#### Abstract

We investigate the impact of the fourth-generation quarks on production and decays of the charged Higgs boson at CERN Large Hadron Collider (LHC) with 14βTeV center of mass energy. The signal is the process , followed by and decays with subsequent and corresponding hermitic conjugates. It is shown that if βGeV, then considered process will provide unique opportunity to discover charged Higgs boson with mass range of 200 to 350βGeV at the LHC.

#### 1. Introduction

It is known that two-Higgs doublet model (2HDM), in general, and minimal supersymmetric extension of the standard model (MSSM), in particular, predict the existence of a charged scalar particle as well as two neutral scalar particles in addition to the standard model (SM) Higgs boson [1]. Experimental observations of these particles could be indirect indication of SUSY. Experiments at LEPII limit the mass of a charged Higgs boson from below as 79.2βGeV [2]. The Tevatron CDF excludes masses of a charged Higgs boson below 105 and 130βGeV for and , respectively, by searching decays [3]. Obviously, higher energy reach of the Large Hadron Collider (LHC) will give opportunity to search charged Higgs boson in wider mass region. The production of the charged Higgs boson at the LHC for three SM generation case is considered in a number of papers [4β9].

On the other hand, flavor democracy, which is quite natural in the SM framework, predicts the existence of the fourth-generation (see review [10] and references therein). The masses of the fourth-generation quarks and charged leptons are expected to be almost degenerate with preferable range of 300β500βGeV. Obviously, the fourth-generation quarks in this mass region will be observed at the first few years of the LHC data taking [11β16]. Meanwhile, data collected at Tevatron experiments set limits on and as 358βGeV and 372βGeV, respectively [17]. Naturally, as the Tevatron searches in -quark decays, the LHC may do the same in -quark decays.

In this paper, we investigate the impact of the fourth-generation quarks on production and decays of the charged Higgs boson of 2HDM at the LHC with 14βTeV center of mass energy. In Section 2, the lagrangian describing decays of the charged Higgs is presented and the branching ratios of decays of the fourth SM generation up quark and charged Higgs boson are evaluated. The production of the charged Higgs boson at the LHC via gluon-gluon fusion process , followed by and decays with subsequent , as well as the SM background, is studied in Section 3. The statistical significance of the charged Higgs boson signal at the LHC is estimated assuming three -quark jets to be tagged. Finally, concluding remarks are made in Section 4.

#### 2. Charged Higgs Boson Decays

Interactions involved charged Higgs boson can be described as below [6]: where denotes the generation index and is defined as ratio of the two Higgs doublets vacuum expectation values. Applying the flavor democracy to three-generation MSSM results in [10], whereas is preferable in four-generation case. The Cabibbo-Kobayashi-Maskawa (CKM) matrix elements are not shown in (2.1). In numerical calculations, we use CKM mixings given in [18].

In order to compute decay widths of the charged Higgs boson, above lagrangian has been implemented into the CompHEP [19]. The decay branching ratios of the fourth-generation up quark with mass of 400βGeV (used at the rest of the paper), which is the mid-point of preferable range of mass mentioned at the Section 1, are plotted in Figure 1(a) for βGeV. These plots show that the dominant decay channels of are and at low values; and decays are dominant at region.

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Obtained results for branching ratios of decays of the charged Higgs boson into SM fermions are given in Figure 1(b) as a function of . The charged Higgs boson dominantly decays to for almost all values. Furthermore, Figures 2(a) and 2(b) present the branching ratios of the charged Higgs boson decays as a function of its mass for two different values of , 1 and 40, respectively.

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#### 3. Charged Higgs Boson Production at the LHC

We study the (and its hermitic conjugate) production process at the LHC, followed by leptonic decay of one and hadronic decay of the other. The calculated production cross-sections with βGeV are plotted in Figure 3 for charged Higgs boson mass values of 200 and 300βGeV. CTEQ6L1 parton distribution functions [20] are used in numerical calculations. The SM background (6 jet + 1βlepton + missing energy) cross-sections are computed using MadGraph package [21]. This background is potentially much larger than the signal. However, in order to extract the charged Higgs boson signal and to suppress the SM background, we impose some kinematic cuts. In addition, we assume that three -quark jets are tagged.

We choose the following set of selection cuts: βGeV cut for at least one of -jets and βGeV for the rest of the jets and the lepton , where denotes pseudorapidity, a minimum separation of ( is the azimuthal angle) between the lepton and the jets as well as each pair of jets. The signal and background cross-sections are given in Figure 4 as a function of the reconstructed invariant mass. It is drawn for sample values of the charged Higgs boson masses of 200, 250, 300, and 350βGeV for . Here, we have included a -tagging efficiency of . The signal and SM background cross-sections are shown separately in Figure 4(a), while their sum is presented in Figure 4(b). The signal peaks are clearly visible at all selected mass values. The similar plots for are presented in Figures 5(a) and 5(b).

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The number of eventsβin a window of 40βGeV around selected valuesβfor signal (), and SM background (), along with the statistical significance () for 100βfb^{β1} and 10 fb^{β1} of integrated luminosity is presented in Tables 1 and 2 for and , respectively. It is seen that the mass regions 200β350βGeV for and 200β300βGeV for are covered with more than even with low integrated luminosity of 10 fb^{β1}. To compare with three SM generation case, for example, we obtain the signal significance with 10βfb^{β1} for the four-family case at and βGeV, whereas is 6.2 with 100 fb^{β1} in three SM generation case as given in [7]. The signal significance discussed here assumes perfect detector. More realistic detector future such as the effect of the realistic jet-mass resolutions as well as the method of how to choose the best combination is discussed in [9].

#### 4. Conclusion

Our study shows that the existence of the fourth SM generation provides new channel for charged Higgs boson search at the LHC. If the fourth-generation quarks and charged Higgs boson have appropriate masses, then this channel will be a discovery mode. More detailed study including higher mass values, as well as further optimizations of cuts, detector features, and so forth, is ongoing.

#### Acknowledgments

R. ΓiftΓ§i would like to acknowledge for support from the Scientific and Technical Research Council (TUBITAK) BIDEB-2218 Grant. This work was also supported in part by the State Planning Organization (DPT) under Grant no. DPT-2006Kβ120470 and in part by the Turkish Atomic Energy Authority (TAEA) under Grant no. VII-B.04.DPT.1.05.