Misc,
The Standard Model as an Effective Field Theory
(Jun 27, 2017)
Abstract
Projecting measurements of the interactions of the known Standard Model (SM)
states into an effective field theory framework (EFT) is an important goal of
the LHC physics program. The interpretation of measurements of the properties
of the Higgs-like boson in an EFT allows one to consistently study the
properties of this state, while the SM is allowed to eventually break down at
higher energies. In this review, basic concepts relevant to the construction of
such EFTs are reviewed pedagogically. Electroweak precision data is discussed
as a historical example of some importance to illustrate critical consistency
issues in interpreting experimental data in EFTs. A future precision Higgs
phenomenology program can benefit from the projection of raw experimental
results into consistent field theories such as the SM, the SM supplemented with
higher dimensional operators (the SMEFT) or an Electroweak chiral Lagrangian
with a dominantly \$J^P = 0^+\$ scalar (the HEFT). We discuss the developing
SMEFT and HEFT approaches, that are consistent versions of such EFTs,
systematically improvable with higher order corrections, and comment on the
pseudo-observable approach. We review the challenges that have been overcome in
developing EFT methods for LHC studies, and the challenges that remain.
