Higgs self-coupling measurement at the International Linear Collider

The Higgs sector of particle physics is still largely uncovered, whereestablishing the Higgs mechanism is central to advance the field. The Higgsself-coupling is the key ingredient missing and an important puzzle piece forpotentially uncovering new physics beyond the standard model. With the energyreach and precision reach of linear $e^+e^-$ colliders, the Higgs self-couplingcan be measured directly and precisely enough that certain BSM scenarios can beevaluated. A new analysis of the capability to measure the Higgs self-couplingat the International Linear Collider (ILC) is ongoing and have identifiedaspects concerning the reconstruction tools which are expected to improveprecision reach and are presented. This ongoing analysis intends to update thestate-of-the-art projections for measuring the Higgs self-coupling at ILC whichwas previously evaluated at a centre-of-mass energy of 500 GeV. Additionally,the ongoing analysis intends to evaluate the choice of centre-of-mass energyand how it influences the reachable precision, as well as to consider how BSMeffects might influence the reachable precision