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Complete anatomy of \( {\overline B_d} \to {\overline {\text{K}}^{{*0}}} \)(→ Kπ)ℓ + ℓ − and its angular distribution

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Abstract

We present a complete and optimal set of observables for the exclusive 4-body \( \overline B \) meson decay \( {\overline B_d} \to {\overline {\text{K}}^{{*0}}} \)(→ Kπ)ℓ + ℓ −in the low dilepton mass region, that contains a maximal number of clean observables. This basis of observables is built in a systematic way. We show that all the previously defined observables and any observable that one can construct, can be expressed as a function of this basis. This set of observables contains all the information that can be extracted from the angular distribution in the cleanest possible way. We provide explicit expressions for the full and the uniangular distributions in terms of this basis. The conclusions presented here can be easily extended to the large-q 2 region. We study the sensitivity of the observables to right-handed currents and scalars. Finally, we present for the first time all the symmetries of the full distribution including massive terms and scalar contributions.

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Authors and Affiliations

  1. Universitat Autònoma de Barcelon, 08193, Bellaterra, Barcelona, Spain

    J. Matias, M. Ramon & J. Virto

  2. Departament d’Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, 08028, Barcelona, Spain

    F. Mescia

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  1. J. Matias
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  2. F. Mescia
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  3. M. Ramon
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  4. J. Virto
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Correspondence to J. Virto.

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ArXiv ePrint: 1202.4266

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Matias, J., Mescia, F., Ramon, M. et al. Complete anatomy of \( {\overline B_d} \to {\overline {\text{K}}^{{*0}}} \)(→ Kπ)ℓ + ℓ − and its angular distribution. J. High Energ. Phys. 2012, 104 (2012). https://doi.org/10.1007/JHEP04(2012)104

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