Investigating charm production and fragmentation via azimuthal correlations of prompt D mesons with charged particles in pp collisions at $$\mathbf {\sqrt{ s} = 13}$$ TeV

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<jats:title>Abstract</jats:title><jats:p>Angular correlations of heavy-flavour and charged particles in high-energy proton–proton collisions are sensitive to the production mechanisms of heavy quarks and to their fragmentation as well as hadronisation processes. The measurement of the azimuthal-correlation function of prompt D mesons with charged particles in proton–proton collisions at a centre-of-mass energy of <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sqrt{s} = 13$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> <mml:mo>=</mml:mo> <mml:mn>13</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> TeV with the ALICE detector is reported, considering <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mathrm D^{0} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>D</mml:mi> <mml:mn>0</mml:mn> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>, <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mathrm D^{+} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>D</mml:mi> <mml:mo>+</mml:mo> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula>, and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\mathrm D^{*+} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mrow /> <mml:mo>∗</mml:mo> <mml:mo>+</mml:mo> </mml:mrow> </mml:msup> </mml:math></jats:alternatives></jats:inline-formula> mesons in the transverse-momentum interval <jats:inline-formula><jats:alternatives><jats:tex-math>$$3< p_{\mathrm{T}} < 36$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo><</mml:mo> <mml:msub> <mml:mi>p</mml:mi> <mml:mi>T</mml:mi> </mml:msub> <mml:mo><</mml:mo> <mml:mn>36</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> GeV/<jats:inline-formula><jats:alternatives><jats:tex-math>$$c$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>c</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> at midrapidity (<jats:inline-formula><jats:alternatives><jats:tex-math>$$|y| < 0.5$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>y</mml:mi> <mml:mo>|</mml:mo> <mml:mo><</mml:mo> <mml:mn>0.5</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>), and charged particles with <jats:inline-formula><jats:alternatives><jats:tex-math>$$p_{\mathrm{T}} > 0.3$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>p</mml:mi> <mml:mi>T</mml:mi> </mml:msub> <mml:mo>></mml:mo> <mml:mn>0.3</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> GeV/<jats:inline-formula><jats:alternatives><jats:tex-math>$$c$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>c</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> and pseudorapidity <jats:inline-formula><jats:alternatives><jats:tex-math>$$|\eta | < 0.8$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>|</mml:mo> <mml:mi>η</mml:mi> <mml:mo>|</mml:mo> <mml:mo><</mml:mo> <mml:mn>0.8</mml:mn> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. This measurement has an improved precision and provides an extended transverse-momentum coverage compared to previous ALICE measurements at lower energies. The study is also performed as a function of the charged-particle multiplicity, showing no modifications of the correlation function with multiplicity within uncertainties. The properties and the transverse-momentum evolution of the near- and away-side correlation peaks are studied and compared with predictions from various Monte Carlo event generators. Among those considered, PYTHIA8 and POWHEG+PYTHIA8 provide the best description of the measured observables. The obtained results can provide guidance on tuning the generators.</jats:p>

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