DOI: 10.17182/hepdata.158364.v1/t6
title: "Figure 4b" of "Search for a new scalar resonance decaying to a Higgs boson and another new scalar particle in the final state with two bottom quarks and two photons in proton-proton collisions at $\sqrt{s}$ = 13 TeV"

description: Background-only fit (red line) and signal+background fit (blue line) for the mass point hypothesis of mX=280GeV, mY=90GeV. The red line in the lower panel shows the background-only fit, which is by definition zero, and it is added as a visual aid. The second most sensitive SR is shown. The choice of the background functional form is determined by the maximum likelihood fit. Category 1 is the second most sensitive signal region.

Drell-Yan background component is fitted as
\[f_{\text{DY}}(m) = \frac{0.532195}{\sqrt{2\pi} \cdot 3.10187} \cdot \exp\left( -\frac{(m - 89.7677)^2}{2 \cdot 3.10187^2} \right)\]

In the both the background-only fit and signal plus background fit, the non-resonant component of the pdf is choosing the following function. 
\[f(m) = \frac{1}{14.0606} \cdot \exp\left(-\left(0.1 \cdot \frac{m}{100} + 1.73 \cdot \left(\frac{m}{100}\right)^2\right)\right)\]

The fitted normalization factor for the function is: 21.6386

Signal fitted r value is 1.21391 in all the category simultaneous fit. The signal is fitted with a double-sided Crystal Ball (DCB) function defined as:

DCB$(x)$ =
\[
\begin{cases}
N \cdot A_1 \cdot (B_1 - x_s)^{-m_1}, & x_s \leq -\beta_1 \\
N \cdot e^{-\frac{1}{2} x_s^2}, & -\beta_1 &lt; x_s &lt; \beta_2 \\
N \cdot A_2 \cdot (B_2 + x_s)^{-m_2}, & x_s \geq \beta_2
\end{cases}
\]

with \(x_s = \frac{x - \mu}{\sigma}\), and:
\[
A_1 = \left( \frac{m_1}{\beta_1} \right)^{m_1} e^{-\frac{1}{2} \beta_1^2}, \quad
B_1 = \frac{m_1}{\beta_1} - \beta_1
\]
\[
A_2 = \left( \frac{m_2}{\beta_2} \right)^{m_2} e^{-\frac{1}{2} \beta_2^2}, \quad
B_2 = \frac{m_2}{\beta_2} - \beta_2
\]

The DCB parameters are:

2016:
\[
\begin{aligned}
N &= 0.3784, & \mu &= 89.8969, & \sigma &= 0.9189 \\
\beta_1 &= 1.1920, & m_1 &= 3.7178, & \beta_2 &= 1.3318, & m_2 &= 10.9787
\end{aligned}
\]

2017:
\[
\begin{aligned}
N &= 0.4914, & \mu &= 89.8859, & \sigma &= 1.0728 \\
\beta_1 &= 1.3515, & m_1 &= 3.2846, & \beta_2 &= 1.4371, & m_2 &= 20.0000
\end{aligned}
\]

2018:
\[
\begin{aligned}
N &= 0.6766, & \mu &= 89.9327, & \sigma &= 1.1213 \\
\beta_1 &= 1.9188, & m_1 &= 1.5353, & \beta_2 &= 1.9907, & m_2 &= 12.4664
\end{aligned}
\]


The plot is filled with a bin size of 5.84GeV.
description: A search for a new scalar resonance, X, decaying to a standard model Higgs boson and another new scalar particle, Y, is presented. The Higgs boson further decays to a pair of b quarks, while the Y particle decays to a pair of photons. The search is performed in the mass range 240--1000GeV for the resonance X, and in the mass range 70--800GeV for the particle Y, using proton-proton collision data collected by the CMS experiment at $\sqrt{s}=13TeV$, corresponding to an integrated luminosity of $132fb^{-1}$. In general, the data are found to be compatible with the standard model expectation. Observed (expected) upper limits on the product of the production cross section and the relevant branching fraction at $95%$ confidence level are extracted for the $X\rightarrow YH$ process, and are found to be within the range of 0.05--2.69(0.08--1.94)fb depending on $m_{X}$ and $m_{Y}$. The most significant deviation from the background-only hypothesis is observed for X and Y masses of $300$ and $77GeV$, respectively, with a local (global) significance of 3.33 (0.65) standard deviations.