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In this paper we investigate the medium modifications of girth distributionsfor inclusive jets and $Z^0$ tagged jets with small radius ($R=0.2$) in Pb+Pbcollisions with $\sqrt{s}=2.76$ TeV at the LHC. The partonic spectrum in theinitial hard scattering of elementary collisions are obtained by a eventgenerator POWHEG+PYTHIA, which matches the next-to-leading (NLO) matrixelements with parton showering, and energy loss of faster parton traversing inhot/dense QCD medium is calculated by Monte Carlo simulation withinHigher-Twist formalism of jet quenching in heavy-ion collisions. We present themodel calculations of event normalized girth distributions for inclusive jetsin p+p and Pb+Pb collisions at $\sqrt{s}=2.76$ TeV, which give nicedescriptions of ALICE measurements. It is shown that the girth distributions ofinclusive jets in Pb+Pb are shifted to lower girth region relative to that inp+p. Thus the nuclear modification factor of girth distributions for inclusivejets is larger than unity at small girth region, while smaller than one atlarge girth region. This behavior results from more soft fragments inside a jetas well as the fraction alteration of gluon/quark initiated jets in heavy-ioncollisions. We further predict the girth distributions for $Z^0$ boson taggedjets in Pb+Pb collisions at $\sqrt{s}=2.76$ TeV, and demonstrate that themedium modification on girth distributions for $Z^0$ tagged jets is lesspronounced as compared to that for inclusive jets because the dominantcomponents of $Z^0$ tagged jets are quark-initiated jets.

Medium modifications of girth distributions for inclusive jets and $Z^0+{\rm jet}$ in relativistic heavy-ion collisions at the LHC