HSQCD 2004

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BFKL and High Energy Phenomenology

• Victor T. Kim

St. Petersburg Nuclear Physics Institute
Gatchina
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Outline

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

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• LO BFKL
• Fadin, Kuraev Lipatov (75-77)
• Balitsky Lipatov (78)
• Summing leading Log(s) in all orders
• s (s/s0)?
• Bottom lines
• ? 0.5 too big!
• no running aS
• s0 ?

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NLO BFKL with BLM resummation
Summing ß0-terms into the scale of running
coupling
Brodsky, Fadin, VK, Lipatov Pivovarov (98-99)
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Mueller-Navelet factorization
Mueller Navelet (87)
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kT-factorization scheme
Catani, Hauptmann Marchesini Ciafaloni
(90-94) Levin, Ryskin, Shabelsky Shuvaev
(91) Collins K. Ellis (91)
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BFKL-factorization
VK Pivovarov (96-98)
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BFKL dijet production
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Dijet azymuthal decorrelation
VK Pivovarov (96,98)
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Dijet K-factor
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Jet xT-scaling ratio
VK Pivovarov (98)
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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)
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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)

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Brodsky, Fadin, VK, Lipatov Pivovarov (01-02)
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Linear colliders
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Gamma-gamma to heavy quarks

• LO BFKL
• Balitsky Lipatov (78)
• Kwiecinski Motyka (99)
• Bartels, Ewerz et al (99)
• Ginzburg (01)
• NLO BFKL
• VK Lipatov
• few nb

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Summary

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

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