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2011 QCD and High Energy Interactions - Rencontres de Moriond ...

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HERAPDF 1.0(αS = 0.1176)<br />

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our calculation<br />

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Figure 1: Left: The gg → H cross section as a function of MH when the four NNLO PDF sets, MSTW, ABKM,<br />

JR <strong>and</strong> HERAPDF are used. Right: σ NNLO<br />

gg→H at the Tevatron using the MSTW PDFs, with the uncertainty b<strong>and</strong><br />

when all theoretical uncertainties are ad<strong>de</strong>d as in Ref. 1 ; it is compared the uncertainties quoted by CDF <strong>and</strong> D0 4<br />

as well as the one when the LHC procedure 8 is adopted. In the inserts show are the relative <strong>de</strong>viations.<br />

2.2 Emulation of the CDF limit calculation<br />

i) The PDF effect is not inclu<strong>de</strong>d as being a new source of systematic uncertainty but,<br />

rather, as a different choice for the PDF set from the CDF one 5 , <strong>and</strong> which affects only the<br />

cross section normalisation. Thus, our goal was not to re-estimate the CDF sensitivity but the<br />

relative variation of the sensitivity when the cross section is changed by a different PDF choice.<br />

ii) Our results are robust regarding the systematic uncertainties <strong>and</strong> their correlations, since<br />

we are using the multivariate outputs of the CDF analysis that inclu<strong>de</strong> them.<br />

iii) Our main results for the nee<strong>de</strong>d luminosity to recover the present sensitivity agree with<br />

estimates obtained in a simple <strong>and</strong> heuristic way; we believe that this agreement provi<strong>de</strong>s a<br />

nice check of our analysis. Note however, that we based our analysis on a 40% reduction of the<br />

gg → H cross section when using HERA PDFs. The correct figure with a reduction of only 30%<br />

as obtained with ABKM is shown in Fig. 2; this does not change our general conclusions b .<br />

iv) It is highly <strong>de</strong>sirable that the CDF <strong>and</strong> D0 collaborations provi<strong>de</strong> us with a fully cutbased<br />

analysis which will be easier to follow <strong>and</strong> reinterpret; we will be more than happy if they<br />

could simply redo our analysis in Ref. 2 , assume a different normalisation of the production cross<br />

section <strong>and</strong> reinterpret the Higgs mass limit.<br />

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nee<strong>de</strong>d L to recover sensitivity<br />

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− 30%<br />

− 20%<br />

ratio to current CDF median 95%CL/σSM<br />

Figure 2: The luminosity nee<strong>de</strong>d by CDF to recover the current sensitivity (with 5.9 fb −1 data) when the<br />

gg →H →ℓℓνν signal rate is lowered by 20 <strong>and</strong> 30% <strong>and</strong> with a ±10% change in the p¯p→WW background.<br />

b This is particularly true as the updated results given by the CDF/D0 experiments at this conferences with<br />

7.1 fb −1 data for CDF, lead to an exclusion limit that is slightly worse than the one quoted in Ref. 2 <strong>and</strong> only<br />

the range MH = 158–173 GeV is exclu<strong>de</strong>d. Thus, even for a 30% reduction of the production cross section only<br />

instead of the 40% used earlier, one still needs ≈ 13 fb −1 data to recover the sensitivity obtained with 7.1 fb −1 .<br />

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