Abstract We demonstrate that the recently proposed soft gluon factorization (SGF) is equivalent to nonrelativistic QCD (NRQCD) for heavy quarkonium production or decay, which means that, any given process, these two theories are either both valid violated. use methods arrive at this conclusion. In first method, we apply physical process . Our explicit calculation s...

Pk -factorization of a complete bipartite graph for k, an even integer was studied by H. Wang [1]. Further, Beiling Du [2] extended the work of H.Wang, and studied the P2k-factorization of complete bipartite multigraph. For odd value of k the work on factorization was done by a number of researchers[3,4,5]. P3-factorization of complete bipartite graph was studied by K.Ushio [3]. P5-factorizatio...