Calculation of Leading Power Jets in Soft-Collinear Effective Theory
Summary
The importance of Soft Collinear Effective Theory (SCET) arises from its ability to address
the challenges posed by phenomena involving disparate energy scales, where fixed/finite
order perturbation theory fails due to the emergence of large logarithms. SCET provides
a useful framework for breaking down the calculations into different components that depend
on single energy scales, i.e. for derivations of factorisation theorems. The all-order
expressions can then be obtained using scale evolution by solving the renormalization group
equations (RGEs) for each of the pieces appearing in the factorisation formula. This step
is known as resummation. In this master thesis presentation, I delve into the construction
of SCET, focusing on the derivation of the leading power Lagrangian and the calculation of
leading power jet functions with the SCET Lagrangian as well as regular QCD Lagrangian
and compare the results.