Impact of Dimension-8 SMEFT operators on Diboson Productions

Abstract

We for the first time identify all the dimension-8 (dim-8) SMEFT operators that can have an interference with the SM with $E^4/{\Lambda }^4$ enhancement in the high energy limit for the processes $q\bar{q}\to WW/WZ$. Our results therefore explicitly show that the non-interference observed for the dimension-six does not extend to dimension-eight. We compute the contributions of those dimension-8 operators to the cross-section at the 14 TeV Large Hadron Collider and compare the results with dimension-6 (dim-6) originated corrections at the order of dim-6-SM interference and dim-6 squared. We find one (two) dim-8 operator(s) can generate amplitudes of a similar order of magnitude compared with their dim-6 squared counterparts assuming unity dimensionless Wilson coefficients. During the study, new non-interference scenarios are found due to the selection rule of angular momentum as well as strong suppression due to the symmetric initial state for the proton-proton collider.

30 pages, 9 figures

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• Relevance of one-loop SMEFT matching in the 2HDM
• Polarized-boson pairs at NLO in the SMEFT
• Gluon-gluon fusion contribution to the productions of three gauge bosons at the LHC