A New Precision Process at FCC-hh: the diphoton leptonic Wh channel

The increase in luminosity and center of mass energy at the FCC-hh will open up new clean channels where BSM contributions are enhanced at high energy. In this paper we study one such channel, Wh → lνγγ. We estimate the sensitivity to the $$ {\mathcal{O}}_{\varphi q}^{(3)} $$ , $$ {\mathcal{O}}_{\varphi \mathrm{W}} $$ , and $$ {\mathcal{O}}_{\varphi \tilde{\mathrm{W}}} $$ SMEFT operators. We find that this channel will be competitive with fully leptonic WZ production in setting bounds on $$ {\mathcal{O}}_{\varphi q}^{(3)} $$ . We also find that the double differential distribution in the $$ {p}_T^h $$ and the leptonic azimuthal angle can be exploited to enhance the sensitivity to $$ {\mathcal{O}}_{\varphi \tilde{\mathrm{W}}} $$ . However, the bounds on $$ {\mathcal{O}}_{\varphi \mathrm{W}} $$ and $$ {\mathcal{O}}_{\varphi \tilde{\mathrm{W}}} $$ we obtain in our analysis, though complementary and more direct, are not competitive with those coming from other measurements such as EDMs and inclusive Higgs measurements.