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Polarized jet fragmentation functions. (English) Zbl 1473.81181

Summary: We develop the theoretical framework needed to study the distribution of hadrons with general polarization inside jets, with and without transverse momentum measured with respect to the standard jet axis. The key development in this paper, referred to as “polarized jet fragmentation functions”, opens up new opportunities to study both collinear and transverse momentum dependent (TMD) fragmentation functions. As two examples of the developed framework, we study longitudinally polarized collinear \(\Lambda\) and transversely polarized TMD \(\Lambda\) production inside jets in both \(pp\) and \(ep\) collisions. We find that both observables have high potential in constraining spin-dependent fragmentation functions with sizeable asymmetries predicted, in particular, at the future Electron-Ion Collider.

MSC:

81U35 Inelastic and multichannel quantum scattering
81V05 Strong interaction, including quantum chromodynamics
81R25 Spinor and twistor methods applied to problems in quantum theory
81T15 Perturbative methods of renormalization applied to problems in quantum field theory

References:

[1] Procura, M.; Stewart, I. W., Phys. Rev. D. Phys. Rev. D, Phys. Rev. D, 83, Article 039902 pp. (2011), Erratum:
[2] Jain, A.; Procura, M.; Waalewijn, W. J., J. High Energy Phys., 05, Article 035 pp. (2011) · Zbl 1296.81141
[3] Jain, A.; Procura, M.; Waalewijn, W. J., J. High Energy Phys., 04, Article 132 pp. (2012)
[4] Chien, Y.-T.; Kang, Z.-B.; Ringer, F.; Vitev, I.; Xing, H., J. High Energy Phys., 05, Article 125 pp. (2016)
[5] Arleo, F.; Fontannaz, M.; Guillet, J.-P.; Nguyen, C. L., J. High Energy Phys., 04, Article 147 pp. (2014)
[6] Kaufmann, T.; Mukherjee, A.; Vogelsang, W., Phys. Rev. D, 92, Article 054015 pp. (2015)
[7] Kang, Z.-B.; Ringer, F.; Vitev, I., J. High Energy Phys., 11, Article 155 pp. (2016)
[8] Dai, L.; Kim, C.; Leibovich, A. K., Phys. Rev. D, 94, Article 114023 pp. (2016)
[9] Kang, Z.-B.; Lee, K.; Terry, J.; Xing, H., Phys. Lett. B, 798, Article 134978 pp. (2019)
[10] Kang, Z.-B.; Liu, X.; Ringer, F.; Xing, H., J. High Energy Phys., 11, Article 068 pp. (2017)
[11] Bacchetta, A.; Mulders, P. J., Phys. Rev. D, 62, Article 114004 pp. (2000)
[12] Mulders, P. J.; Rodrigues, J., Phys. Rev. D, 63, Article 094021 pp. (2001)
[13] Metz, A.; Vossen, A., Prog. Part. Nucl. Phys., 91, 136 (2016)
[14] Neill, D.; Scimemi, I.; Waalewijn, W. J., J. High Energy Phys., 04, Article 020 pp. (2017)
[15] Neill, D.; Papaefstathiou, A.; Waalewijn, W. J.; Zoppi, L., J. High Energy Phys., 01, Article 067 pp. (2019)
[16] Makris, Y.; Neill, D.; Vaidya, V., J. High Energy Phys., 07, Article 167 pp. (2018)
[17] Makris, Y.; Vaidya, V., J. High Energy Phys., 10, Article 019 pp. (2018)
[18] Gutierrez-Reyes, D.; Makris, Y.; Vaidya, V.; Scimemi, I.; Zoppi, L., J. High Energy Phys., 08, Article 161 pp. (2019)
[19] Neill, D.; Ringer, F. (2020)
[20] Kaufmann, T.; Liu, X.; Mukherjee, A.; Ringer, F.; Vogelsang, W., J. High Energy Phys., 02, Article 040 pp. (2020)
[21] Bain, R., J. High Energy Phys., 06, Article 121 pp. (2016)
[22] Anderle, D. P.; Kaufmann, T.; Stratmann, M.; Ringer, F.; Vitev, I., Phys. Rev. D, 96, Article 034028 pp. (2017)
[23] Kang, Z.-B.; Qiu, J.-W.; Ringer, F.; Xing, H.; Zhang, H., Phys. Rev. Lett., 119, Article 032001 pp. (2017)
[24] Bain, R.; Dai, L.; Leibovich, A.; Makris, Y.; Mehen, T., Phys. Rev. Lett., 119, Article 032002 pp. (2017)
[25] Kaufmann, T.; Mukherjee, A.; Vogelsang, W., Phys. Rev. D, 93, Article 114021 pp. (2016)
[26] Aaboud, M., Phys. Rev. Lett., 123, Article 042001 pp. (2019)
[27] Aad, G., Phys. Rev. D, 85, Article 052005 pp. (2012)
[28] Aad, G., Eur. Phys. J. C, 71, 1795 (2011)
[29] Chatrchyan, S., J. High Energy Phys., 10, Article 087 pp. (2012)
[30] Chatrchyan, S., Phys. Rev. C, 90, Article 024908 pp. (2014)
[31] Aad, G., Phys. Lett. B, 739, 320 (2014)
[32] Aaboud, M., Nucl. Phys. A, 978, 65 (2018)
[33] Aaij, R., Phys. Rev. Lett., 118, Article 192001 pp. (2017)
[34] Acharya, S., J. High Energy Phys., 08, Article 133 pp. (2019)
[35] Aaij, R., Phys. Rev. Lett., 123, Article 232001 pp. (2019)
[36] Acharya, S., Phys. Rev. D, 99, Article 012016 pp. (2019)
[37] Aad, G., Phys. Rev. D, 100, Article 052011 pp. (2019)
[38] Sirunyan, A. M., Phys. Lett. B, 804, Article 135409 pp. (2020)
[39] Adamczyk, L., Phys. Rev. D, 97, Article 032004 pp. (2018)
[40] Adamczyk, L., Phys. Lett. B, 780, 332 (2018)
[41] Accardi, A., Eur. Phys. J. A, 52, 268 (2016)
[42] Aschenauer, E., Rep. Prog. Phys., 82, Article 024301 pp. (2019)
[43] Liu, X.; Ringer, F.; Vogelsang, W.; Yuan, F., Phys. Rev. Lett., 122, Article 192003 pp. (2019)
[44] Arratia, M.; Song, Y.; Ringer, F.; Jacak, B. (2019)
[45] Yuan, F., Phys. Rev. Lett., 100, Article 032003 pp. (2008)
[46] D’Alesio, U.; Murgia, F.; Pisano, C., Phys. Rev. D, 83, Article 034021 pp. (2011)
[47] D’Alesio, U.; Gamberg, L.; Kang, Z.-B.; Murgia, F.; Pisano, C., Phys. Lett. B, 704, 637 (2011)
[48] Kang, Z.-B.; Prokudin, A.; Ringer, F.; Yuan, F., Phys. Lett. B, 774, 635 (2017)
[49] D’Alesio, U.; Murgia, F.; Pisano, C., Phys. Lett. B, 773, 300 (2017)
[50] Bauer, C. W.; Fleming, S.; Luke, M. E., Phys. Rev. D, 63, Article 014006 pp. (2000)
[51] Bauer, C. W.; Fleming, S.; Pirjol, D.; Stewart, I. W., Phys. Rev. D, 63, Article 114020 pp. (2001)
[52] Bauer, C. W.; Stewart, I. W., Phys. Lett. B, 516, 134 (2001) · Zbl 0971.81569
[53] Bauer, C. W.; Pirjol, D.; Stewart, I. W., Phys. Rev. D, 65, Article 054022 pp. (2002)
[54] Meissner, S.; Metz, A.; Goeke, K., Phys. Rev. D, 76, Article 034002 pp. (2007)
[55] Diehl, M., Eur. Phys. J. C, 19, 485 (2001)
[56] Diehl, M., Phys. Rep., 388, 41 (2003)
[57] Goeke, K.; Metz, A.; Schlegel, M., Phys. Lett. B, 618, 90 (2005)
[58] Mulders, P. J.; Tangerman, R. D., Nucl. Phys. B. Nucl. Phys. B, Nucl. Phys. B, 484, 538 (1997), Erratum:
[59] Altarelli, G.; Parisi, G., Nucl. Phys. B, 126, 298 (1977)
[60] Stratmann, M.; Vogelsang, W., Nucl. Phys. B, 496, 41 (1997)
[61] Z.-B. Kang, K. Lee, F. Zhao, in progress (2020).
[62] Cacciari, M.; Salam, G. P.; Soyez, G., J. High Energy Phys., 04, Article 063 pp. (2008) · Zbl 1369.81100
[63] Buffing, M. G.; Kang, Z.-B.; Lee, K.; Liu, X. (2018)
[64] Aidala, C. A.; Bass, S. D.; Hasch, D.; Mallot, G. K., Rev. Mod. Phys., 85, 655 (2013)
[65] de Florian, D.; Stratmann, M.; Vogelsang, W., Phys. Rev. D, 57, 5811 (1998)
[66] Burkardt, M.; Jaffe, R. L., Phys. Rev. Lett., 70, 2537 (1993)
[67] Buskulic, D., Phys. Lett. B, 374, 319 (1996)
[68] de Florian, D.; Stratmann, M.; Vogelsang, W., Phys. Rev. Lett., 81, 530 (1998)
[69] Xu, Q.-h., AIP Conf. Proc., 915, 428 (2007)
[70] Abelev, B. I., Phys. Rev. D, 80, Article 111102 pp. (2009)
[71] Adam, J., Phys. Rev. D, 98, Article 112009 pp. (2018)
[72] Ball, R. D., Nucl. Phys. B, 874, 36 (2013)
[73] Ball, R. D., Nucl. Phys. B, 867, 244 (2013)
[74] Guan, Y., Phys. Rev. Lett., 122, Article 042001 pp. (2019)
[75] Callos, D.; Kang, Z.-B.; Terry, J. (2020)
[76] D’Alesio, U.; Murgia, F.; Zaccheddu, M. (2020)
[77] Boer, D., PoS, DIS2010, 215 (2010)
[78] Boer, D.; Bomhof, C.; Hwang, D.; Mulders, P., Phys. Lett. B, 659, 127 (2008)
[79] Collins, J. C.; Soper, D. E.; Sterman, G. F., Nucl. Phys. B, 250, 199 (1985)
[80] Collins, J., Foundations of Perturbative QCD, vol. 32 (2013), Cambridge University Press
[81] Kang, Z.-B.; Prokudin, A.; Sun, P.; Yuan, F., Phys. Rev. D, 93, Article 014009 pp. (2016)
[82] Sun, P.; Isaacson, J.; Yuan, C. P.; Yuan, F., Int. J. Mod. Phys. A, 33, Article 1841006 pp. (2018)
[83] Albino, S.; Kniehl, B. A.; Kramer, G., Nucl. Phys. B, 803, 42 (2008)
[84] Adare, A. (2015)
[85] Aad, G., Phys. Rev. D, 91, Article 032004 pp. (2015)
[86] Aschenauer, E.-C.; Lee, K.; Page, B.; Ringer, F., Phys. Rev. D, 101, Article 054028 pp. (2020)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.