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Werner Vogelsang RBRC & Nuclear Theory, BNL EIC workshop 03/15/2004 PowerPoint PPT Presentation


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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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Werner Vogelsang RBRC & Nuclear Theory, BNL EIC workshop 03/15/2004

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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


• 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

*

power-like input

*

preserved under evolution -- rise indep. of

in any case, size & sign of crucial for

and hence forBall, Forte, Ridolfi

*


Blümlein,Riemersma,Vogt


GRSV


Deshpande et al.


L=2/fb

Stratmann


• 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

Blümlein,Riemersma,Vogt


Blümlein,Vogt


GRSV


GRSV max. ∆g


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