CERN Accelerating science

Report number	LHCHXSWG-INT-2015-001
Title	Higgs Basis: Proposal for an EFT basis choice for LHC HXSWG
Status	draft
Author(s)	Adam Falkowski (Universite de Paris-Sud 11 (FR)) ; Adam Falkowski (Universite de Paris-Sud 11 (FR))
Publication	29
Document contact	Contact: Adam Falkowski Email: afalkows017@gmail.com
Imprint	29-03-2015
Number of pages	45
Subject category	Particle Physics - Phenomenology
Accelerator/Facility, Experiment	LHC
Keywords	SM Higgs ; EFT
Abstract	We review the effective field theory where the Standard Model is extended by higher-dimensional operators. Various existing operator sets (bases) spanning the space of dimension-6 operators are discussed. For the SILH basis and for the Warsaw basis, we derive the map between the Wilson coefficients of dimension-6 operators and the couplings of mass eigenstates in the Lagrangian. We also propose a new parametrization of the space of dimension-6 operators: the so-called Higgs basis. In that basis, the dimension-6 operators that can be best probed by LHC Higgs searches are explicitly separated from the ones strongly constrained by previous experiments. Therefore, the Higgs basis is particularly convenient for leading order effective field theory analyses of the LHC Higgs data.
Submitted by	nikolaos.rompotis@cern.ch