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Top quark production offers the unique opportunity to search for a chargedHiggs boson ($H^\pm$), as the contribution from $t\to H^+b\to \tau^+\nu b$ canbe large in extensions of the Standard Model. We use results from a search fortop quark pair production by the Collider Detector at Fermilab (CDF) in thee$\tau + \ebar_T$+jets and $\mu\tau +\ebar_T$+jets signatures to set an upperlimit on the branching ratio of ${\cal B} (t \to H^{+} b)$ in 106 pb$^{-1}$ ofdata. The upper limit is in the range 0.5 to 0.6 at 95% C.L. for $H^{+}$ massesin the range 60 to 160 GeV, assuming the branching ratio for {$H^+\to \tau\nu$} is 100% . The $\tau$ lepton is detected through its 1-prong and 3-pronghadronic decays.Comment: Submitted to Phys. Rev. D, 21 pages, 7 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Search for the charged Higgs boson in the decays of top quark pairs in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>e</mml:mi><mml:mi>τ</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>μ</mml:mi><mml:mi>τ</mml:mi></mml:math>channels at<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msqrt><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msqrt><mml:mo>=</mml:mo><mml:mn>1.8</…

Search for the charged Higgs boson in the decays of top quark pairs in theeτandμτchannels ats=1.8