Matching of gauge invariant dimension-six operators for b → s and b → c transitions

New physics realized above the electroweak scale can be encoded in a model independent way in the wilson coefficients of higher dimensional operators which are in-variant under the standard model gauge group. in this article, we study the matching of the su(3) c × su(2) l × u(1) y gauge invariant dimension-six operators on the standard b physics hamiltonian relevant for b → s and b → c transitions. the matching is performed at the electroweak scale (after spontaneous symmetry breaking) by integrating out the top quark, w , z and the higgs particle. we first carry out the matching of the dimension-six operators that give a contribution at tree level to the low energy hamiltonian. in a second step, we identify those gauge invariant operators that do not enter b → s transitions already at tree level, but can give relevant one-loop matching effects.