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The CKM Matrix and The Unitarity Triangle: Another Look

Andrzej J. Buras1, Fabrizio Parodi2 and Achille Stocchi3,4

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The unitarity triangle can be determined by means of two measurements of its sides or angles. Assuming the same relative errors on the angles (α,β,γ) and the sides (Rb,Rt), we find that the pairs (γ,β) and (γ,Rb) are most efficient in determining (bar varrho,bar eta) that describe the apex of the unitarity triangle. They are followed by (α,β), (α,Rb), (Rt,β), (Rt,Rb) and (Rb,β). As the set |Vus|, |Vcb|, Rt and β appears to be the best candidate for the fundamental set of flavour violating parameters in the coming years, we show various constraints on the CKM matrix in the (Rt,β) plane. Using the best available input we determine the universal unitarity triangle for models with minimal flavour violation (MFV) and compare it with the one in the Standard Model. We present allowed ranges for sin 2β, sin 2α, γ, Rb, Rt and ΔMs within the Standard Model and MFV models. We also update the allowed range for the function Ftt that parametrizes various MFV-models.


Keywords

Quark Masses and SM Parameters

Heavy Quarks Physics

Weak Decays

 

E-print Number: hep-ph/0207101

Cited: by |

Refers: to

PACS

11.55.-m S-matrix theory; analytic structure of amplitudes

11.30.Hv Flavor symmetries

14.65.-q Quarks

12.39.-x Phenomenological quark models

12.10.Dm Unified theories and models of strong and electroweak interactions

Subjects

Particle physics and field theory

Dates

Issue 01 (January 2003)

Received 23 October 2002, accepted for publication 15 January 2003

Published 7 February 2003



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