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

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σ(W - )B W [nb]<br />

4.4<br />

4.3<br />

4.2<br />

4.1<br />

4<br />

3.9<br />

LHC 7 TeV<br />

1.414 GeV 1.5 GeV 1.6 GeV 1.7 GeV<br />

σ(Z 0 )B Z [nb]<br />

1<br />

0.99<br />

0.98<br />

0.97<br />

0.96<br />

0.95<br />

0.94<br />

0.93<br />

0.92<br />

0.91<br />

0.9<br />

LHC 7 TeV<br />

1.414 GeV 1.5 GeV 1.6 GeV 1.7 GeV<br />

Figure 5: The total NLO W − <strong>and</strong> Z 0 cross sections computed with the NNPDF2.1 set with varying charm<br />

quark mass mc.<br />

it is clear that also at NNLO the <strong>de</strong>tails of the treatment of NMC data are irrelevant for the<br />

predictions of Higgs production cross sections at hadron colli<strong>de</strong>rs.<br />

2 4 2<br />

Ratio to NNPDF2.1 NNLO, Q = 10 GeV<br />

1.25<br />

) )<br />

2<br />

R( xg (x, Q<br />

1.2<br />

1.15<br />

1.1<br />

1.05<br />

1<br />

0.95<br />

0.9<br />

0.85<br />

-4<br />

10<br />

NNPDF2.1 NNLO with NMC xsec<br />

NNPDF2.1 NNLO with NMC SFs<br />

-3<br />

10<br />

-2<br />

10<br />

x<br />

-1<br />

10<br />

NNLO gg->H production, Ratio to NNPDF2.1 (TMP)<br />

( H -> gg ) )<br />

σ<br />

R (<br />

1.15<br />

1.1<br />

1.05<br />

1<br />

0.95<br />

NNPDF2.1 NNLO(TMP) NMC-XSEC<br />

NNPDF2.1 NNLO(TMP) NMC SF<br />

0.9<br />

100 120 140 160 180 200 220 240 260 280 300 320<br />

MH<br />

[ GeV ]<br />

Figure 6: Left plot: Comparison of the ratio of the NNPDF2.1 NNLO gluon for the fits with the different<br />

treatment of NMC data. Right plot: The total NNLO Higgs cross section in gluon fusion from the preliminary<br />

NNLO NNPDF2.1 sets, comparing the fits in which NMC data is treated at the level of structure functions <strong>and</strong><br />

at the level of reduced cross sections.<br />

Therefore we have shown that the treatment of NMC data does not induce appreciable<br />

modifications for Higgs production at hadron colli<strong>de</strong>rs. Note however that in Ref. 6 the strong<br />

coupling was also fitted, <strong>and</strong> its best fit value was found to strongly <strong>de</strong>pend on the treatment of<br />

NMC data. Our results show that if αs is kept fixed, the impact of the treatment of NMC data<br />

is negligible.<br />

References<br />

1. NNPDF Collaboration, R. D. Ball, et al., Nucl. Phys. B 849, 296-363 (<strong>2011</strong>),<br />

arXiv:1101.1300<br />

2. NNPDF Collaboration, R. D. Ball, et al., Nucl. Phys. B 838, 136 (2010), arXiv:1002.4407.<br />

3. S. Forte et al., Nucl. Phys. B 834, 116 (2010), arXiv:1001.2312.<br />

4. H. L. Lai et al., Phys. Rev. D 82, 074024 (2010), arXiv:1007.2241.<br />

5. A. D. Martin, W. J. Stirling, R. S. Thorne <strong>and</strong> G. Watt, Eur. Phys. J. C 63 (2009) 189,<br />

arXiv:0901.0002.<br />

6. S. Alekhin, J. Blumlein <strong>and</strong> S. Moch, arXiv:1101.5261.<br />

7. NNPDF Collaboration, R. D. Ball, et al., arXiv:1102.3182.

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