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Transparencies pdf - Desy

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(P gg ⊗ g) / g<br />

1.4<br />

1.2<br />

1<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

0<br />

-0.2<br />

-0.4<br />

10 -8<br />

gluon = CTEQ6M<br />

Q = 2.0 GeV<br />

10 -7<br />

10 -6<br />

10 -5<br />

10 -4<br />

x<br />

10 -3<br />

LO DGLAP<br />

NLO DGLAP<br />

NNLO DGLAP<br />

NLL B (n f =4) Scaling violation for gluons at<br />

small x<br />

- from G.Salam study<br />

10 -2<br />

Current studies of the perturbative QCD lead to expectation that the growth of the parton densities<br />

predicted by LO DGLAP is weakly modified when NLO is included and the attempt to sum various extra<br />

terms does not modify result noticeably down to smallest x relevant for GZK.<br />

Can we trust pQCD prediction that the growth persist down to very small x?<br />

Depends on transverse size of the system. As we argued above - in<br />

practical situation answer is NO !!! already in the region where log x<br />

effects are moderate and could be accounted for by NLO<br />

33<br />

10 -1<br />

10 0<br />

33

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