Three-point Energy Correlators in Hadronic Higgs Decays

Abstract

We present the analytic calculation of the leading order three-point energy correlator (EEEC) in hadronic Higgs decays, including both gluon-initiated channel $H\to gg+X$ and quark-initiated channel $H\to q\bar{q}+X$. The phase space integration is evaluated directly using Mandelstam variables $s_{ij}=(p_i+p_j{)}^2$, and the appearing square roots can be rationalized by either conformal ratios or celestial coordinate variables. Throughout the calculation, we observe the same transcendental function space as in $\mathcal{N}=4$ super Yang-Mills (SYM) theory and $e^{+}{e}^{-}\to \text{ hadrons}$. Different infrared limits are also explored using the full analytic result, offering the fixed-order data for EEEC factorization and resummation. Given its non-trivial shape dependence, the EEEC presents an excellent opportunity to explore the dynamics of gluon jets originating from the $H\to gg$ decay channel at future lepton colliders.

18 pages, 9 figures, ancillary files with results

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