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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

Werner Vogelsang

RBRC & Nuclear Theory, BNL

EIC workshop 03/15/2004


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


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

U. Stösslein


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

GRSV


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

GRSV


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

• what does DGLAP evolution tell us ?

• at (and to lowest order):

• Mellin moments:


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

• 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

*


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

Blümlein,Riemersma,Vogt


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

GRSV


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

Deshpande et al.


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

L=2/fb

Stratmann


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

• 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


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

Blümlein,Vogt


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

GRSV


Werner vogelsang rbrc nuclear theory bnl eic workshop 03 15 2004

GRSV max. ∆g


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