. Chinese Physics C, 2014, 38(5): 053101. doi: 10.1088/1674-1137/38/5/053101
[5]	ZHU Jing-Min . The entanglement property in matrix product spin systems. Chinese Physics C, 2012, 36(4): 311-315. doi: 10.1088/1674-1137/36/4/003
[6]	ZHU Jing-Min . Quantum phase transitions about parity breaking in matrix product systems. Chinese Physics C, 2011, 35(2): 144-148. doi: 10.1088/1674-1137/35/2/007
[7]	LI A-Hong , YIN Xue-Jun , FU Shi-Nian , SUN Zhi-Rui . Application of the transfer matrix for tuning the CSNS-DTL. Chinese Physics C, 2011, 35(10): 959-963. doi: 10.1088/1674-1137/35/10/014
[8]	PENG Yue-Mei , XU Gang . Analytical transfer matrix of a quadrupole fringe. Chinese Physics C, 2011, 35(11): 1047-1052. doi: 10.1088/1674-1137/35/11/013
[9]	HUANG Yu-Fei , LI Guang-Liang . Transfer matrix for the open chain from giant gravitons. Chinese Physics C, 2010, 34(7): 949-952. doi: 10.1088/1674-1137/34/7/004
[10]	E. Tomasi-Gustafsson (on behalf of the PANDA collaboration) . Form factor measurements with PANDA at FAIR. Chinese Physics C, 2010, 34(6): 863-868. doi: 10.1088/1674-1137/34/6/041
[11]	M. Bischofberger (for the Belle collaboration) . Rare decays of the tau lepton at Belle. Chinese Physics C, 2010, 34(6): 902-906. doi: 10.1088/1674-1137/34/6/048
[12]	Z. Wazir . Centrality of the collision and random matrix theory. Chinese Physics C, 2010, 34(10): 1593-1597. doi: 10.1088/1674-1137/34/10/008
[13]	S. Eidelman¹ , 2 . τ lepton decays. Chinese Physics C, 2010, 34(6): 896-901. doi: 10.1088/1674-1137/34/6/047
[14]	WANG Hai-Jun . Lorentz violation constrained by triplicity of lepton families and neutrino oscillations. Chinese Physics C, 2009, 33(6): 487-493. doi: 10.1088/1674-1137/33/6/016
[15]	R. W. Gothe . Nucleon transition form factors at JLab: status and outlook. Chinese Physics C, 2009, 33(12): 1216-1221. doi: 10.1088/1674-1137/33/12/026
[16]	YAO Tao , XIE Qu-Bing , SHAO Feng-Lan . An explanation for deviations from the quark number scaling of elliptic flows in low p_T region. Chinese Physics C, 2008, 32(5): 356-362. doi: 10.1088/1674-1137/32/5/006
[17]	. A Possible Relation between the Neutrino Mass Matrix and the Neutrino Mapping Matrix. Chinese Physics C, 2006, 30(7): 591-598.
[18]	Liu Yaoyang , Jiang Xiangdong , Zhou Jiange . A Quark Model Including Lepton Structure. Chinese Physics C, 1996, 20(S4): 339-351.
[19]	Chen Min , Hou Boyu , Shi Kangjie . Reflection Matrix of Z_n Belavin Model. Chinese Physics C, 1996, 20(S4): 325-331.
[20]	Wu Jimin , He Zhuoxiu . The Implications of the New Measurement of Lepton τ Mass. Chinese Physics C, 1993, 17(S2): 125-131.

Access

Get Citation

Deviations of the lepton mapping matrix from the Harrison-Perkins-Scott form[J]. Chinese Physics C, 2010, 34(10): 1547-1555. doi: 10.1088/1674-1137/34/10/001

Deviations of the lepton mapping matrix from the Harrison-Perkins-Scott form[J]. Chinese Physics C, 2010, 34(10): 1547-1555. doi: 10.1088/1674-1137/34/10/001 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-08-02
Revised: 2010-08-03

Article Metric

Article Views(2827)
PDF Downloads(793)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2010-08-02

Accepted Date: 2010-08-03

Available Online: 2010-10-05

Abstract:

We propose a simple set of hypotheses governing the deviations of the leptonic mapping matrix from the Harrison-Perkins-Scott (HPS) form. These deviations are supposed to arise entirely from a perturbation of the mass matrix in the charged lepton sector. The perturbing matrix is assumed to be purely imaginary (thus maximally T-violating) and to have a strength in energy scale no greater (but perhaps smaller) than the muon mass. As we shall show, it then follows that the absolute value of the mapping matrix elements pertaining to the tau lepton deviate by no more than O((m_μ/m_τ)²)≈3.5×10^－3 from
their HPS values.

Assuming that (m_μ/m_τ)² can be neglected, we derive two simple constraints on the four parameters θ₁₂, θ₂₃, θ₃₁, and δ of the mapping matrix. These constraints are independent of the details of the imaginary T-violating perturbation of the charged lepton mass matrix. We also show that the e and μ parts of the mapping matrix have a definite form governed by two parameters α and β; any deviation of order m_μ/m_τ can be accommodated by adjusting these two parameters.

HTML

Reference (1)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录