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We propose to utilize angularity distributions in Higgs boson decay to probelight quark Yukawa couplings at $e^+e^-$ colliders. Angularities $\tau_a$ are aclass of 2-jet event shapes with variable and tunable sensitivity to thedistribution of radiation in hadronic jets in the final state. Usingsoft-collinear effective theory (SCET), we present a prediction of angularitydistributions from Higgs decaying to quark and gluon states at $e^+e^-$colliders to ${\rm NNLL}+\mathcal{O}(\alpha_s)$ accuracy. Due to the differentcolor structures in quark and gluon jets, the angularity distributions from$H\to q\bar{q}$ and $H\to gg$ show different behaviors and can be used toconstrain the light quark Yukawa couplings. We show that the upper limit oflight quark Yukawa couplings could be probed to the level of $\sim15\%$ of thebottom quark Yukawa coupling in the Standard Model in a conservative analysiswindow far away from nonperturbative effects and other uncertainties; the limitcan be pushed to $\lesssim 7-9\%$ with better control of the nonperturbativeeffects especially on gluon angularity distributions and/or with multipleangularities.

Probing light quark Yukawa couplings through angularity distributions in Higgs boson decay