Abstract
Effective Field Theory (EFT) extensions of the Standard Model are tools to compute observables (e.g. cross sections with partonic center-of-mass energy \( \sqrt{\hat{s}} \)) as a systematically improvable expansion suppressed by a new physics scale M. If one is interested in EFT predictions in the parameter space where M < \( \sqrt{\hat{s}} \), concerns of self-consistency emerge, which can manifest as a violation of perturbative partial-wave unitarity. However, when we search for the effects of an EFT at a hadron collider with center-of-mass energy \( \sqrt{s} \) using an inclusive strategy, we typically do not have access to the event-by-event value of \( \sqrt{\hat{s}} \). This motivates the need for a formalism that incorporates parton distribution functions into the perturbative partial-wave unitarity analysis. Developing such a framework and initiating an exploration of its implications is the goal of this work. Our approach opens up a potentially valid region of the EFT parameter space where M ≪ \( \sqrt{s} \). We provide evidence that there exist valid EFTs in this parameter space. The perturbative unitarity bounds are sensitive to the details of a given search, an effect we investigate by varying kinematic cuts.
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Cohen, T., Doss, J. & Lu, X. Unitarity bounds on effective field theories at the LHC. J. High Energ. Phys. 2022, 155 (2022). https://doi.org/10.1007/JHEP04(2022)155
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DOI: https://doi.org/10.1007/JHEP04(2022)155