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Minimally flavored colored scalar in \( \overline{B}\to {D^{{\left( * \right)}}}\tau \overline{\nu} \) and the mass matrices constraints

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Abstract

The presence of a colored scalar that is a weak doublet with fractional electric charges of |Q| = 2/3 and |Q| = 5/3 with mass below 1 TeV can provide an explanation of the observed branching ratios in \( B\to {D^{{\left( * \right)}}}\tau \overline{\nu} \) decays. The required combination of scalar and tensor operators in the effective Hamiltonian for \( b\to c\tau \overline{\nu} \) is generated through the t-channel exchange. We focus on a scenario with a minimal set of Yukawa couplings that can address a semitauonic puzzle and show that its resolution puts a nontrivial bound on the product of the scalar couplings to \( \overline{\tau}b \) and \( \overline{c}\nu \). We also derive additional constraints posed by \( Z\to b\overline{b} \), muon magnetic moment, lepton flavor violating decays μ → eγ, τ → μγ, τ → eγ, and τ electric dipole moment. The minimal set of Yukawa couplings is not only compatible with the mass generation in an SU(5) unification framework, a natural environment for colored scalars, but specifies all matter mixing parameters except for one angle in the up-type quark sector. We accordingly spell out predictions for the proton decay signatures through gauge boson exchange and show that p → π0 e + is suppressed with respect to \( p\to {K^{+}}\overline{\nu} \) and even p → K 0 e + in some parts of available parameter space. Impact of the colored scalar embedding in 45-dimensional representation of SU(5) on low-energy phenomenology is also presented. Finally, we make predictions for rare top and charm decays where presence of this scalar can be tested independently.

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Authors and Affiliations

  1. Department of Physics, University of Sarajevo, Zmaja od Bosne 33-35, 71000, Sarajevo, Bosnia and Herzegovina

    Ilja Doršner

  2. Department of Physics, University of Ljubljana,, Jadranska 19, 1000, Ljubljana, Slovenia

    Svjetlana Fajfer

  3. J. Stefan Institute, Jamova 39, P.O. Box 3000, 1001, Ljubljana, Slovenia

    Svjetlana Fajfer, Nejc Košnik & Ivan Nišandžić

  4. Institute of Metals and Technology, Lepi pot 11, Ljubljana, Slovenia

    Nejc Košnik

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  1. Ilja Doršner
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Doršner, I., Fajfer, S., Košnik, N. et al. Minimally flavored colored scalar in \( \overline{B}\to {D^{{\left( * \right)}}}\tau \overline{\nu} \) and the mass matrices constraints. J. High Energ. Phys. 2013, 84 (2013). https://doi.org/10.1007/JHEP11(2013)084

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