A simple alternative to the Crystal Ball function

Abstract

We present a simple alternative to the Crystal Ball function that has an exponential tail stitched to a Gaussian core. It has one parameter less than the Crystal Ball function and, where appropriate, offers more stable fits to peaks that continue into exponential tails. The function may also be extended with two exponential tails on each side of the Gaussian, and this has two parameters less than the corresponding double-shouldered Crystal Ball function. This function has been used to model background and signal processes in a recent Higgs pair production search and may be of versatile use in experimental physics and other fields.

6 pages, 6 figures

References in corpus (2)

• ROOT - A C++ Framework for Petabyte Data Storage, Statistical Analysis and Visualization
• Search for resonant pair production of Higgs bosons decaying to two bottom quark-antiquark pairs in proton-proton collisions at 8 TeV

Cited by in corpus (5)

• Search for a heavy Higgs boson decaying into a $Z$ boson and another heavy Higgs boson in the $\ell \ell bb$ final state in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Search for a heavy Higgs boson decaying into a $Z$ boson and another heavy Higgs boson in the $\ell \ell bb$ and $\ell \ell WW$ final states in $pp$ collisions at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Investigation into the event-activity dependence of ${\rm Y}$(nS) relative production in proton-proton collisions at $\sqrt{s}=$ 7 TeV
• A D${}_2$O detector for flux normalization of a pion decay-at-rest neutrino source
• Simulation studies of the Moliere radius for em calorimeter materials