# Measurement of $$\mathrm{t\bar t}$$ normalised multi-differential cross sections in pp collisions at $$\sqrt s=13$$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions

## Abstract

Normalised multi-differential cross sections for top quark pair ($$\mathrm{t\overline{t}}$$) production are measured in proton-proton collisions at a centre-of-mass energy of 13 TeV using events containing two oppositely charged leptons. The analysed data were recorded with the CMS detector in 2016 and correspond to an integrated luminosity of 35.9 fb$$^{-1}$$. The double-differential $$\mathrm{t\overline{t}}$$ cross section is measured as a function of the kinematic properties of the top quark and of the $$\mathrm{t\overline{t}}$$ system at parton level in the full phase space. A triple-differential measurement is performed as a function of the invariant mass and rapidity of the $$\mathrm{t\overline{t}}$$ system and the multiplicity of additional jets at particle level. The data are compared to predictions of Monte Carlo event generators that complement next-to-leading-order (NLO) quantum chromodynamics (QCD) calculations with parton showers. Together with a fixed-order NLO QCD calculation, the triple-differential measurement is used to extract values of the strong coupling strength $$\alpha_S$$ and the top quark pole mass ($$m_\mathrm{T}^\text{pole}$$) using several sets of parton distribution functions (PDFs). Furthermore, a simultaneous fit of the PDFs, $$\alpha_S$$, and $$m_\mathrm{T}^\text{pole}$$ is performed at NLO, demonstrating that the new data have significant impact on the gluon PDF, and at the same time allow an accurate determination of $$\alpha_S$$ and $$m_\mathrm{T}^\text{pole}$$.

- Authors:

- Publication Date:

- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States); Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- Contributing Org.:
- CMS

- OSTI Identifier:
- 1515058

- Report Number(s):
- FERMILAB-PUB-19-230-CMS; arXiv:1904.05237; CMS-TOP-18-004; CERN-EP-2019-028

1729144

- DOE Contract Number:
- AC02-07CH11359

- Resource Type:
- Journal Article

- Journal Name:
- Eur.Phys.J.

- Additional Journal Information:
- Journal Name: Eur.Phys.J.

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Sirunyan, Albert M, and et al.
```*Measurement of $\mathrm{t\bar t}$ normalised multi-differential cross sections in pp collisions at $\sqrt s=13$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions*. United States: N. p., 2019.
Web.

```
Sirunyan, Albert M, & et al.
```*Measurement of $\mathrm{t\bar t}$ normalised multi-differential cross sections in pp collisions at $\sqrt s=13$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions*. United States.

```
Sirunyan, Albert M, and et al. Wed .
"Measurement of $\mathrm{t\bar t}$ normalised multi-differential cross sections in pp collisions at $\sqrt s=13$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions". United States. https://www.osti.gov/servlets/purl/1515058.
```

```
@article{osti_1515058,
```

title = {Measurement of $\mathrm{t\bar t}$ normalised multi-differential cross sections in pp collisions at $\sqrt s=13$ TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions},

author = {Sirunyan, Albert M and et al.},

abstractNote = {Normalised multi-differential cross sections for top quark pair ($\mathrm{t\overline{t}}$) production are measured in proton-proton collisions at a centre-of-mass energy of 13 TeV using events containing two oppositely charged leptons. The analysed data were recorded with the CMS detector in 2016 and correspond to an integrated luminosity of 35.9 fb$^{-1}$. The double-differential $\mathrm{t\overline{t}}$ cross section is measured as a function of the kinematic properties of the top quark and of the $\mathrm{t\overline{t}}$ system at parton level in the full phase space. A triple-differential measurement is performed as a function of the invariant mass and rapidity of the $\mathrm{t\overline{t}}$ system and the multiplicity of additional jets at particle level. The data are compared to predictions of Monte Carlo event generators that complement next-to-leading-order (NLO) quantum chromodynamics (QCD) calculations with parton showers. Together with a fixed-order NLO QCD calculation, the triple-differential measurement is used to extract values of the strong coupling strength $\alpha_S$ and the top quark pole mass ($m_\mathrm{T}^\text{pole}$) using several sets of parton distribution functions (PDFs). Furthermore, a simultaneous fit of the PDFs, $\alpha_S$, and $m_\mathrm{T}^\text{pole}$ is performed at NLO, demonstrating that the new data have significant impact on the gluon PDF, and at the same time allow an accurate determination of $\alpha_S$ and $m_\mathrm{T}^\text{pole}$.},

doi = {},

journal = {Eur.Phys.J.},

number = ,

volume = ,

place = {United States},

year = {2019},

month = {4}

}