Phenomenology in Nuclear and Hadronic Physics Using Effective Field Theories

Effective Field Theories (EFTs) are used to provide precision results of phenomenological problems in nuclear and hadronic physics. First, Soft Collinear Effective Theory (SCET) is reviewed in brief. It is then applied to the problem of Semi-Inclusive Deep Inelastic Scattering (SIDIS) in order to extract information about the nonperturbative nature of Transverse Momentum Dependent Parton Distributions (TMDPDFs). We apply a Hybrid Momentum space impact parameter resummation scheme to reduce the amount of nonperturbative physics that is modeled by a resummation scheme. The results are compared to data from the HERMES experiment and are used to inform further improvements for extractions from the future EIC measurements. Second, Chiral Perturbation Theory and Chiral Effective Theory (Chiral EFT) are introduced and reviewed. In the Chiral EFT framework, one can extract information about beyond Standard Model operators at the nuclear scale. This has been applied to neutrinoless double beta decay problems. In order to have a properly renormalized description of this phenomenon we need constrains on a lepton number violating (LNV) operator. This operator is similar to a charge Independence breaking (CIB) operator. All it requires is a rescaling and isospin rotation. We calculate CIB potentials for up to four body interactions in order to constrain this operator and thus get constraints on the LNV operator needed for extractions of neutrinoless double beta decay. Finally we take a brief look at the photo-production of quarkonium and how resolving current disagreements can make this a powerful tool for the extraction of the gluon TMDPDF