In many models with extended Higgs sectors, e.g. Two Higgs Doublet Model, Next-to-Minimal
Supersymmetric Standard Model and Randall Sundrum model, there exists a light scalar $S^{0}$, lighter
than the Standard Model (SM) like Higgs, and the coupling of $S^{0}ZZ$ can be very small, as expected
from the likeness of the 125 GeV Higgs boson measured at the LHC to the SM Higgs boson.
Such a light scalar with suppressed couplings to the Z boson would have escaped detection at
LEP due to its limited luminosity. With a factor of 1000 higher luminosity and polarized beams,
the International Linear Collider (ILC) is expected to have substantial discovery potential for such
states. Furthermore, searches for additional scalars at LEP and LHC are usually dependent on the
model details, such as decay channels. Thus, it is necessary to have a more general analysis with
model-independent assumptions.

In this work, we perform a search for a light higgs boson produced in association with Z boson at
the ILC with a center-of-mass energy of 250 GeV, using the full Geant4-based simulation of the
ILD detector concept. In order to be as model-independent as possible, the analysis is performed
using the recoil technique, in particular with the Z boson decaying into a pair of muons. As a
preliminary result, exclusion cross-section limits for different higgs masses between 10 and 120
GeV are given in terms of a scale factor k with respect to the Standard Model Higgs-strahlung
process cross section.