@misc{10481/75311,
year = {2022},
month = {5},
url = {http://hdl.handle.net/10481/75311},
abstract = {We present a basis of dimension-eight Green’s functions involving Standard
Model (SM) bosonic fields, consisting of 86 new operators. Rather than using algebraic
identities and integration by parts, we prove the independence of these interactions in
momentum space, including discussion on evanescent bosonic operators. Our results pave
the way for renormalising the SM effective field theory (SMEFT), as well as for performing
matching of ultraviolet models onto the SMEFT, to higher order. To demonstrate the
potential of our construction, we have implemented our basis in matchmakereft and used
it to integrate out a heavy singlet scalar and a heavy quadruplet scalar up to one loop.
We provide the corresponding dimension-eight Wilson coefficients. Likewise, we show how
our results can be easily used to simplify cumbersome redundant Lagrangians arising, for
example, from integrating out heavy fields using the path-integral approach to matching.},
organization = {Sugar Research Australia	PID2019-106087GB-C21/C22},
organization = {Junta de Andalucia	FQM 101	
A-FQM-211-UGR18	
P18-FR-4314},
organization = {Spanish MINECO under the Ramon y Cajal programme		
Spanish MINECO under the FPI programme},
organization = {Portuguese Foundation for Science and Technology	POCI-01-0145-FEDER-007334	
Portuguese Foundation for Science and Technology},
organization = {European Commission	CERN/FIS-PAR/0024/2019	
SFRH/BD/144244/2019},
publisher = {Springer},
keywords = {Effective Field Theories},
keywords = {SMEFT},
keywords = {Specific BSM Phenomenology},
title = {A Green’s basis for the bosonic SMEFT to dimension 8},
doi = {10.1007/JHEP05(2022)138},
author = {Rodríguez Chala, Mikael and Díaz Carmona, Álvaro and Guedes, Guilherme},
}