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We present an analysis with improved sensitivity to the light charged Higgs($m_{H^+} < m_t-m_b$) searches in the top quark decays $t \to b H^+ \to b(\tau^+\nu_\tau) + ~{\rm c.c.}$ in the $t\bar{t}$ and single $t/\bar{t}$production processes at the LHC. In the Minimal Supersymmetric Standard Model(MSSM), one anticipates the branching ratio ${\cal B} (H^+ \to\tau^+\nu_\tau)\simeq 1$ over almost the entire allowed $\tan \beta $ range.Noting that the $\tau^+$ arising from the decay $H^+ \to \tau^+\nu_\tau$ arepredominantly right-polarized, as opposed to the $\tau^+$ from the dominantbackground $W^+ \to \tau^+\nu_\tau$, which are left-polarized, a number of$H^+/W^+ \to \tau^+\nu_\tau$ discriminators have been proposed and studied inthe literature. We consider hadronic decays of the $\tau^\pm$, concentrating onthe dominant one-prong decay channel $\tau^\pm \to \rho^\pm \nu_\tau$. Theenergy and $p_T$ of the charged prongs normalised to the correspondingquantities of the $\rho^\pm$ are convenient variables which serve as $\tau^\pm$polariser. We use the distributions in these variables and several otherkinematic quantities to train a boosted decision tree (BDT). Using the BDTclassifier, and a variant of it called BDTD, which makes use of decorrelatedvariables, we have calculated the BDT(D)-response functions to estimate thesignal efficiency vs. the rejection of the background. We argue that this chainof analysis has a high sensitivity to light charged Higgs searches up to a massof 150 GeV in the decays $t \to b H^+$ (and charge conjugate) at the LHC. Forthe case of single top production, we also study the transverse mass of thesystem determined using Lagrange multipliers.

european physical journal. c, particles and fields

Improved sensitivity to charged Higgs searches in Top quark decays $t  \to bH^+ \to b (\tau^+\nu_\tau)$ at the LHC using $\tau$ polarisation and  multivariate tecnniques