Abstract
In this paper we explore pp → W±(ℓ±ν)γ to \( \mathcal{O}\left(1/{\Lambda}^4\right) \) in the SMEFT expansion. Calculations to this order are necessary to properly capture SMEFT contributions that grow with energy, as the interference between energy-enhanced SMEFT effects at \( \mathcal{O}\left(1/{\Lambda}^2\right) \) and the Standard Model is suppressed. We find that there are several dimension eight operators that interfere with the Standard Model and lead to the same energy growth, ~ \( \mathcal{O}\left({E}^4/{\Lambda}^4\right) \), as dimension six squared. While energy-enhanced SMEFT contributions are a main focus, our calculation includes the complete set of \( \mathcal{O}\left(1/{\Lambda}^4\right) \) SMEFT effects consistent with U(3)5 flavor symmetry. Additionally, we include the decay of the W± → ℓ± ν, making the calculation actually \( \overline{q}{q}^{\prime}\to {\ell}^{\pm}\nu \gamma \). As such, we are able to study the impact of non-resonant SMEFT operators, such as \( \left({L}^{\dagger }{\overline{\sigma}}^{\mu }{\tau}^IL\right)\left({Q}^{\dagger }{\overline{\sigma}}^{\nu }{\tau}^IQ\right) \) Bμν, which contribute to \( \overline{q}{q}^{\prime}\to {\ell}^{\pm}\nu \gamma \) directly and not to \( \overline{q}{q}^{\prime}\to {W}^{\pm}\gamma \). We show several distributions to illustrate the shape differences of the different contributions.
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Acknowledgments
We thank Tae Kim for collaboration during the early stages of this project, and Tyler Corbett for comments on the manuscript. The work of AM is partially supported by the National Science Foundation under Grant Number PHY-2112540.
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Martin, A. A case study of SMEFT \( \mathcal{O}\left(1/{\Lambda}^4\right) \) effects in diboson processes: pp → W±(ℓ±ν)γ. J. High Energ. Phys. 2024, 223 (2024). https://doi.org/10.1007/JHEP05(2024)223
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DOI: https://doi.org/10.1007/JHEP05(2024)223