Abstract
We calculate the mathcal{O}left({leftlangle {H}^{dagger }Hrightrangle}^2/{Lambda}^4right) corrections to LEP electroweak precision data using the geometric formulation of the Standard Model Effective Field Theory (SMEFT). We report our results in simple-to-use interpolation tables that allow the interpretation of this data set to dimension eight for the first time. We demonstrate the impact of these previously unknown terms in the case of a general analysis in the SMEFT, and also in the cases of two distinct models matched to dimension eight. Neglecting such dimension-eight corrections to LEP observables introduces a theoretical error in SMEFT studies. We report some preliminary studies defining such a theory error, explicitly demonstrating the effect of previously unknown dimension-eight SMEFT corrections on LEP observables.
Highlights
Standard Model Effective Field Theory (SMEFT) is the appropriate EFT for data with a measurement scale proximate to the electroweak scale
In this paper we have developed and reported the first analysis of Electroweak Precision Data (EWPD) in the SMEFT to dimension eight
The interpretation of EWPD in the SMEFT has been subject to significant controversy over the years
Summary
The particle spectrum includes an SU(2)L scalar doublet (H) with hypercharge yh = 1/2. The geometric formulation of the SMEFT (geoSMEFT [13,14,15,16]) organizes the theory in terms of field-space connections. This approach builds on the results reported in refs. The theory was consistently formulated for these n-point functions to O(v4/Λ4) in ref. This is sufficient to examine the effect of heretofore unknown dimension-eight corrections on EWPD observables
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