# Multi-jet merging in a variable flavor number scheme

## TL;DR

This paper introduces a new method to combine multi-jet merged simulations with b-quark production calculations, ensuring consistency between different flavor schemes, demonstrated through Zbb production at the LHC.

## Contribution

A novel technique for merging multi-jet simulations with b-quark production calculations in different flavor schemes, aligned with the FONLL method.

## Key findings

- Algorithm is equivalent to FONLL at fixed-order and logarithmic accuracy.
- Ensures consistent combination of five-flavor and four-flavor scheme calculations.
- Applied successfully to Zbb production at the LHC.

## Abstract

We propose a novel technique for the combination of multi-jet merged simulations in the five-flavor scheme with calculations for the production of b-quark associated final states in the four-flavor scheme. We show the equivalence of our algorithm to the FONLL method at the fixed-order and logarithmic accuracy inherent to the matrix-element and parton-shower simulation employed in the multi-jet merging. As a first application we discuss Zbb production at the Large Hadron Collider.