ar X iv : h ep - p h / 00 06 14 2 v 1 1 3 Ju n 20 00 NLO Exclusive Evolution Kernels

We outline a formalism used for a construction of two-loop flavor singlet exclusive evolution kernels in the MS scheme. The approach is based on the known pattern of conformal symmetry breaking in MS as well as constraints arising from the superconformal algebra of the N = 1 super Yang-Mills theory. Talk given at the 8th International Workshop on Deep Inelastic Scattering and QCD Liverpool, April 25-30, 2000 NLO Exclusive Evolution Kernels A. V. Belitsky, A. Freund, D. Müller C.N. Yang ITP, SUNY at Stony Brook NY 11794-3800, Stony Brook, USA INFN, Sezione di Firenze, Largo E. Fermi 2 50125, Firenze, Italy Institut für Theoretische Physik, Universität Regensburg D-93040 Regensburg, Germany We outline a formalism used for a construction of two-loop flavor singlet exclusive evolution kernels in the MS scheme. The approach is based on the known pattern of conformal symmetry breaking in MS as well as constraints arising from the superconformal algebra of the N = 1 super Yang-Mills theory. 1 Q evolution of SPD Exclusive processes provide an indispensable information for a construction of a unique picture of hadron wave functions, Ψ . Its lowest Fock components (integrated over different transverse momentum configurations of partons) go under the name of distribution amplitudes, φ(x). Being a fundamental characteristic, Ψ defines all other inclusive and exclusive observables. A product of a wave function and a complex conjugate with fixed transverse momentum φ (x, η,∆⊥) ∼ ∫ dk⊥Ψ ∗ ( x+η 2 , k⊥ + ∆⊥ 2 ) Ψ ( x−η 2 , k⊥ − ∆⊥ 2 )