Abstract (data abstract)

The azimuthal correlation angle, $\Delta\phi$, between the scattered lepton and the leading jet in deep inelastic $e^{\pm}p$ scattering at HERA has been studied using data collected with the ZEUS detector at a centre-of-mass energy of $\sqrt{s} = 318 \;\mathrm{GeV}$, corresponding to an integrated luminosity of $326 \;\mathrm{pb}^{-1}$.A measurement of jet cross sections in the laboratory frame was made in a fiducial region corresponding to photon virtuality $10 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$, inelasticity $0.04 < y < 0.7$, outgoing lepton energy $E_e > 10 \;\mathrm{GeV}$, lepton polar angle $140^\circ < \theta_e < 180^\circ$, jet transverse momentum $2.5 \;\mathrm{GeV} < p_\mathrm{T,jet} < 30 \;\mathrm{GeV}$, and jet pseudorapidity $-1.5 < \eta_\mathrm{jet} < 1.8$.Jets were reconstructed using the $k_\mathrm{T}$ algorithm with the radius parameter $R = 1$.The leading jet in an event is defined as the jet that carries the highest $p_\mathrm{T,jet}$.Differential cross sections, $d\sigma/d\Delta\phi$, were measured as a function of the azimuthal correlation angle in various ranges of leading-jet transverse momentum, photon virtuality and jet multiplicity.Perturbative calculations at $\mathcal{O}(\alpha_{s}^2)$ accuracy successfully describe the data within the fiducial region, although a lower level of agreement is observed near $\Delta\phi \rightarrow \pi$ for events with high jet multiplicity, due to limitations of the perturbative approach in describing soft phenomena in QCD.The data are equally well described by Monte Carlo predictions that supplement leading-order matrix elements with parton showering.

Table 1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t1

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 2.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t2

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 2.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t3

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 2.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t4

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 3.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t5

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 3.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t6

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 3.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t7

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 4.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t8

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 4.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t9

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 4.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t10

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 5.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t11

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 5.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t12

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 5.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t13

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 6.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t14

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 6.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t15

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 6.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t16

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 7.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t17

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 7.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t18

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 7.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t19

Note: in the paper, uncertainties are given in relative terms. The HEPData table contains absolute numbers. The original data file,...
Table 8

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t20

QED correction factors for inclusive measurement, as estimated with RAPGAP.
Table 9.1.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t21

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 9.1.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t22

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 9.1.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t23

QED correction factors for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Table 9.2.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t24

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 9.2.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t25

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 9.2.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t26

QED correction factors for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Table 9.3.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t27

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 9.3.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t28

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 9.3.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t29

QED correction factors for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Table 10.1.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t30

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 10.1.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t31

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 10.1.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t32

QED correction factors for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Table 10.2.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t33

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 10.2.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t34

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 10.2.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t35

QED correction factors for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Table 10.3.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t36

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 1$, as estimated with RAPGAP.
Table 10.3.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t37

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 2$, as estimated with RAPGAP.
Table 10.3.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t38

QED correction factors for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$ and $N_{jet} \geq 3$, as estimated with RAPGAP.
Figure 13

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t39

The correlation matrix for the inclusive measurement. The azimuthal correlation angle $\Delta\phi$ of each lepton--leading-jet pair was assigned a bin...
Figure 14.1

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t40

The correlation matrix for $2.5 \;\mathrm{GeV} < p_{T,jet}^{lead} < 7 \;\mathrm{GeV}$. Other details are as in the caption to Fig....
Figure 14.2

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t41

The correlation matrix for $7 \;\mathrm{GeV} < p_{T,jet}^{lead} < 12 \;\mathrm{GeV}$. Other details are as in the caption to Fig....
Figure 14.3

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t42

The correlation matrix for $12 \;\mathrm{GeV} < p_{T,jet}^{lead} < 30 \;\mathrm{GeV}$. Other details are as in the caption to Fig....
Figure 14.4

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t43

The correlation matrix for $10 \;\mathrm{GeV}^{2} < Q^{2} < 50 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig....
Figure 14.5

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t44

The correlation matrix for $50 \;\mathrm{GeV}^{2} < Q^{2} < 100 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig....
Figure 14.6

https://arxiv.org/abs/2406.01430

10.17182/hepdata.153487.v1/t45

The correlation matrix for $100 \;\mathrm{GeV}^{2} < Q^{2} < 350 \;\mathrm{GeV}^{2}$. Other details are as in the caption to Fig....

Table 1

Table 2.1

Table 2.2

Table 2.3

Table 3.1

Table 3.2

Table 3.3

Table 4.1

Table 4.2

Table 4.3

Table 5.1

Table 5.2

Table 5.3

Table 6.1

Table 6.2

Table 6.3

Table 7.1

Table 7.2

Table 7.3

Table 8

Table 9.1.1

Table 9.1.2

Table 9.1.3

Table 9.2.1

Table 9.2.2

Table 9.2.3

Table 9.3.1

Table 9.3.2

Table 9.3.3

Table 10.1.1

Table 10.1.2

Table 10.1.3

Table 10.2.1

Table 10.2.2

Table 10.2.3

Table 10.3.1

Table 10.3.2

Table 10.3.3

Figure 13

Figure 14.1

Figure 14.2

Figure 14.3

Figure 14.4

Figure 14.5

Figure 14.6

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