Virtual Compton Scattering at High Energy
Abstract
In this dissertation we develop a theoretical framework in the context of perturbative QuantumChromoDynamics (pQCD) for studying nonforward scattering processes. In particular, we investigate a nonforward unequal mass virtual Compton scattering amplitude by performing the general operator product expansion (OPE) and the formal renormalization group (RG) analysis. We discuss the general tensorial decomposition of the amplitude to obtain the invariant amplitudes in the nonforward kinematic region. We study the OPE to identify the relevant operators and their reduced matrix elements, as well as the corresponding Wilson coefficients. We find that the OPE now should be done in double moments with new moment variables. There are in the expansion new sets of leading twist operators which have overall derivatives. They mix under renormalization in a welldefined way. We compute the evolution kernels from which the anomalous dimensions for these operators can be extracted. We also obtain explicitly the lowest order Wilson coefficients. In the high energy limit we find the explicit form of the dominantly contributing anomalous dimensions. We are then able to solve the resulting renormalization group equations (RGE) and give a prediction of the high energy behavior of the invariant amplitudes. We find that it is the same as is indicated by the conventional double leading logarithmic analysis.
 Publication:

Ph.D. Thesis
 Pub Date:
 December 1999
 arXiv:
 arXiv:hepph/9912518
 Bibcode:
 1999PhDT.......308C
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 PhD thesis. 174 pages, 22 figures. Latex