Abstract.
By employing the QCD factorization approach, we calculated the next-to-leading order new physics contributions to the branching ratios, CP asymmetries, isospin and U-spin symmetry breaking of the exclusive decays \(B \to V \gamma\) (\(V = K^*, \rho\)), induced by the charged Higgs penguins in general two-Higgs-doublet models. Within the considered parameter space, we found that (a) the new physics corrections to the observables are generally small in model I and model III-A, moderate in model II, but large in model III-B; (b) from the well measured branching ratios and upper limits, a lower bound of M H > 200 GeV in model II was obtained, while the allowed range of M H in model III-B is \( 226 \leq M_{H} \leq 293 \) GeV; these bounds are comparable with those from the inclusive \(B \to X_s \gamma\) decay; (c) the NLO Wilson coefficient C 7(m b ) in model III-B is positive and disfavored by the measured value of isospin symmetry breaking \( \Delta_{0-}^{\mathrm{{exp}}} (K^*\gamma) = (3.9 \pm 4.8)\%\), but it still cannot be excluded if we take the large errors into account; (d) the CP asymmetry \(\mathcal{A}_{CP}(B \to \rho \gamma)\) in model III-B has an opposite sign to the one in the standard model (SM), which may be used as a good observable to distinguish the SM from model III-B; (e) the isospin symmetry breaking \( \Delta(\rho\gamma)\) is less than \(10\%\) in the region of \(\gamma = [ 40 \sim 70]^\circ\) preferred by the global fit result, but it can be as large as 20 to \(40\%\) in the regions of \(\gamma \leq 10^\circ\) and \(\gamma \geq 120^\circ\). The SM and model III-B predictions for \( \Delta(\rho\gamma)\) are opposite in sign for small or large values of the CKM angles; (f) the U-spin symmetry breaking \(\Delta U(K^*,\rho)\) in the SM and the general two-Higgs-doublet models is generally small in size: \(\sim 10^{-7}\).
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Received: 9 October 2003, Revised: 11 November 2003, Published online: 18 February 2004
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Xiao, Z., Zhuang, C. Exclusive \(B \to (K^*, \rho) \gamma\) decays in general two-Higgs-doublet models. Eur. Phys. J. C 33, 349–368 (2004). https://doi.org/10.1140/epjc/s2004-01592-0
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DOI: https://doi.org/10.1140/epjc/s2004-01592-0