Unitarity Triangles and the Search for New Physics

Abstract

Assuming that the Kobayashi-Maskawa mechanism gives the dominant contribution to CP violation at low energies, we propose a novel way of testing the flavour sector of the Standard Model which has the potencial for discovering New Physics. Using 3 x 3 unitarity of the V_{CKM} matrix and choosing a complete set of rephasing invariant phases, we derive a set of exact relations in terms of measurable quantities, namely moduli of V_{CKM} and arguments of rephasing invariant quartets. These tests complement the usual analysis in the ρ, ηplane and, if there is New Physics, may reveal its source.

20 pages, 7 figures, uses tcilatex

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Cited by in corpus (15)

• New Physics and Evidence for a Complex CKM
• Vector-like Singlet Quarks: a Roadmap
• The Hunt for New Physics in the Flavour Sector with up vector-like quarks
• Non-Factorizable Phases, Yukawa Textures and the Size of sin (2 beta)
• CP violation and limits on New Physics including recent $B_s$ measurements
• Small violations of unitarity, the phase in Bs mixing and visible t->cZ decays at the LHC
• Shedding Light on the "Dark Side" of $B_d^0$--${\bar{B}}_d^0$ Mixing through $B_d\to {\pi }^{+}{\pi }^{-}$, $K\to \pi \nu \bar{\nu }$ and $B_{d,s}\to {\mu }^{+}{\mu }^{-}$
• The size of chi = arg (-Vts Vtb* Vcs* Vcb) and physics beyond the Standard Model
• Yukawa Textures, New Physics and Nondecoupling
• The Matrix of Unitarity Triangle Angles for Quarks
• Building the full PMNS Matrix from six independent Majorana-type phases
• Global fits to the Cabibbo-Kobayashi-Maskawa matrix: unitarity condition method versus standard unitarity triangles approach
• CP violation versus flavour in supersymmetric theories
• Bounds on gamma from CP violation measurements in B -> pi+ pi- and B -> psi K_S
• Flavour Physics and CP Violation in the Standard Model and Beyond