Three Complete Analytical Calculation Of Feynman Diagrams

With the rapid progress of the high-energy physics experiments, it is urgent to find appropriate methods in order to provide the theoretical predictions with high accuracy. In past years, a lot of studies about the Feynman integrations for the one-loop Feynman diagrams have been done by many authors, and some relevant computer programs for the one loop calculations have been developed successfully. For the multi-points (N≥5) one-loop Feynman diagrams, one can firstly reduce them into a set of 4- and 3-points ones, and then find the final analytical results. In this paper, we made a systematic studies on the analytical evaluation on the 3-point Feynman diagrams, and found the complete analytical results.In the first two chapters, the author gave a brief review about the status and trends of analytical calculations of one-loop diagrams, and then made an introduction for the basic methods being used in the Feynman integration, such as the different kinds of Feynman parametrization, special functions, Hypergeomatric function and some other useful knowl-edge of mathematics.In chapter three and four, the author firstly made an analytical evaluation for a general 3-point Feynman diagrams with three propagators with different masses, and then calculated all six typical 3-point Feynman diagrams with different kinds of propagators, and finally found the complete analytical expressions for all considered cases.In the last chapter, a short summary and some remarks on future developments of Feynman integration in the forthcoming years are presented.