Measurements of the groomed and ungroomed jet angularities in pp collisions at $\sqrt{s} = 5.02$ TeV

The ALICE collaboration
JHEP 05 (2022) 061, 2022.

Abstract
The jet angularities are a class of jet substructure observables which characterize the angular and momentum distribution of particles within jets. These observables are sensitive to momentum scales ranging from perturbative hard scatterings to nonperturbative fragmentation into final-state hadrons. We report measurements of several infrared- and collinear-safe jet angularities in pp collisions at $\sqrt{s} = 5.02$ TeV with the ALICE detector. Jets are reconstructed using charged particle tracks at midrapidity. The anti-$k_{\rm T}$ algorithm is used with jet resolution parameters $R = 0.2$ and $R = 0.4$ for several transverse momentum $p_{\rm T}^{\text{ch jet}}$ intervals in the 20$-$100 GeV/$c$ range. Using the jet grooming algorithm Soft Drop, the sensitivity to softer, wide-angle processes, as well as the underlying event, can be reduced in a way which is well-controlled in theoretical calculations. We report the ungroomed jet angularities, $\lambda_{\alpha}$, and groomed jet angularities, $\lambda_{\alpha\text{ , g}}$, to investigate the interplay between perturbative and nonperturbative effects at low jet momenta. Various angular exponent parameters $\alpha = 1$, 1.5, 2, and 3 are used to systematically vary the sensitivity of the observable to collinear and soft radiation. Results are compared to analytical predictions at next-to-leading-logarithmic accuracy, which provide a generally good description of the data in the perturbative regime but exhibit discrepancies in the nonperturbative regime. Moreover, these measurements serve as a baseline for future ones in heavy-ion collisions by providing new insight into the interplay between perturbative and nonperturbative effects in the angular and momentum substructure of jets. They supply crucial guidance on the selection of jet resolution parameter, jet transverse momentum and angular scaling variable for jet quenching studies.

  • Table 1

    Figure 1. upper left

    10.17182/hepdata.129149.v1/t1

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 2

    Figure 1. upper left

    10.17182/hepdata.129149.v1/t2

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 3

    Figure 1. upper left

    10.17182/hepdata.129149.v1/t3

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 4

    Figure 1. upper left

    10.17182/hepdata.129149.v1/t4

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 5

    Figure 3. upper left

    10.17182/hepdata.129149.v1/t5

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 6

    Figure 3. upper left

    10.17182/hepdata.129149.v1/t6

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 7

    Figure 3. upper left

    10.17182/hepdata.129149.v1/t7

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 8

    Figure 3. upper left

    10.17182/hepdata.129149.v1/t8

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 9

    Figure 1. upper right

    10.17182/hepdata.129149.v1/t9

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 10

    Figure 1. upper right

    10.17182/hepdata.129149.v1/t10

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 11

    Figure 1. upper right

    10.17182/hepdata.129149.v1/t11

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 12

    Figure 1. upper right

    10.17182/hepdata.129149.v1/t12

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 13

    Figure 3. upper right

    10.17182/hepdata.129149.v1/t13

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 14

    Figure 3. upper right

    10.17182/hepdata.129149.v1/t14

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 15

    Figure 3. upper right

    10.17182/hepdata.129149.v1/t15

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 16

    Figure 3. upper right

    10.17182/hepdata.129149.v1/t16

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 17

    Figure 1. lower left

    10.17182/hepdata.129149.v1/t17

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 18

    Figure 1. lower left

    10.17182/hepdata.129149.v1/t18

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 19

    Figure 1. lower left

    10.17182/hepdata.129149.v1/t19

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 20

    Figure 1. lower left

    10.17182/hepdata.129149.v1/t20

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 21

    Figure 3. lower left

    10.17182/hepdata.129149.v1/t21

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 22

    Figure 3. lower left

    10.17182/hepdata.129149.v1/t22

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 23

    Figure 3. lower left

    10.17182/hepdata.129149.v1/t23

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 24

    Figure 3. lower left

    10.17182/hepdata.129149.v1/t24

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 25

    Figure 1. lower right

    10.17182/hepdata.129149.v1/t25

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 26

    Figure 1. lower right

    10.17182/hepdata.129149.v1/t26

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 27

    Figure 1. lower right

    10.17182/hepdata.129149.v1/t27

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 28

    Figure 1. lower right

    10.17182/hepdata.129149.v1/t28

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 29

    Figure 3. lower right

    10.17182/hepdata.129149.v1/t29

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 30

    Figure 3. lower right

    10.17182/hepdata.129149.v1/t30

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 31

    Figure 3. lower right

    10.17182/hepdata.129149.v1/t31

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 32

    Figure 3. lower right

    10.17182/hepdata.129149.v1/t32

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 33

    Figure 2. upper left

    10.17182/hepdata.129149.v1/t33

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 34

    Figure 2. upper left

    10.17182/hepdata.129149.v1/t34

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 35

    Figure 2. upper left

    10.17182/hepdata.129149.v1/t35

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 36

    Figure 2. upper left

    10.17182/hepdata.129149.v1/t36

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 37

    Figure 4. upper left

    10.17182/hepdata.129149.v1/t37

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 38

    Figure 4. upper left

    10.17182/hepdata.129149.v1/t38

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 39

    Figure 4. upper left

    10.17182/hepdata.129149.v1/t39

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 40

    Figure 4. upper left

    10.17182/hepdata.129149.v1/t40

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $20<p_{\mathrm{T}}^{\mathrm{ch jet}}<40$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 41

    Figure 2. upper right

    10.17182/hepdata.129149.v1/t41

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 42

    Figure 2. upper right

    10.17182/hepdata.129149.v1/t42

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 43

    Figure 2. upper right

    10.17182/hepdata.129149.v1/t43

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 44

    Figure 2. upper right

    10.17182/hepdata.129149.v1/t44

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 45

    Figure 4. upper right

    10.17182/hepdata.129149.v1/t45

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 46

    Figure 4. upper right

    10.17182/hepdata.129149.v1/t46

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 47

    Figure 4. upper right

    10.17182/hepdata.129149.v1/t47

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 48

    Figure 4. upper right

    10.17182/hepdata.129149.v1/t48

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $40<p_{\mathrm{T}}^{\mathrm{ch jet}}<60$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 49

    Figure 2. lower left

    10.17182/hepdata.129149.v1/t49

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 50

    Figure 2. lower left

    10.17182/hepdata.129149.v1/t50

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 51

    Figure 2. lower left

    10.17182/hepdata.129149.v1/t51

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 52

    Figure 2. lower left

    10.17182/hepdata.129149.v1/t52

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 53

    Figure 4. lower left

    10.17182/hepdata.129149.v1/t53

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 54

    Figure 4. lower left

    10.17182/hepdata.129149.v1/t54

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 55

    Figure 4. lower left

    10.17182/hepdata.129149.v1/t55

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 56

    Figure 4. lower left

    10.17182/hepdata.129149.v1/t56

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $60<p_{\mathrm{T}}^{\mathrm{ch jet}}<80$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 57

    Figure 2. lower right

    10.17182/hepdata.129149.v1/t57

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 58

    Figure 2. lower right

    10.17182/hepdata.129149.v1/t58

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 1.5$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 59

    Figure 2. lower right

    10.17182/hepdata.129149.v1/t59

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 2$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 60

    Figure 2. lower right

    10.17182/hepdata.129149.v1/t60

    Jet angularity $\lambda_{\alpha}$ for $\alpha = 3$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$. For the "trkeff" and "generator" systematic uncertainty sources, the signed systematic...

  • Table 61

    Figure 4. lower right

    10.17182/hepdata.129149.v1/t61

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 62

    Figure 4. lower right

    10.17182/hepdata.129149.v1/t62

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 1.5$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 63

    Figure 4. lower right

    10.17182/hepdata.129149.v1/t63

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 2$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

  • Table 64

    Figure 4. lower right

    10.17182/hepdata.129149.v1/t64

    Groomed jet angularity $\lambda_{\alpha,g}$ for $\alpha = 3$. $80<p_{\mathrm{T}}^{\mathrm{ch jet}}<100$, Soft Drop $z_{\mathrm{cut}}=0.2, \beta=0$. Note: The first bin corresponds to...

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