Usual initial and final state effects in quantum chromodynamics

Unlike soft initial degenerate states, the KLN theorem suggests that there will be a singular, if not a finite, contribution to the nonsinglet structure function arising from initial collinear and soft degenerate states. The notion of double cut diagrams is extended so as to evaluate the contribution from these states to the operator matrix elements and thereby are able to use the renormalization group equation in extracting the nonsinglet coefficient function. This introduces in a practical context a degenerate state concept for the basic partons. In two preprints, the theta theta parity test is generalized to any specific X (YIELDS) V1V2 decay mode where the vector mesons V1 and V2 each decays into two spin zero bosons. From a strong V1V2 mode with a V1 in equilibrium V2 exchange property, the parity eta of X can always be determined. For weak VV or V anti V channels, the CP eigenvalue of the decaying X can be determined which means that a Higgs boson can be simply distinguished from a technipion.