Werner Vogelsang RBRC & Nuclear Theory, BNL EIC workshop 03/15/2004. Why interest in small behavior of ? • by its own right: evolution, resummation • first moments GRSV : >10% of from. . U. Stösslein. . GRSV. GRSV.
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RBRC & Nuclear Theory, BNL
EIC workshop 03/15/2004
Why interest in small behavior of ?
• by its own right: evolution, resummation
• first moments
GRSV: >10% of from
• what does DGLAP evolution tell us ?
• at (and to lowest order):
• Mellin moments:
• can obtain solution:
• interplay between input and pert. evolution:
“flat” input : small-x behavior driven by evolution
preserved under evolution -- rise indep. of
in any case, size & sign of crucial for
and hence forBall, Forte, Ridolfi
Deshpande et al.
• higher orders in the splitting functions at small x:
• compare unpolarized case: (gq, gg spl. fcts.)
• all-order resummation in polarized case:
Kirschner,Lipatov; Bartels,Ermolaev,Ryskin;Kwiecinski,Ziaja; Ermolaev,Greco,Troyan; Maul
• small-x behavior of input remains relevant
• subleading terms probably remain crucial
GRSV max. ∆g