Theory and phenomenology of two-Higgs-doublet models

http://www-com.physik.hu-berlin.de/~fjeger/gm2review.pdf

The muon g ― 2

The Next-to-Minimal Supersymmetric Standard Model

Based on the full BaBar data sample, we report improved measurements of the ratios R(D(*)) = B(B -> D(*) Tau Nu)/B(B -> D(*) l Nu), where l is either e or mu. These ratios are sensitive to new physics contributions in the form of a charged Higgs boson. We measure R(D) = 0.440 +- 0.058 +- 0.042 and R(D*) = 0.332 +- 0.024 +- 0.018, which exceed the Standard Model expectations by 2.0 sigma and 2.7 sigma, respectively. Taken together, our results disagree with these expectations at the 3.4 sigma level. This excess cannot be explained by a charged Higgs boson in the type II two-Higgs-doublet model. We also report the observation of the decay B -> D Tau Nu, with a significance of 6.8 sigma.

/pdf/evidence-for-an-excess-of-b-d-t-n-t-decays-rq5i0ehtck.pdf

Evidence for an excess of B̄→D( *)τ -ν ̄τ decays

We review the theoretical and phenomenological aspects of the Next-to-Minimal Supersymmetric Standard Model: the Higgs sector including radiative corrections and the 2-loop beta-functions for all parameters of the general NMSSM; the tadpole and domain wall problems, baryogenesis; NMSSM phenomenology at colliders, B physics and dark matter; specific scenarios as the constrained NMSSM, Gauge Mediated Supersymmetry Breaking, U(1)'-extensions, CP and R-parity violation.

Combining our results for various $O({\ensuremath{\alpha}}_{s}^{2})$ corrections to the weak radiative $B$-meson decay, we are able to present the first estimate of the branching ratio at the next-to-next-to-leading order in QCD. We find $\mathcal{B}(\overline{B}\ensuremath{\rightarrow}{X}_{s}\ensuremath{\gamma})=(3.15\ifmmode\pm\else\textpm\fi{}0.23)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}$ for ${E}_{\ensuremath{\gamma}}g1.6\text{ }\text{ }\mathrm{GeV}$ in the $\overline{B}$-meson rest frame. The four types of uncertainties: nonperturbative (5%), parametric (3%), higher-order (3%), and ${m}_{c}$-interpolation ambiguity (3%) have been added in quadrature to obtain the total error.

/pdf/estimate-ofb-b-xsg-ato-as2-7s4458i80k.pdf

Estimate ofB(B¯→Xsγ)atO(αs2)

Estimate of B(B → Xsγ) at O(α2s)

We review the NLL QCD calculations for the branching ratio of B → X
 s
 γ in the SM. In particular, we emphasize the problem related to the definition of the charm quark mass which leads to a rather large uncertainty of the NLL predictions. The various steps needed for a NNLL calculation, in which the m
 c
 issue can be settled, is also sketched. We briefly summarize the results of a calculation of the ${\cal O} (\alpha_s^2 n_f)$
 corrections to BR(B → X
 s
 γ), which was recently performed as a first step in the NNLL program. We then also briefly review the status of the photon energy spectrum and show the comparison with experimental data. Finally, we review the status of the CKM suppressed decay mode B → X
 d
 γ.

Review on the inclusive rare decays B → X s γ and B → X d γ in the Standard Model

We review the NLL QCD calculations for the branching ratio of B -> X_s gamma in the SM. In particular, we emphasize the problem related to the definition of the charm quark mass which leads to a rather large uncertainty of the NLL predictions. The various steps needed for a NNLL calculation, in which the m_c issue can be settled, is also sketched. We briefly summarize the results of a calculation of the O(alpha_s^2 n_f) corrections to BR(B -> X_s gamma), which was recently performed as a first step in the NNLL program. We then also briefly review the status of the photon energy spectrum and show the comparison with experimental data. Finally, we review the status of the CKM suppressed decay mode B -> X_d gamma.

Review on the inclusive rare decays B -> X_s gamma and B -> X_d gamma in the Standard Model

In this paper we take the first step towards a complete next-to-next-to-leading logarithmic (NNLL) calculation of the inclusive decay rate for $\stackrel{\ensuremath{\rightarrow}}{B}{X}_{s}\ensuremath{\gamma}.$ We consider the virtual corrections of the order of ${\ensuremath{\alpha}}_{s}^{2}{n}_{f}$ to the matrix elements of the operators ${O}_{1},$ ${O}_{2}$ and ${O}_{8}$ and evaluate the real and virtual contributions to ${O}_{7}.$ These corrections are expected to be numerically important. We observe a strong cancellation between the contributions from the current-current operators and ${O}_{7}$ and obtain, after applying naive non-Abelianization, a reduction of the branching ratio of 3.9% (for $\ensuremath{\mu}=3.0\mathrm{GeV})$ and an increase of 3.4% (for $\ensuremath{\mu}=9.6\mathrm{GeV}).$

Fermionic next-to-next-to leading logarithmic corrections to b → s γ

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