The Standard Model Effective Field Theory at One Loop

ended

"The Large Hadron Collider and particle physics as a whole is entering a high precision era. A powerful tool for studying new physics in precision experiments where new particles may not be produced directly, but their influence on lower energy physics may be seen indirectly, is that of Effective Field Theories. I propose to use the Background Field Method, a useful formulation in perturbative quantum field theory, to aid in the calculation of one-loop amplitudes in the Standard Model Effective Field Theory. After completing basic calculations allowing for the one-loop program to proceed, I will focus on calculations relevant to Z boson physics first as this is the area most in need of precision calculation and will open the door for important studies of next generation collider design. Then I will finish by calculating the Higgs boson width to one loop order with up to 3 final state particles in the Standard Model Effective Field Theory. This will serve as an update to the tree level Higgs width package currently being produced by myself and my supervisor. A core element of this proposal is the production of another package, tentatively named ""SMEFT-ONE,"" in which I will release the results of all one loop calculations produced as a result of this proposal. The purpose of this package will be the dissemination of the work to the particle phenomenology community as a whole with a focus on the ability to directly use the results in independent studies."