  In this work we present the study of $p\Lambda$ and $pp\Lambda$ scattering
processes using femtoscopic correlation functions. This observable has been
recently used to access the low-energy interaction of hadrons emitted in the
final state of high-energy collisions, delivering unprecedented precision
information of the interaction among strange hadrons. The formalism for
particle pairs is well established and it relates the measured correlation
functions with the scattering wave function and the emission source. In the
present work we analyze the $NN\Lambda$ scattering in free space and relate the
corresponding wave function to the $pp\Lambda$ correlation measurement
performed by the ALICE collaboration. The three-body problem is solved using
the hyperspherical adiabatic basis. Regarding the $p\Lambda$ and $pp\Lambda$
interactions, different models are used and their impact on the correlation
function is studied. The three body force considered in this work is anchored
to describe the binding energy of the hypertriton and to give a good
description of the two four-body hypernuclei. As a main result we have observed
a huge, low-energy peak in the $pp\Lambda$ correlation function, mainly
produced by the $J^\pi=1/2^+$ three-body state. The study of this peak from an
experimental as well as a theoretical point of view will provide important
constraints to the two- and three-body interactions.
