Factorization for substructures of boosted Higgs jets

TL;DR

This paper develops a perturbative QCD factorization approach for analyzing substructures of boosted Higgs jets, providing analytical tools to distinguish them from ordinary QCD jets and extending to other bosons.

Contribution

Introduces a new factorization formula for boosted Higgs jet substructures, enabling analytical energy profile calculations and improved discrimination of fat jets from different processes.

Findings

Derived an analytical expression for the energy profile of boosted Higgs jets.

The formalism effectively differentiates Higgs jets from QCD jets.

Extension of the method to boosted W and Z bosons enhances its applicability.

Abstract

We present a perturbative QCD factorization formula for substructures of an energetic Higgs jet, taking the energy profile resulting from the $H\to b\bar b$ decay as an example. The formula is written as a convolution of a hard Higgs decay kernel with two $b$-quark jet functions and a soft function that links the colors of the two $b$ quarks. We derive an analytical expression to approximate the energy profile within a boosted Higgs jet, which significantly differs from those of ordinary QCD jets. This formalism also extends to boosted $W$ and $Z$ bosons in their hadronic decay modes, allowing an easy and efficient discrimination of fat jets produced from different processes.