Effective Field Theories for the LHC

Abstract

In this thesis I study applications of effective field theories to understand aspects of QCD jets and their substructure at the Large Hadron Collider. In particular, I introduce an observable, $D_2$, which can be used for distinguishing boosted $W/Z/H$ bosons from the QCD background using information about the radiation pattern within the jet, and perform a precision calculation of this observable. To simplify calculations in the soft collinear effective theory, I also develop a helicity operator basis, which facilitates matching calculations to fixed order computations performed using spinor-helicity techniques, and demonstrate its utility by computing an observable relevant for studying the properties of the newly discovered Higgs boson.

arXiv commentPh.D. thesis, MIT, May 2016, 501 pages, 180 figures

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• Resummation of heavy jet mass and comparison to LEP data
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• Resummation for W and Z production at large pT
• Factorization for generic jet production
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• Partially (in)visible Higgs decays at the LHC
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