HSQCD 2004May 19, 2004

BFKL and High Energy

PhenomenologyVictor T. Kim

Gatchina

St. Petersburg Nuclear Physics Institute

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Outline

• BFKL: introduction• BFKL: jet production• BFKL: gamma-gamma collisions• summary

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

LO BFKL: Fadin, Kuraev & Lipatov (75-77) Balitsky & Lipatov (78) Summing leading Log(s) in all orders: σ ~ (s/s0)ω

Bottom lines: ω ≈ 0.5 too big! no running αS

s0 ?

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

NLO BFKL with BLM resummation

Brodsky, Fadin, VK, Lipatov & Pivovarov (98-99)

Summing β0-terms into the scale of running coupling

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Mueller-Navelet factorization

Mueller & Navelet (87)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

kT-factorization scheme

Catani, Hauptmann & Marchesini; Ciafaloni (90-94)Levin, Ryskin, Shabelsky & Shuvaev (91)Collins & K. Ellis (91)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

BFKL-factorization

VK & Pivovarov (96-98)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

BFKL: dijet production

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Dijet azymuthal decorrelation

VK & Pivovarov (96,98)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Dijet K-factor

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Jet xT-scaling ratio

VK & Pivovarov (98)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Gamma-gamma collisions

Gribov,Flolov & Lipatov (70)

LO BFKL Balitsky & Lipatov (78)Brodsky,Hautmann & Soper (97)Bartels et al (98)De Roeck et al (2001)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Gamma-gamma collisions

LO BFKL:Balitsky & Lipatov (78)Brodsky,Hautmann & Soper (96-97)Bartels et al (97)De Roeck et al (99)

NLO BFKL: VK, Lipatov & Pivovarov (99)Brodsky, Fadin, VK, Lipatov & Pivovarov (01-02)Kwiecinski & Motyka (01)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Brodsky, Fadin, VK, Lipatov & Pivovarov (01-02)

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Linear colliders

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Gamma-gamma to heavy quarks

LO BFKLBalitsky & Lipatov (78)Kwiecinski & Motyka (99)Bartels, Ewerz et al (99)Ginzburg (01)

NLO BFKLVK & Lipatov

few nb

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

Summary

• NLO BFKL becomes noticeable in gamma-gamma at high energies • Jet production ?• Heavy quarks ?• Monte Carlo generators needed • BFKL factorization ? • Unitarity corrections ?

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute

HSQCD 2004May 19, 2004

Victor T. KimSt.Petersburg Nuclear Physics Instiutute