Energy dependence of $φ$ meson production at forward rapidity in pp collisions at the LHC

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The production of $\phi$ mesons has been studied in pp collisions at LHC energies with the ALICE detector via the dimuon decay channel in the rapidity region $2.5 <~ y <~ 4$. Measurements of the differential cross section ${\rm d}^2\sigma/{\rm d}y {\rm d}p_{\rm T}$ are presented as a function of the transverse momentum ($p_{\rm T}$) at the center-of-mass energies $\sqrt{s}=5.02$, 8 and 13 TeV and compared with the ALICE results at midrapidity. The differential cross sections at $\sqrt{s}=5.02$ and 13 TeV are also studied in several rapidity intervals as a function of $p_{\rm T}$, and as a function of rapidity in three $p_{\rm T}$ intervals. A hardening of the $p_{\rm T}$-differential cross section with the collision energy is observed, while, for a given energy, $p_{\rm T}$ spectra soften with increasing rapidity and, conversely, rapidity distributions get slightly narrower at increasing $p_{\rm T}$. The new results, complementing the published measurements at $\sqrt{s}=2.76$ and 7 TeV, allow one to establish the energy dependence of $\phi$ meson production and to compare the measured cross sections with phenomenological models.

 

Submitted to: EPJC
e-Print: arXiv:2105.00713 | PDF | inSPIRE
CERN-EP-2021-057

Figure 2

< p>Differential $\phi$ meson production cross section $\mathrm{d}^2\sigma/(\mathrm{d}y\mathrm{d}\pt)$ as a function of $\pt$ at $\sqrt{s}=5.02$~TeV, $\sqrt{s}=8$~TeV and $\sqrt{s}=13$~TeV, measured in the $\mu^+\mu^-$ decay channel in the rapidity interval $2.5< y symbols="" and="" in="" the="" k="" channel="" at="" midrapidity="" boxes="" represent="" systematic="" uncertainties="" error="" bars="" statistical="" uncertainties.="" data="" points="" are="" fitted="" with="" a="" levy-tsallis="" function="" see="" eq.="" ratio="" between="" fit="" forward="" rapidity="" is="" plotted="" bottom="" panels.="">< /y>< /p>

Figure 3

< p>Top: differential $\phi$ meson production cross section $\mathrm{d}^2\sigma/(\mathrm{d}y\mathrm{d}\pt$) as a function of $\pt$ at $\sqrt{s}=$2.76, 5.02, 7, 8 and 13~TeV The boxes represent the systematic uncertainties, the error bars the statistical uncertainties. Bottom: ratio between the cross sections measured at several energies to the one obtained at $\sqrt{s}=13$~TeV.< /p>

Figure 4

< p>Top: differential $\phi$ meson production cross section $\mathrm{d}^2\sigma/\mathrm{d}y\mathrm{d}\pt$ as a function of $\pt$ at $\sqrt{s}=5.02$~TeV (left), $\sqrt{s}=8$~TeV (center) and $\sqrt{s}=13$~TeV (right) in the rapidity interval $2.5< y compared="" with="" epos="" phojet="" and="" the="" monash="" tune="" of="" pythia="" boxes="" represent="" systematic="" uncertainties="" error="" bars="" statistical="" bottom:="" ratio="" between="" measured="" cross="" section="" calculations.="">< /y>< /p>

Figure 5

< p>Differential $\phi$ meson production cross section $\mathrm{d}^2\sigma/\mathrm{d}y\mathrm{d}\pt$ as a function of $\pt$ at $\sqrt{s}=5.02$~TeV (left) and $\sqrt{s}=13$~TeV (right) in several rapidity intervals. The boxes represent the systematic uncertainties, the error bars the statistical uncertainties Data are fitted with a Levy-Tsallis function, see Eq.~\ref{eq:LevyTsallis}.< /p>

Figure 6

< p>Differential $\phi$ meson production cross section $\mathrm{d}^2\sigma/\mathrm{d}y\mathrm{d}\pt$ as a function of rapidity at $\sqrt{s}=5.02$~TeV (left) and $\sqrt{s}=13$~TeV (right) in several $\pt$ intervals, compared with EPOS~3~, PHOJET~ and the Monash~2013 tune of PYTHIA~8.1~. The ratio of the data to the lowest $\pt$ interval is shown in the bottom panel The boxes represent the systematic uncertainties, the error bars the statistical uncertainties < /p>