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In the CP-violating Minimal Supersymmetric Standard Model (MSSM), for certainvalues of the CP-violating phases associated to the universal trilinearcouplings $(A_t, A_b)$ and the gluino mass $(M_{\tilde g})$, e.g.,$\Phi_{\rm{CP}} = 60^\circ$ or $90^\circ$, for $M_{H^+} \lsim 140 $ GeV and$\tan \beta \sim 2-5 $, the lightest Higgs boson mass ($M_{H_1}$) is $\lsim 50$ GeV. This mass interval is still allowed from standard LEP Higgs searchesbecause of a strongly suppressed $H_1ZZ$ coupling. However, in the same regionof parameter space in which these two conditions occur, the $H_1 H^\mp W^\pm $coupling is enhanced because the two mentioned sets of couplings satisfy a sumrule. In this paper we probe such a light Higgs scenario at the Large HadronCollider (LHC) by studying $H^\pm H_1$ associate production, leading to a $4b +\ell^\pm + \mET $ signal. We show that the latter is readily accessible at theCERN hadron collider, upon the application of suitable selection cuts againstthe Standard Model (SM) backgrounds. Our parton level Monte Carlo (MC) analysisyields $\sim 15-45 $ signal events, completely free of SM background, for${\cal L} = 10-30 {\rm fb}^{-1}$ of accumulated luminosity, after taking intoaccount the overall efficiency for tagging four $b$-jets.Comment: 14 pages, 5 postscript figures. One sentence added, typo correcte

Probing the light neutral Higgs boson scenario of the CP-violating MSSM Higgs sector at the LHC