Effective Field Theory Techniques for Resummation in Jet Physics
In this thesis, we present several new techniques for the resummation of observables relevant to jet physics at the LHC using effective field theory techniques. Specifically, we first derive the factorization theorem and calculate the generic soft function for N-jet threshold resummation. This allows for dynamic threshold resummation at hadron colliders, where parton distribution functions may enhance threshold effects. Then we develop a new metric to gauge the importance of threshold resummation in a process-independent manner. This also allows us to determine the relevant scales for threshold resummation without the introduction of an arbitrary procedure. Next, we present a new subtraction technique for the calculation of soft functions with complex phase space boundaries. This technique is especially useful in calculations involving eta-phi jet algorithms, which are common at hadron colliders. Finally, we discuss a new regularization scheme for real emission diagrams and present an example of said scheme.