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Study of polarization of heavy particles is an important branch of researchin today's collider studies. The massive $W$ boson has two types ofpolarization states, which usually are studied via the angular distribution ofits decay products. We have studied polarization of hadronic and boosted $W$boson using jet substructure technique at 14 TeV LHC. Two different methods,viz. N-subjettiness and Soft Drop, were used to find the subjets, which areapproximately considered to be the two hadronic decay products of $W$, insideboosted $W$ jets. These subjets were then used to find the distribution of$p_\theta$ and $z_j$ to prepare the templates of longitudinally andtransversely polarized $W$. We then used these templates to find the fractionsof different $W$ polarization in a mixed sample to a relatively good accuracy.

Jet Substructure and Multivariate Analysis Aid in Polarization Study of Boosted, Hadronic $W$ Fatjet at the LHC