Efficient multi-jet merging with the Vincia sector shower

Understand

We here present an extension of the CKKW-L multi-jet merging technique to so-called sector showers as implemented in the Vincia antenna shower.

• The bijective nature of sector showers allows for efficient multi-jet merging at high multiplicities, as any given configuration possesses only a single "history", while retaining the accuracy of the CKKW-L technique.
• Our method reduces the factorial scaling of the number of parton shower histories to a constant of a single history per colour-ordered final state.
• We show that the complexity of constructing shower histories is reduced to an effective linear scaling with the number of final-state particles.