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

  2. Why interest in small behavior of ? • by its own right: evolution, resummation • first moments GRSV: >10% of from

  3. U. Stösslein

  4. GRSV

  5. GRSV

  6. • what does DGLAP evolution tell us ? • at (and to lowest order): • Mellin moments:

  7. • 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 *

  8. Blümlein,Riemersma,Vogt

  9. GRSV

  10. Deshpande et al.

  11. L=2/fb Stratmann

  12. • 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

  13. Blümlein,Vogt

  14. GRSV

  15. GRSV max. ∆g

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