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WGA Theory

WGA Theory. Low x BFKL and DGLAP BK Structure functions Diffraction. BFKL and DGLAP. L.N. Lipatov presented the talk “ DGLAP and BFKL equations in supersymmetric gauge theories ”.

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WGA Theory

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  1. WGA Theory • Low x BFKL and DGLAP BK • Structure functions • Diffraction V. Fadin Institute of Nuclear Physics, Novosibirsk

  2. BFKL and DGLAP L.N. Lipatov presented the talk “DGLAP and BFKL equations in supersymmetricgauge theories”. Next-to-leading corrections to the BFKL kernel and to anomalous dimension matrix in N=4 SUSY are calculated. The DGLAP equation The BFKL equation for the gluon distributions at small x V. Fadin Institute of Nuclear Physics, Novosibirsk

  3. The eigenvalues of the kernel V. Fadin Institute of Nuclear Physics, Novosibirsk

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  9. Dmitry Colfefrai Gluon Evolution at small-x:Extending the PT Domain of QCD ’ ’ ’ ’ ’ ’

  10. h’ hG’ Gh’ h Scale change: ; V. Fadin Institute of Nuclear Physics, Novosibirsk

  11. Resummed splitting function Gluon density Evolution eqn. is independent of : important check of RG factorization High-energy exponent wc(as) V. Fadin Institute of Nuclear Physics, Novosibirsk

  12. Conclusions • 2 main problems of high-energy perturbative QCD: • occurrence of large leading log s contributions and of subleading ones of comparable size and opposite sign • increasing importance of wee partons, whence a strong coupling non-perturbative Pomeron regime • RGI approach tames both problems: • through an understanding and consequent resummation of the most important subleading contributions • Subleading corrections and running coupling effects lower high-energy exponents and diffusion/tunneling into NP region • We expect a large domain of applicability of PT QCD • We have the tools to make reliable physical predictions: g *-g *, forward jets, Mueller-Navelet jets, … V. Fadin Institute of Nuclear Physics, Novosibirsk

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  16. The talk Improved Small-x Evolution with Running Coupling Effects was presented by Guido Altarelli . The talk was devoted to construction of a relatively simple, closed form, improved anomalous dimensions gI(a,N) V. Fadin Institute of Nuclear Physics, Novosibirsk

  17. It was shown that BFKL with running coupling is fully compatible with RGE , factorisation and duality. In the Airy approximation the splitting functions are completely free of unphysical oscillations. An improved anomalous dimension that reduces to the perturbative result at large x and incorporates BFKL with running coupling effects at small x was constructed. The running coupling effects in the LO softens the asymptotic small x behaviour as indicated by the data. V. Fadin Institute of Nuclear Physics, Novosibirsk

  18. Mellin transf. (MT) Inverse MT (x>0) V. Fadin Institute of Nuclear Physics, Novosibirsk

  19. The minimum value of ac0 at M=1/2 is the Lipatov intercept: l0=ac0(1/2)=ac0= a4nc/plog2~2.65a~0.5 It corresponds to (for x->0): Too hard not supported by data xP(x)~x-l0 c as=0.2 ac0 ac0+a2c1 M V. Fadin Institute of Nuclear Physics, Novosibirsk

  20. The effect of running on c in the Airy model Is a softer small-x behaviour xP ~ x-N0 xP ~ x-l V. Fadin Institute of Nuclear Physics, Novosibirsk

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