“Quark–lepton complementarity”的意思、由来-开放百科全书

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Quark–lepton complementarity

释义

Possible evidence for QLC
Open questions
See also
References

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The quark–lepton complementarity (QLC) is a possible fundamental symmetry between quarks and leptons. First proposed in 1990 by Foot and Lew,^[1] it assumes that leptons as well as quarks come in three "colors". Such theory may reproduce the Standard Model at low energies, and hence quark–lepton symmetry may be realized in nature.

Possible evidence for QLC

Recent{{when|date=September 2018}} neutrino experiments confirm that the Pontecorvo–Maki–Nakagawa–Sakata matrix U_PMNS contains large{{clarify|date=August 2016}} mixing angles. For example, atmospheric measurements of particle decay yield {{PhysicsParticle|θ|TR=PMNS|BR=23}} ≈ 45°, while solar experiments yield {{PhysicsParticle|θ|TR=PMNS|BR=12}} ≈ 34°. These results should be compared with {{PhysicsParticle|θ|TR=PMNS|BR=13}} which is small,^[2] and with the quark mixing angles in the Cabibbo–Kobayashi–Maskawa matrix U_CKM. The disparity that nature indicates between quark and lepton mixing angles has been viewed in terms of a "quark–lepton complementarity" which can be expressed in the relations

Possible consequences of QLC have been investigated in the literature and in particular a simple correspondence between the PMNS and CKM matrices have been proposed and analyzed in terms of a correlation matrix. The correlation matrix V_M is simply defined as the product of the CKM and PMNS matrices:

Unitarity implies:

Open questions

One may ask where do the large lepton mixings come from? Is this information implicit in the form of the V_M matrix? This question has been widely investigated in the literature, but its answer is still open. Furthermore, in some Grand Unification Theories (GUTs) the direct QLC correlation between the CKM and the PMNS mixing matrix can be obtained. In this class of models, the matrix is determined by the heavy Majorana neutrino mass matrix.

Despite the naive relations between the PMNS and CKM angles,

a detailed analysis shows that the correlation matrix is phenomenologically compatible with a tribimaximal pattern, and only marginally with a bimaximal pattern. It is possible to include bimaximal forms of the correlation matrix V_M in models with renormalization effects that are relevant, however, only in particular cases with tanβ > 40 and with quasi-degenerate neutrino masses.

References

1. ^{{cite journal |author=R. Foot, H. Lew |title=Quark-lepton-symmetric model |journal=Physical Review D |volume=41 |issue=11 |pages=3502–3505 |year=1990 |doi=10.1103/PhysRevD.41.3502|bibcode = 1990PhRvD..41.3502F }}
2. ^F. P. An et al. [DAYA-BAY Collaboration], Phys. Rev. Lett. 108, 171803 (2012) [arXiv:1203.1669 [hep-ex]] https://arxiv.org/abs/arXiv:1203.1669

{{cite journal

|author1=B.C. Chauhan |author2=M. Picariello |author3=J. Pulido |author4=E. Torrente-Lujan |title=Quark-lepton complementarity, neutrino and standard model data predict θ{{su|p=PMNS|b=13}} {{=}} ({{val|9|+1|-2}})°
|journal=European Physical Journal C
|volume=50 |issue=3 |pages=573–578
|doi=10.1140/epjc/s10052-007-0212-z
|arxiv=hep-ph/0605032
|year=2007
|bibcode = 2007EPJC...50..573C }}

{{cite journal

|author=K.M. Patel
|title=An SO(10) × S₄ Model of Quark-Lepton Complementarity;
|journal=Physics Letters B
|doi=10.1016/j.physletb.2010.11.024
|volume=695
|issue=1–4
|pages=225–230
|arxiv=1008.5061
|year=2011
|bibcode = 2011PhLB..695..225P }}{{DEFAULTSORT:Quark-Lepton Complementarity}}

4 : Leptons|Quarks|Standard Model|Particle physics

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Possible evidence for QLC

Open questions

See also

References