T-even transverse momentum dependent gluon fragmentation functions in a spectator model. (English) Zbl 1523.81204
Summary: We present a model calculation of transverse momentum dependent (TMD) gluon fragmentation functions in both spin-1/2 and spin-0 hadrons. Our approach is based on the postulation that a time-like off-shell gluon can fragment into a hadron and a single spectator particle. So far, such spectator models have been restricted to TMD distribution functions of quarks and gluon as well TMD fragmentation function of quarks. The effective coupling between the gluon-hadron-spectator system is described by a vertex composed of two form factors. We obtain analytical expressions for the four T-even TMD fragmentation functions of the gluon. We also provide numerical results on the \(z\)-dependence and \(k_T\)-dependence of the fragmentation functions. Our analysis reveals the non-negligible impact of these fragmentation functions, which could potentially be explored in forthcoming experimental measurements.
MSC:
| 81V35 | Nuclear physics |
| 81V72 | Particle exchange symmetries in quantum theory (general) |
| 81U90 | Particle decays |
| 81V05 | Strong interaction, including quantum chromodynamics |
| 53D20 | Momentum maps; symplectic reduction |
| 05C07 | Vertex degrees |
| 81P15 | Quantum measurement theory, state operations, state preparations |
References:
| [1] | Gross, D. J.; Wilczek, F., Phys. Rev. Lett., 30 (1973) |
| [2] | Politzer, H. D., Phys. Rev. Lett., 30 (1973) |
| [3] | Collins, J. C.; Soper, D. E., Nucl. Phys. B, 194, 445-492 (1982) |
| [4] | Collins, J. C.; Soper, D. E.; Sterman, G. F., Adv. Ser. Dir. High Energy Phys., 5 (1989) |
| [5] | Metz, A.; Vossen, A., Prog. Part. Nucl. Phys., 91 (2016) |
| [6] | Ji, X., Phys. Rev. Lett., 110, Article 262002 pp. (2013) |
| [7] | Ji, X., Sci. China, Phys. Mech. Astron., 57, 1407-1412 (2014) |
| [8] | Moffat, E.; Jefferson Lab Angular Momentum, J. A.M., Phys. Rev. D, 104, 1, Article 016015 pp. (2021) |
| [9] | Khalek, R. A.; Bertone, V.; Nocera, E. R., Phys. Rev. D, 104, 3, Article 034007 pp. (2021) |
| [10] | Bailey, S.; Cridge, T.; Harland-Lang, L. A.; Martin, A. D.; Thorne, R. S., Eur. Phys. J. C, 81, 4, 341 (2021) |
| [11] | Ball, R. D., Eur. Phys. J. C, 82, 5, 428 (2022) |
| [12] | Bertone, V., Eur. Phys. J. C, 78, 8, 651 (2018) |
| [13] | Abdul Khalek, R.; Bertone, V.; Khoudli, A.; Nocera, E. R., Phys. Lett. B, 834, Article 137456 pp. (2022) |
| [14] | Martin, A. D.; Stirling, W. J.; Thorne, R. S.; Watt, G., Eur. Phys. J. C, 63, 189-285 (2009) · Zbl 1369.81126 |
| [15] | Buckley, A.; Ferrando, J.; Lloyd, S.; Nordström, K.; Page, B.; Rüfenacht, M.; Schönherr, M.; Watt, G., Eur. Phys. J. C, 75, 132 (2015) |
| [16] | Ball, R. D., Eur. Phys. J. C, 77, 10, 663 (2017) |
| [17] | Hou, T. J.; Gao, J.; Hobbs, T. J.; Xie, K.; Dulat, S.; Guzzi, M.; Huston, J.; Nadolsky, P.; Pumplin, J.; Schmidt, C., Phys. Rev. D, 103, 1, Article 014013 pp. (2021) |
| [18] | Kretzer, S., Phys. Rev. D, 62, Article 054001 pp. (2000) |
| [19] | de Florian, D.; Sassot, R.; Stratmann, M., Phys. Rev. D, 75, Article 114010 pp. (2007) |
| [20] | de Florian, D.; Sassot, R.; Stratmann, M., Phys. Rev. D, 76, Article 074033 pp. (2007) |
| [21] | Bertone, V., Eur. Phys. J. C, 77, 8, 516 (2017) |
| [22] | Bacchetta, A.; Diehl, M.; Goeke, K.; Metz, A.; Mulders, P. J.; Schlegel, M., J. High Energy Phys., 02, Article 093 pp. (2007) |
| [23] | Mulders, P. J.; Rodrigues, J., Phys. Rev. D, 63 (2001) |
| [24] | Jakob, R.; Mulders, P. J.; Rodrigues, J., Nucl. Phys. A, 626, 937-965 (1997) |
| [25] | Brodsky, S. J.; Hwang, D. S.; Schmidt, I., Phys. Lett. B, 530, 99-107 (2002) |
| [26] | Gamberg, L. P.; Goldstein, G. R.; Oganessyan, K. A., Phys. Rev. D, 67, Article 071504 pp. (2003) |
| [27] | Bacchetta, A.; Schaefer, A.; Yang, J. J., Phys. Lett. B, 578, 109-118 (2004) |
| [28] | Bacchetta, A.; Conti, F.; Radici, M., Phys. Rev. D, 78 (2008) |
| [29] | Bacchetta, A.; Radici, M.; Conti, F.; Guagnelli, M., Eur. Phys. J. A, 45, 373-388 (2010) |
| [30] | Lu, Z.; Ma, B. Q., Phys. Rev. D, 70, Article 094044 pp. (2004) |
| [31] | Meissner, S.; Metz, A.; Schlegel, M.; Goeke, K., J. High Energy Phys., 08, Article 038 pp. (2008) |
| [32] | Ma, Z. L.; Zhu, J. Q.; Lu, Z., Phys. Rev. D, 101, 11, Article 114005 pp. (2020) |
| [33] | Bacchetta, A.; Gamberg, L. P.; Goldstein, G. R.; Mukherjee, A., Phys. Lett. B, 659, 234-243 (2008) |
| [34] | Lu, Z.; Ma, B. Q., Phys. Rev. D, 94, 9, Article 094022 pp. (2016) |
| [35] | Bacchetta, A.; Celiberto, F. G.; Radici, M.; Taels, P., Eur. Phys. J. C, 80 (2020) |
| [36] | Bacchetta, A.; Celiberto, F. G.; Radici, M., PoS, EPS-HEP2021, 376 (2022) |
| [37] | Bacchetta, A.; Celiberto, F. G.; Radici, M., PoS, PANIC2021, 378 (2022) |
| [38] | Dominguez, F.; Xiao, B. W.; Yuan, F., Phys. Rev. Lett., 106, Article 022301 pp. (2011) |
| [39] | Dominguez, F.; Marquet, C.; Xiao, B. W.; Yuan, F., Phys. Rev. D, 83, Article 105005 pp. (2011) |
| [40] | Bomhof, C. J.; Mulders, P. J.; Pijlman, F., Eur. Phys. J. C, 47, 147-162 (2006) |
| [41] | Metz, A., Phys. Lett. B, 549, 139-145 (2002) |
| [42] | Collins, J. C.; Metz, A., Phys. Rev. Lett., 93, Article 252001 pp. (2004) |
| [43] | Amrath, D.; Bacchetta, A.; Metz, A., Phys. Rev. D, 71, Article 114018 pp. (2005) |
| [44] | Goeke, K.; Meissner, S.; Metz, A.; Schlegel, M., Phys. Lett. B, 637 (2006) |
| [45] | Collins, J., Camb. Monogr. Part. Phys. Nucl. Phys. Cosmol., vol. 32, 1-624 (2011), Cambridge University Press, 2013 |
| [46] | Celiberto, F. G., Eur. Phys. J. C, 81, 8, 691 (2021) |
| [47] | Celiberto, F. G.; Fucilla, M.; Ivanov, D. Y.; Papa, A., Eur. Phys. J. C, 81, 8, 780 (2021) |
| [48] | Albino, S.; Kniehl, B. A.; Kramer, G., Nucl. Phys. B, 803 (2008) |
| [49] | Curci, G.; Furmanski, W.; Petronzio, R., Nucl. Phys. B, 175, 27-92 (1980) |
| [50] | Furmanski, W.; Petronzio, R., Phys. Lett. B, 97, 437-442 (1980) |
| [51] | Altarelli, G.; Forte, S.; Ridolfi, G., Nucl. Phys. B, 534, 277-296 (1998) |
| [52] | Candido, A.; Forte, S.; Hekhorn, F., J. High Energy Phys., 11, Article 129 pp. (2020) |
| [53] | Collins, J.; Rogers, T. C.; Sato, N., Phys. Rev. D, 105, 7, Article 076010 pp. (2022) |
| [54] | Bacchetta, A.; Boglione, M.; Henneman, A.; Mulders, P. J., Phys. Rev. Lett., 85, 712-715 (2000) |
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