Top and Higgs Flavor Changing Neutral Couplings in two Higgs Doublets Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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24 pages,9 eps figures, references added, to appear in PRD

Scientific paper

10.1103/PhysRevD.72.075016

We study various channels of top and Higgs Flavor Changing Neutral Couplings (FCNC) in the two Higgs doublet Model with natural flavor conservation (2HDM-I and 2HDM-II). We update known results about t\to c \gamma, c Z, cg and comment on t\to c h0. The decays $t\to c h0$ as well as {h0,H0}\to \bar{t}c are sensitive both to the bottom Yukawa coupling as well as to the trilinear scalar couplings h0H+H- and H0H+H-. After imposing unitarity constraints as well as vacuum stability conditions on scalar sector parameters, in 2HDM-II we found that for large $\tan\beta\ga 40$ and rather light charged Higgs mass $M_{H+}\la 150$ GeV, the maximum values allowed for Br(t\to c h0), {\rm Br}(H0\to \bar{t}c) and {\rm Br}(h0\to \bar{t}c) are: $8\times 10^{-5}$, $10^{-3}$ and $10^{-4}$ respectively. For charged Higgs mass in the range [200,300] GeV, which can accommodate $B\to X_s\gamma$ constraint if one takes into account large theoretical uncertainties, the branching ratio of both H0\to\bar{t}c and h0\to \bar{t}c can still be slightly larger than $10^{-5}$. For A0\to \bar{t}c, its branching ratio is smaller than $\approx 10^{-7}$ in both 2HDM-I and 2HDM-II. We study also the top-charm associated production at e+e- colliders and its \gamma\gamma option as well as at muon colliders. It is found that the cross section of \gamma\gamma\to \bar{t}c can be of the order $0.01\to 0.1$ fb near threshold region, while the cross section of e+e-\to \bar{t}c is well below $10^{-2}$ fb. The situation is slightly better for muon colliders where a few fb cross section can be reached for large \tan\beta and low center of mass energy \sqrt{s}\la 500 GeV.

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