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We perform a comprehensive analysis of medium modifications on ungroomed jetangularities, $\tau_a$, within the framework of Soft-Collinear Effective Theorywith Glauber gluons (SCET$_{\rm G}$). Angularities are a one-parameter familyof jet substructure observables with angularity exponent $a<2$ for infraredsafety. Variation of the angularity exponent allows to modify the relativeweighting of the collinear-to-soft radiations in the jet. In this article, wefocus on angularity exponents $a<1$ and provide detailed results for $a=-1,0$,and $0.5$. Within SCET$_{\rm G}$, the interaction between jet and mediumconstituents is comprehended by off-shell Glauber gluons generated from thecolor gauge fields in the medium. While the medium modifications areincorporated in the jet function via the use of in-medium splitting functions,the soft function remains unmodified for $a<1$. For all values of $a$, we findthat in the medium, the distributions are narrower and have a steeper fallcompared to the vacuum ones. This redistribution of the ungroomed angularityspectrum is more apparent for a jet with a larger cone size. We also presentresults for the medium sensitivity towards $p_T$ of the jet and for a jetinitiated in a less central event ($10-30\%$ centrality). Finally, we providethe ratios of nucleus-nucleus and proton-proton differential angularitydistributions for different angularity exponents and for two values of the jetradius parameter.

Medium modifications to jet angularities using SCET with Glauber gluons