Probing B-Anomalies via Dimuon Tails at a Future Collider

TL;DR

This study evaluates the potential of future proton-proton colliders, specifically FCC-hh, to detect or exclude new physics related to B-anomalies through dimuon tail measurements, incorporating advanced calculations and validation.

Contribution

It provides a detailed sensitivity analysis for FCC-hh to probe B-anomaly related contact interactions, including NLO effects and optimized binning, extending current collider reach.

Findings

FCC-hh can exclude scales up to 26 TeV at 95% CL.

FCC-hh can discover scales up to 20 TeV.

Current best-fit value of 39 TeV is just beyond projected reach.

Abstract

We investigate the sensitivity of future proton-proton colliders to a contact interaction of the form $1/\Lambda^2 (\bar b_L \gamma_\mu s_L)(\bar \mu_L \gamma^\mu \mu_L)$ as indicated by the long-standing rare $B$-decay anomalies. We include NLO QCD and electroweak effects and employ an optimized binning scheme, and carefully validate our background calculation against ATLAS and CMS data. We find that the FCC-hh with $40$ ab$^{-1}$ of luminosity is able to exclude scales $\Lambda$ up to 26 TeV at $95 \%$ CL, and discover $\Lambda$ up to 20 TeV. While this is not quite enough to exclude or discover the current best-fit value of $39$ TeV, this can in principle be achieved with more luminosity and/or higher energy, as we study quantitatively. Our analysis is conservative in that it assumes only a $\bar b s \mu \mu $ contact interaction.