On RR couplings, singularity structures and all order α′ contact interactions to BPS string amplitudes

We evaluate five point world-sheet string theory amplitudes of one transverse scalar field, two world volume gauge fields (and two transverse scalars, a gauge field) in the presence of a closed string Ramond-Ramond vertex operator in its symmetric picture. We carry out all the entire S-matrix elements of five point mixed RR-scalars/gauge fields <C−1ϕ0A−1A0>, <C−1ϕ−1A0A0>, <C−1A0ϕ−1ϕ0> and <C−1A−1ϕ0ϕ0> in detail and start comparing all order α′ contact interactions and singularities in both transverse and world volume directions. We explore the presence of various new couplings in string theory effective actions and find out their all order α′ higher derivative corrections in both type IIA and IIB. Ultimately we make various remarks for the singularities and contact terms whose RR momenta are embedded in transverse directions. α′ corrections to some of Myers terms are also addressed.