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Repercussions of flavour symmetry breaking on CP violation in D-meson decays

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Abstract

We investigate to what extent the recently measured value for a non-vanishing direct CP asymmetry in D 0 → K + K − and D0 → π + π − decays can be accommodated in the Standard Model (SM) or extensions with a constrained flavour sector, for instance from a sequential 4th generation of quarks (4 G). From the comparison with D 0 → K − π + branching ratios, we establish large U-spin symmetry (d ↔ s) breaking effects with large strong phases between different interfering amplitudes. On the basis of conservative estimates on amplitude ratios — which are supported by an analysis of the breaking of a c ↔ u symmetry in non-leptonic B0 decays — we find that, in the SM, direct CP asymmetries in the π + π − or K + K − modes (or in their difference) of the order of several per mille are still plausible. Due to the constraints on the new CP phases in the 4 G model, only moderate effects compared to the SM estimates are possible. We suggest CP studies at LHCb as well as at (Super)B-factories of several distinctive modes, such as D + → \( \overline K \) (∗)0 π +, ϕπ + and D s  → K (∗)0 π +, ϕπ +(K +) etc., which should shed more light on the short- and long-distance issues underlying CP violation in non-leptonic D-meson decays.

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  1. Theoretische Elementarteilchenphysik, Naturwissenschaftlich Technische Fakultat, Universit¨at Siegen, 57068, Siegen, Germany

    Thorsten Feldmann & Soumitra Nandi

  2. Physics Department, Theory Group, Brookhaven National Laboratory, Upton, NY, 11973, U.S.A

    Amarjit Soni

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  1. Thorsten Feldmann
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  2. Soumitra Nandi
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Correspondence to Thorsten Feldmann.

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Feldmann, T., Nandi, S. & Soni, A. Repercussions of flavour symmetry breaking on CP violation in D-meson decays. J. High Energ. Phys. 2012, 7 (2012). https://doi.org/10.1007/JHEP06(2012)007

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