Using light hypernuclei to constrain hypernuclear interactions

Hypernuclei provide important information to constrain and test the hyperon-nucleon (YN) and three-baryon (YNN) interactions. In this contribution, we discuss our recent results obtained using chiral YN and YNN interactions for light hypernuclei. Based on the results for different orders of the chiral expansion, the theoretical uncertainty could be reliably determined, which in turn allows a quantitative estimate of the size of the possible YNN contributions. This estimate is then compared to first calculations that explicitly take the leading YNN interactions into account.