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Topics in Effective Field Theory

Abstract

This dissertation focuses on two aspects of high energy physics—quantum chromodynamics (QCD) and the effective field theory. On the QCD side, the double parton scattering has become an important background in new physics searches. Correlations in double parton distribution function including flavor, spin, momentum fractions, and transverse separation were studied under the framework of proton bag model. Pile-up contamination also affects new physics searches. One way to suppress this effect is to use observables that depend only on charged particles. A non-perturbative object, the track function, was defined to deal with calculations that only involved charged particles. The track function formalism was applied to calculate the thrust with charged particles only. Then, the focus shifts to the effective field theory. Soft-collinear effective theory was used to resum the large logarithms in the thrust calculation. The one-loop anomalous dimension matrix for the dimension-six baryon number violating operators is computed. Lastly, the Standard Model effective theory was used to study the semileptonic hyperon decays.

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