Two-particle Bose-Einstein correlations in $pp$ collisions at $\mathbf {\sqrt{s} =}$ 0.9 and 7 TeV measured with the ATLAS detector

The ATLAS collaboration
Eur.Phys.J.C 75 (2015) 466, 2015.

Abstract (data abstract)
CERN-LHC. Studies of Bose-Einstein Correlations (BEC) for pairs of like-sign charged particles measured in the kinematic range $p_{T} > 100\ MeV$ and $|\eta| < 2.5$ in proton-proton collisions at centre-of-mass energies of $0.9$ and $7\ TeV$ with the ATLAS detector at the CERN Large Hadron Collider are presented. In addition to minimum-bias data, high-multiplicity data recorded at $7\ TeV$ using a dedicated trigger are investigated. The integrated luminosities are approximately $7\ \mu$$b^{-1}$ (2009), $190\ \mu$$b^{-1}$ (2010) and $12.4\ nb^{-1}$ (2010) for $0.9\ TeV$, $7\ TeV$ minimum-bias and $7\ TeV$ high-multiplicity (HM) data samples, respectively. Bose-Einstein correlations are measured in terms of a two-particle correlation function. The density function is parameterized in terms of the Lorentz-invariant four-momentum difference squared, $Q^{2}$, of the two particles. The studies were performed using the double-ratio correlation function $R_{2}(Q)$. In the double-ratio method, the single-ratio correlation function $C_{2}(Q)$ obtained from the data is divided by a similar single-ratio calculated using Monte Carlo events, which do not have BEC effects. The reference sample for each of the two single-ratios is constructed from unlike-sign charged-particle pairs. A clear signal of Bose-Einstein correlations is observed in the region of small four-momentum difference. The BEC effect is usually described by a function with two parameters: the effective radius $R$ and the strength parameter $\lambda$ (incoherence or chaoticity parameter). To quantitatively characterize the BEC effect, the Gaussian $\Omega^{(G)}$ and the Exponential $\Omega^{(E)} $parametrizations are fit to the measured correlation functions. As the Gaussian parametrization provides a poor description of the BEC-enhanced region and hence the Exponential parametrization is used for the final results. The fits are performed in the $Q$ range $0.02\ GeV$ to $2\ GeV$ and with a bin width of $0.02\ GeV$. Around $Q \sim 0.7\ GeV$ there is a visible bump which is due to an overestimate of $\rho \to \pi^{+}\pi^{-}$ decays in the Monte Carlo simulation. Therefore the region $0.5 \le Q \le 0.9\ GeV$ is excluded from the fits. The BEC parameters characterizing the correlation strength $\lambda$ and the correlation source size $R$ are measured for $0.9\ TeV$, $7\ TeV$ minimum-bias charged-particle events and $7\ TeV$ high-multiplicity charged-particle events with multiplicities $n_{ch} \ge 2$, $n_{ch} \ge 2$ and $n_{ch} \ge 150$, respectively. The average transverse momentum $k_{T}$ and the multiplicity $n_{ch}$ dependences of the BEC parameters are investigated for charged-particle multiplicities of up to $240$. A saturation effect in the multiplicity dependence of the correlation source size is observed using the high-multiplicity $7\ TeV$ data samples. See Eur. Phys. J. C75 (2015) 466 for more details.

  • Table 1

    Data from Page 5 of the preprint

    10.17182/hepdata.70016.v1/t1

    Systematic uncertainties on $\lambda$ and $R$ for the exponential fit of the two-particle double-ratio correlation function $R_{2}(Q)$ in the full...

  • Table 2

    Data from Table 2, Part 1, Page 8 of the preprint

    10.17182/hepdata.70016.v1/t2

    Results of fitting the multiplicity, $n_{ch}$, dependence of the BEC parameters $R$ and $\lambda$ with different functional forms for $\sqrt{s}...

  • Table 3

    Data from Table 2, Part 2, Page 8 of the preprint

    10.17182/hepdata.70016.v1/t3

    Results of fitting the transverse momentum of the pair, $k_{T}$, dependence of the BEC parameters $R$ and $\lambda$ with the...

  • Table 4

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t4

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 0.9\ TeV$ events with the...

  • Table 5

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t5

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ events with the...

  • Table 6

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t6

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV\ HM$ events with...

  • Table 7

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t7

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 0.9\ TeV$ ($n_{ch} \ge 2$)...

  • Table 8

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t8

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ ($n_{ch} \ge 2$)...

  • Table 9

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t9

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV\ HM$ ($n_{ch} \ge...

  • Table 10

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t10

    The results of fits of the two-particle double-ratio correlation function $R_{2} (Q)$ for $\sqrt{s} = 7\ TeV$ events with the...

  • Table 11

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t11

    The $Q$ distribution measured at $0.9\ TeV$ for unlike-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the...

  • Table 12

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t12

    The $Q$ distribution measured at $0.9\ TeV$ for like-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the...

  • Table 13

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t13

    The $Q$ distribution measured at $7\ TeV$ for unlike-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the...

  • Table 14

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t14

    The $Q$ distribution measured at $7\ TeV$ for like-sign pairs for $p_{T} > 100\ MeV$ and $|\eta|<2.5$, renormalized to the...

  • Table 15

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t15

    The $R_{2}(Q)$ correlation function measured at $0.9\ TeV$ using unlike-charge particle reference sample for different $n_{ch}$ intervals $p_{T} > 100\...

  • Table 16

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t16

    The $R_{2}(Q)$ correlation function measured at $0.9\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals with multiplicity $n_{ch}...

  • Table 17

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t17

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different multiplicity intervals $n_{ch}$ with $p_{T}...

  • Table 18

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t18

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals with multiplicity $n_{ch}...

  • Table 19

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t19

    The $R_{2}(Q)$ correlation function measured at $7\ TeV\ HM$ using unlike-charge particle reference sample for different $n_{ch}$ intervals $p_{T} >...

  • Table 20

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t20

    The $R_{2}(Q)$ correlation function measured with $7\ TeV\ HM$ data using unlike-charge particle reference sample for different $k_{T}$ intervals with...

  • Table 21

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t21

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval...

  • Table 22

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t22

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval...

  • Table 23

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t23

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval...

  • Table 24

    Data from Auxiliary material

    10.17182/hepdata.70016.v1/t24

    The $R_{2}(Q)$ correlation function measured at $7\ TeV$ using unlike-charge particle reference sample for different $k_{T}$ intervals within multiplicity interval...

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