  The entire form of the amplitude of three SYM ( involving two transverse
scalar fields, a gauge field) and a potential $C_{n-1}$ Ramond-Ramond (RR) form
field is found out. We first derive $<V_{C^{-2}} V_{A^{0}} V_{\phi ^{0}}
V_{\phi ^{0}}>$ and then start constructing an infinite number of $t,s$ channel
bulk singularity structures by means of all order $\alpha'$ corrections to
pull-back of brane in an Effective Field Theory (EFT). Due to presence of the
complete form of S-matrix, several new contact interactions as well as new
couplings are explored. It is also shown that these couplings can be verified
at the level of EFT by either the combinations of Myers terms, pull-back,
Taylor expanded of scalar fields or the mixed combination of the couplings of
this paper as well as employed Bianchi identities. For the first time, we also
derive the algebraic and the complete form of the integrations for some
arbitrary combinations of Mandelstam variables and for the most general case
$\int d^2z |1-z|^{a} |z|^{b} (z - \bar{z})^{c} (z + \bar{z})^{3}$ on upper half
plane as well.
