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Is the Unitarity Triangle Right? · Around

2009

Is the Unitarity Triangle Right?

Harrison, P. F., Roythorne, D. R. J., Scott, W. G.

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The latest fits to the CKM matrix indicate that alpha=(90.7+4.5-2.9) degrees.

The proximity of alpha to a right-angle raises the question: is it merely accidental or is it due to some physics beyond the Standard Model? In the framework of our recently-proposed flavour permutation symmetry, we consider the similarities between the quark and lepton mixing matrices, V and U, arguing that the relative smallness of one element in each suggests common constraints.
These constraints link the smallness of V_ub and U_e3 with each other, and with the approximate mu-tau symmetry observed in leptonic mixing, together with a prediction of a large Dirac CP phase in both the quark and lepton sectors.
In the quark case, we predict alpha=(89.0\pm 0.2) degrees, in agreement with data and suggesting that the unitarity triangle is in fact very nearly, but not exactly right.

Built on

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Similar

P.F. Harrison, D.H. Perkins, and W.G. Scott, Phys. Lett. B458 (1999) 79, hep-ph/9904297
2002
Cited alongside, same era.
C.S. Lam, Phys. Lett. B507 (2001) 214, hep-ph/0104116
2004
Cited alongside, same era.
CKMfitter Group (J. Charles et al.), Eur. Phys. J. C41 (2005) 1, hep-ph/0406184
2005
Cited alongside, same era.
P.F. Harrison, D.R.J. Roythorne and W.G. Scott, in preparation
Cited in the paper.
P.F. Harrison, S. Dallison and W.G. Scott, arXiv:0904.3077
Original
Cited in the paper.

Then

P.F. Harrison, W.G. Scott and T.J. Weiler, Phys. Lett. B641 (2006) 372, hep-ph/0607335
2006
Later among the works it cites.
J.D. Bjorken, P.F. Harrison and W.G. Scott, Phys. Rev. D 74
Original
2006
Later among the works it cites.
P.F. Harrison, D.R.J. Roythorne and W.G. Scott, Phys. Lett. B657 (2007) 210, arXiv:0709.1439
Original
2007
Later among the works it cites.

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