Renormalization of the Standard Model Effective Field Theory from geometry

Renormalization and Effective Field Theory

Standard model effective field theory: integrating out vector-like fermions

We apply the covariant derivative expansion of the Coleman-Weinberg potential to vector-like fermion models, matching the UV theory to the relevant dimension-6 operators in the standard model effective field theory. The γ matrix induced complication in the fermionic covariant derivative expansion is studied in detail, and all the contributing combinations are enumerated. From this analytical re...

On the Renormalization of Heavy Quark Effective Field Theory

The construction of heavy quark effective field theory (HqEFT) is extended to arbitrary order in both expansion parameters αs and 1/mq. Matching conditions are discussed for the general case, and it is verified that this approach correctly reproduces the infrared behaviour of full QCD. Choosing a renormalization scheme in the full theory fixes the renormalization scheme in the effective theory ...

Effective Field Theory of pure Gravity and the Renormalization Group

The general structure of the renormalization group equations for the low energy effective field theory formulation of pure gravity is presented. The solution of these equations takes a particular simple form if the mass scale of the effective theory is much smaller than the Planck mass (a possibility compatible with the renormalization of the effective theory). A theory with just one free renor...

Relation between standard nuclear physics approach and nuclear effective field theory through renormalization group

A relation between standard nuclear physics approach (SNPA) and nuclear effective field theory (NEFT) is proposed from a renormalization group point of view. SNPA and NEFT are satisfactorily related to each other through the Wilsonian renormalization group (WRG) method. It is clearly shown that the use of the simple contact interactions in NEFT is adequate to simulate short-distance physics, an...