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Three Lectures on Meson Mixing and CKM phenomenology

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arxiv 0904.1869 v1 pith:UKQBIARO submitted 2009-04-12 hep-ph

classification hep-ph
keywords mixingdeltamesonneutralviolationaimingapexassociated
verification ladder T0 review T1 audit T2 compute T3 formal
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I give an introduction to the theory of meson-antimeson mixing, aiming at students who plan to work at a flavour physics experiment or intend to do associated theoretical studies. I derive the formulae for the time evolution of a neutral meson system and show how the mass and width differences among the neutral meson eigenstates and the CP phase in mixing are calculated in the Standard Model. Special emphasis is laid on CP violation, which is covered in detail for K mixing, Bd mixing and Bs mixing. I explain the constraints on the apex (rho-bar,eta-bar) of the unitarity triangle implied by epsilon_K, Delta m_{B_d}, Delta m_{B_d}/(Delta m_{B_s}) and various mixing-induced CP asymmetries such as a_CP(Bd-bar -> J/psi K_short)(t). The impact of a future measurement of CP violation in flavour-specific Bd decays is also shown.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Current-current operator contribution to the decay matrix in $B$-meson mixing at next-to-next-to-leading order of QCD

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The full charm-mass dependence of the three-loop current-current contribution to the B-meson decay matrix is computed, yielding Delta_Gamma_s = (0.077 +/- 0.016) ps^-1 with the leading-term perturbative error reduced ...

  2. Neutrino Flavour Waves Through the Quantum Vacuum: A Theory of Oscillations

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A new framework treats neutrino flavour changes as wave refraction in the Higgs vacuum, reproducing the standard oscillation probability while predicting a universal neutrino speed and massless production.

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