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CERN-THESIS-2012-153 26/07/2012 - CERN Document Server

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Process SM QS 2HDM FC 2HDM MSSM /R SUSY TC2 RS<br />

t → uγ 3.7 × 10 −16 7.5 × 10 −9 — — 2 × 10 −6 1 × 10 −6 — ∼ 10 −11<br />

t → uZ 8 × 10 −17 1.1 × 10 −4 — — 2 × 10 −6 3 × 10 −5 — ∼ 10 −9<br />

t → ug 3.7 × 10 −14 1.5 × 10 −7 — — 8 × 10 −5 2 × 10 −4 — ∼ 10 −11<br />

t → cγ 4.6 × 10 −14 7.5 × 10 −9 ∼ 10 −6 ∼ 10 −9 2 × 10 −6 1 × 10 −6 ∼ 10 −6 ∼ 10 −9<br />

t → cZ 1 × 10 −14 1.1 × 10 −4 ∼ 10 −7 ∼ 10 −10 2 × 10 −6 3 × 10 −5 ∼ 10 −4 ∼ 10 −5<br />

t → cg 4.6 × 10 −12 1.5 × 10 −7 ∼ 10 −4 ∼ 10 −8 8 × 10 −5 2 × 10 −4 ∼ 10 −4 ∼ 10 −9<br />

Table 2.3: The theoretical values for the branching fractions of FCNC top quark decays predicted by the<br />

SM and exotic extensions (see text for references).<br />

also enhanced due to the partial breaking of the 3 × 3 CKM unitarity and the presence of extra Feynman<br />

diagrams at the one-loop level. In 2HDM models, where FCNC interactions with scalars are also present<br />

at the tree-level, the prediction for the FCNC decays is also altered. The new scalar fields give radiative<br />

contributions to the Ztq, γtq and gtq vertices. The resulting BR can be up to BR(t → cZ) ∼ 10 −7 with<br />

smaller values for decays to an up quark. The BR for the γq and gq channels is shown in Table 2.3. If<br />

a discrete symmetry is imposed, the FCNC interactions can be forbidden at tree-level. In this case (FC<br />

2HDM) the rate for top FCNC decays are still increased significantly with respect to the SM. SUSY could<br />

affect the top quark decays in different ways. In the MSSM with universal soft breaking, by relaxing the<br />

universality with a large flavor mixing between the 2 nd and 3 rd family, the BRs can reach values such as<br />

those presented in Table 2.3. The introduction of baryon number violating couplings in /R SUSY could give<br />

even larger enhancements, on the order of ∼ 10 −4 for the t → Zc decay [43,44].<br />

Experimental searches for FCNC decays of the top quark<br />

The present experimental limits on the branching fractions of the FCNC top quark decay channels established<br />

by experiments at the LEP, HERA and Tevatron colliders are shown in Table 2.4. These decays can be studied<br />

directly by searching for final states with the corresponding decay particles. However the t → gq mode (q<br />

denotes either an up quark or charm quark), is almost impossible to separate from generic multijet processes,<br />

and a much better sensitivity is achieved in the search for anomalous single top-quark production [56].<br />

Previous to the LHC searches, the best experimental limit on the FCNC decay t → Zq, was held by the<br />

D0 Collaboration [4]. Using 4.1 fb −1 of √ s = 1.96 TeV collision data from the Tevatron, a search for FCNC<br />

was performed in t¯t events, where either one or both of the top quarks decay via t → Zq. Any other top<br />

quark not decaying via FCNC is assumed to decay via t → Wb. Only channels where the W- and Z-bosons<br />

decay leptonically are used. Figure 2.8(a) shows the reconstructed invariant mass distribution of the top<br />

19

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