# Probing the Weinberg Operator at Colliders

Abstract : Motivated by searches for $0\nu\beta\beta$ decay in nuclear experiments and collider probes of lepton number violation at dimension $d\geq7$, we investigate the sensitivity to the $d=5$ Weinberg operator using the non-resonant signature $pp\to \ell^\pm \ell'^{\pm} j j$ at the LHC. We develop a prescription for the operator that is applicable in collisions and decays, and focus on the $\ell\ell'=\mu\mu$ channel, which is beyond the reach of nuclear decays. For a Wilson coefficient $C^{\mu\mu}_5=1$, scales as heavy as $\Lambda\sim 8.3~(13)$ TeV can be probed with $\mathcal{L}=300~{\rm fb}^{-1} (3~{\rm ab}^{-1})$. This translates to effective $\mu\mu$ Majorana masses of $\vert m_{\mu\mu}\vert\sim7.3~(5.4)$ GeV, and establishes a road map for testing the Weinberg operator at accelerators.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-03108003
Contributor : Inspire Hep <>
Submitted on : Tuesday, January 12, 2021 - 9:55:52 PM
Last modification on : Thursday, January 14, 2021 - 3:33:11 AM

### Citation

Benjamin Fuks, Jonas Neundorf, Krisztian Peters, Richard Ruiz, Matthias Saimpert. Probing the Weinberg Operator at Colliders. 2021. ⟨hal-03108003⟩

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