Resolution of Scheme-Dependences of the Photon Structure Function: Solution to the Problem of Large Corrections in the Large-n Limit

著者

H. NAKKAGAWA
(Nakagawa)

教養部

A. NIEGAWA
(niegawa)

教養部

版

publisher

出版地

奈良

出版者

奈良大学

上位タイトル

奈良大学紀要
(Memoirs of the Nara University).
Vol.13号,
(1985.
12)
,p.28-
39

識別番号

ISSN

03892204

抄録

Optimization analysis of the photon structure function is worked out for a simplified two-component model that keeps the essential behavior of the complete structure function and becomes exact in the large-η limit. Our findings are as follows. Thorough resolution of scheme-dependences can be achieved satisfactorily if the renormalization and the factorination scheme dependences are investigated simultaneously. The two-scale formalism of optimized perturbation theory has dealt with the large second order corrections as η→∞ so that at least part of the leading large-η terms are absorbed into the coupling constant, and that the optimized perturbation expansion may show an improved convergence behavior, thus giving a solution to the problem of large corrections in the large-η limit. The above solution agrees at least up to the leading large-η terms with the results obtained through the kinematical analyses based on the resummation of singular terms. The optimal scheme, in which we can get the above beautiful consequences, has been shown exactly to lie within a class of schemes where two-loop hadronic anomalous dimension vanishes.