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Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon

  • In this paper, we investigate the decay of the Higgs boson to J/ψ(Υ) plus a photon based on NRQCD factorization. For the direct process, we calculate the decay width up to QCD NLO. We find that the decay width for process H→J/ψ(Υ)+γ direct production at the LO is significantly reduced by the NLO QCD corrections. For the indirect process, we calculate the H→γ*γ with virtual γ substantially decaying to J/ψ(Υ), including all the SM Feynman diagrams. The decay width of indirect production is much larger than the direct decay width. Since it is very clean in experiment, the H→J/ψ(Υ)+γ decay could be observable at a 14 TeV LHC and it also offers a new way to probe the Yukawa coupling and New Physics at the LHC.
  • [1] Atlas collaboration, ATLAS-CONF-2012-019. CMS Collaboration, CMS-PAS-HIG-12-008
    [2] ATLAS Collaboration, G. Aad et al, Eur. Phys. J. C, 71:1728(2011)
    [3] CMS Collaboration, Phys. Lett. B, 699:25(2011)
    [4] ATLAS and CMS Collaborations, ATLAS-CONF-2011-157, CMS PAS HIG-11-023
    [5] ATLAS Collaboration, ATLAS-CONF-2013-034
    [6] CMS Collaboration, CMS-PAS-HIG-13-005
    [7] G.T. Bodwin, E. Braaten. and G.P. Lepage, Phys. Rev. D, 51:1125(1995), erratum ibid. D, 55:5853(1997)
    [8] Zhi-Guo He, Ying Fan, and Kuang-Ta Chao, Phys. Rev. Lett., 101:112001(2008)[arXiv:0802.1849]
    [9] Ying Fan, Zhi-Guo He, Yan-Qing Ma, and Kuang-Ta Chao, Phys. Rev. D, 80:014001(2009)[arXiv:0903.4572]
    [10] E. Braaten and S. Fleming, Phys. Rev. Lett., 74:3327(1995)[hep-ph/9411365]
    [11] Yan-Qing Ma, Kai Wang, and Kuang-Ta Chao, Phys. Rev. Lett., 108:242004(2012)[arXiv:1009.3655]
    [12] Kuang-Ta Chao, Yan-Qing Ma, Hua-Sheng Shao, Kai Wang, and Yu-Jie Zhang, Phys. Rev. Lett., 106:042002(2011)[arXiv:1201.2675]
    [13] M. Butenschoen and B. A. Kniehl, Phy. Rev. D, 84:051501(2011)[arXiv:1201.3862]
    [14] G. T. Bodwin, F. Petriello, S. Stoynev, and M. Velasco, Phys. Rev. D, 88:5, 053003(2013)[arXiv:1306.5770[hep-ph]]
    [15] C. Delaunay, T. Golling, G. Perez, and Y. Soreq, Phys. Rev. D, 89:3, 033014(2014)[arXiv:1310.7029[hep-ph]]
    [16] A. L. Kagan, G. Perez, F. Petriello, Y. Soreq, S. Stoynev, and J. Zupan, Phys. Rev. Lett., 114:10, 101802(2015)[arXiv:1406.1722[hep-ph]]
    [17] D. N. Gao, Phys. Lett. B, 737:366(2014)[arXiv:1406.7102[hep-ph]]
    [18] T. Modak and R. Srivastava, arXiv:1411.2210[hep-ph]
    [19] P. Colangelo, F. De Fazio, and P. Santorelli, Phys. Lett. B, 760:335(2016) doi:10.1016/j.physletb.2016.07.002[arXiv:1602.01372[hep-ph]]
    [20] G. Aad et al (ATLAS Collaboration), arXiv:1501.03276[hep-ex]
    [21] Y. J. Zhang, Y. J. Gao, and K. T. Chao, Phys. Rev. Lett., 96:092001(2006); Y. J. Zhang and K. T. Chao, Phys. Rev. Lett., 98:092003(2007); B. Gong and J. X. Wang, Phys. Rev. D, 77:054028(2008); 80, 054015(2009); Phys. Rev. Lett., 100:181803(2008); Y. J. Zhang, Y. Q. Ma, and K. T. Chao, Phys. Rev. D, 78:054006(2008)
    [22] M. Kramer, Nucl. Phys. B, 459:3(1996); R. Li and J.X. Wang, Phys. Lett. B, 672:51(2009)
    [23] J. Campbell, F. Maltoni, and F. Tramontano, Phys. Rev. Lett., 98:252002(2007); B. Gong and J. X. Wang, Phys. Rev. Lett., 100:232001(2008); Phys. Rev. D, 78:074011(2008); B. Gong, X. Q. Li, and J. X. Wang Phys. Lett. B, 673:197(2009); P. Artoisenet, J. Campbell, J. P. Lansberg, F. Maltoni, and F. Tramontano, Phys. Rev. Lett., 101:152001(2008)
    [24] A. Petrelli, M. Cacciari, M. Greco, F. Maltoni, and M.L. Mangano, 245(1998)[hep-ph/9707223]
    [25] R. K. Ellis and G. Zanderighi, JHEP, 0802:002(2008)[arXiv:0712.1851]
    [26] G.'t Hooft and M. Veltman, Nucl. Phys. B, 153:365(1979)
    [27] A. Denner, U. Nierste, and R. Scharf, Nucl. Phys. B, 367:637(1991)
    [28] A. Denner and S. Dittmaier, Nucl. Phys. B, 658:175(2003)
    [29] M. Kramer, Nucl. Phys. B, 459:3(1996)
    [30] M. Spira, A. Djouadi, D. Graudenz, and P. M. Zerwas, Nucl. Phys. B, 453:17(1995)[hep-ph/9504378]
    [31] H. Q. Zheng and D. D. Wu, Phys. Rev., 42:3760(1990); A. Djouadi, M. Spira, J. J. van der Bij, and P. M. Zerwas, Phys. Lett. B, 257:187(1991); S. Dawson and R. P. Kauffman, Phys. Rev. D, 47:1264(1993); K. Melnikov and O. I. Yakovlev, Phys. Lett. B, 312:179(1993)[hep-ph/9302281]; S. Actis, G. Passarino, C. Sturm, and S. Uccirati, Nucl. Phys. B, 811:182(2009)[arXiv:0809.3667[hep-ph]]
    [32] K.A. Olive et al (Particle Data Group), Chin. Phys. C, 38:090001(2014)
    [33] Butenschoen M, Kniehl B A, Nucl. Phys. B, Proceedings Supplement XX (2012) 1-11
    [34] https://twiki.cern.ch/twiki/bin/view/LHCPhysics/ LHCHXSWG
    [35] G. T. Bodwin, H. S. Chung, J. H. Ee, J. Lee, and F. Petriello, Phys. Rev. D, 90:113010(2014)[arXiv:1407.6695[hep-ph]]
    [36] T. Hahn and M. Perez-Victoria, Comput. Phys. Commun., 118:153(1999)[hep-ph/9807565]
  • [1] Atlas collaboration, ATLAS-CONF-2012-019. CMS Collaboration, CMS-PAS-HIG-12-008
    [2] ATLAS Collaboration, G. Aad et al, Eur. Phys. J. C, 71:1728(2011)
    [3] CMS Collaboration, Phys. Lett. B, 699:25(2011)
    [4] ATLAS and CMS Collaborations, ATLAS-CONF-2011-157, CMS PAS HIG-11-023
    [5] ATLAS Collaboration, ATLAS-CONF-2013-034
    [6] CMS Collaboration, CMS-PAS-HIG-13-005
    [7] G.T. Bodwin, E. Braaten. and G.P. Lepage, Phys. Rev. D, 51:1125(1995), erratum ibid. D, 55:5853(1997)
    [8] Zhi-Guo He, Ying Fan, and Kuang-Ta Chao, Phys. Rev. Lett., 101:112001(2008)[arXiv:0802.1849]
    [9] Ying Fan, Zhi-Guo He, Yan-Qing Ma, and Kuang-Ta Chao, Phys. Rev. D, 80:014001(2009)[arXiv:0903.4572]
    [10] E. Braaten and S. Fleming, Phys. Rev. Lett., 74:3327(1995)[hep-ph/9411365]
    [11] Yan-Qing Ma, Kai Wang, and Kuang-Ta Chao, Phys. Rev. Lett., 108:242004(2012)[arXiv:1009.3655]
    [12] Kuang-Ta Chao, Yan-Qing Ma, Hua-Sheng Shao, Kai Wang, and Yu-Jie Zhang, Phys. Rev. Lett., 106:042002(2011)[arXiv:1201.2675]
    [13] M. Butenschoen and B. A. Kniehl, Phy. Rev. D, 84:051501(2011)[arXiv:1201.3862]
    [14] G. T. Bodwin, F. Petriello, S. Stoynev, and M. Velasco, Phys. Rev. D, 88:5, 053003(2013)[arXiv:1306.5770[hep-ph]]
    [15] C. Delaunay, T. Golling, G. Perez, and Y. Soreq, Phys. Rev. D, 89:3, 033014(2014)[arXiv:1310.7029[hep-ph]]
    [16] A. L. Kagan, G. Perez, F. Petriello, Y. Soreq, S. Stoynev, and J. Zupan, Phys. Rev. Lett., 114:10, 101802(2015)[arXiv:1406.1722[hep-ph]]
    [17] D. N. Gao, Phys. Lett. B, 737:366(2014)[arXiv:1406.7102[hep-ph]]
    [18] T. Modak and R. Srivastava, arXiv:1411.2210[hep-ph]
    [19] P. Colangelo, F. De Fazio, and P. Santorelli, Phys. Lett. B, 760:335(2016) doi:10.1016/j.physletb.2016.07.002[arXiv:1602.01372[hep-ph]]
    [20] G. Aad et al (ATLAS Collaboration), arXiv:1501.03276[hep-ex]
    [21] Y. J. Zhang, Y. J. Gao, and K. T. Chao, Phys. Rev. Lett., 96:092001(2006); Y. J. Zhang and K. T. Chao, Phys. Rev. Lett., 98:092003(2007); B. Gong and J. X. Wang, Phys. Rev. D, 77:054028(2008); 80, 054015(2009); Phys. Rev. Lett., 100:181803(2008); Y. J. Zhang, Y. Q. Ma, and K. T. Chao, Phys. Rev. D, 78:054006(2008)
    [22] M. Kramer, Nucl. Phys. B, 459:3(1996); R. Li and J.X. Wang, Phys. Lett. B, 672:51(2009)
    [23] J. Campbell, F. Maltoni, and F. Tramontano, Phys. Rev. Lett., 98:252002(2007); B. Gong and J. X. Wang, Phys. Rev. Lett., 100:232001(2008); Phys. Rev. D, 78:074011(2008); B. Gong, X. Q. Li, and J. X. Wang Phys. Lett. B, 673:197(2009); P. Artoisenet, J. Campbell, J. P. Lansberg, F. Maltoni, and F. Tramontano, Phys. Rev. Lett., 101:152001(2008)
    [24] A. Petrelli, M. Cacciari, M. Greco, F. Maltoni, and M.L. Mangano, 245(1998)[hep-ph/9707223]
    [25] R. K. Ellis and G. Zanderighi, JHEP, 0802:002(2008)[arXiv:0712.1851]
    [26] G.'t Hooft and M. Veltman, Nucl. Phys. B, 153:365(1979)
    [27] A. Denner, U. Nierste, and R. Scharf, Nucl. Phys. B, 367:637(1991)
    [28] A. Denner and S. Dittmaier, Nucl. Phys. B, 658:175(2003)
    [29] M. Kramer, Nucl. Phys. B, 459:3(1996)
    [30] M. Spira, A. Djouadi, D. Graudenz, and P. M. Zerwas, Nucl. Phys. B, 453:17(1995)[hep-ph/9504378]
    [31] H. Q. Zheng and D. D. Wu, Phys. Rev., 42:3760(1990); A. Djouadi, M. Spira, J. J. van der Bij, and P. M. Zerwas, Phys. Lett. B, 257:187(1991); S. Dawson and R. P. Kauffman, Phys. Rev. D, 47:1264(1993); K. Melnikov and O. I. Yakovlev, Phys. Lett. B, 312:179(1993)[hep-ph/9302281]; S. Actis, G. Passarino, C. Sturm, and S. Uccirati, Nucl. Phys. B, 811:182(2009)[arXiv:0809.3667[hep-ph]]
    [32] K.A. Olive et al (Particle Data Group), Chin. Phys. C, 38:090001(2014)
    [33] Butenschoen M, Kniehl B A, Nucl. Phys. B, Proceedings Supplement XX (2012) 1-11
    [34] https://twiki.cern.ch/twiki/bin/view/LHCPhysics/ LHCHXSWG
    [35] G. T. Bodwin, H. S. Chung, J. H. Ee, J. Lee, and F. Petriello, Phys. Rev. D, 90:113010(2014)[arXiv:1407.6695[hep-ph]]
    [36] T. Hahn and M. Perez-Victoria, Comput. Phys. Commun., 118:153(1999)[hep-ph/9807565]
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1. Owsati, T.. Direct decay of the Higgs boson into B_c and B_c^* mesons[J]. Iranian Journal of Physics Research, 2025, 24(4): 523-530. doi: 10.47176/ijpr.24.4.81947
2. Aad, G., Aakvaag, E., Abbott, B. et al. Searches for exclusive Higgs boson decays into D⁎γ and Z boson decays into D0γ and Ks0γ in pp collisions at s=13TeV with the ATLAS detector[J]. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2024. doi: 10.1016/j.physletb.2024.138762
3. Wang, G.-Y., Zheng, X.-C., Wu, X.-G. et al. Z -boson decays into S -wave quarkonium plus a photon up to O (αsv2) corrections[J]. Physical Review D, 2024, 109(7): 074004. doi: 10.1103/PhysRevD.109.074004
4. Aad, G., Abbott, B., Abbott, D.C. et al. Searches for exclusive Higgs and Z boson decays into a vector quarkonium state and a photon using 139 fb - 1 of ATLAS √s=13 TeV proton–proton collision data[J]. European Physical Journal C, 2023, 83(9): 781. doi: 10.1140/epjc/s10052-023-11869-1
5. Belov, I.N., Berezhnoy, A.V., Leshchenko, E.A. et al. QCD one-loop correction to Higgs boson decay into quarkonium pairs[J]. Physical Review D, 2023, 108(3): 036013. doi: 10.1103/PhysRevD.108.036013
6. Zheng, X.-C., Wu, X.-G., Zhan, X.-J. et al. Higgs boson decays to Bc meson in the fragmentation-function approach[J]. Physical Review D, 2023, 107(7): 074005. doi: 10.1103/PhysRevD.107.074005
7. Dong, H., Sun, P., Yan, B. Probing the Hγγ coupling via Higgs boson exclusive decay into quarkonia plus a photon at the HL-LHC[J]. Physical Review D, 2022, 106(9): 095013. doi: 10.1103/PhysRevD.106.095013
8. Pan, X.-A., Niu, Z.-M., Song, M. et al. J /ψ associated production with a bottom quark pair from the Higgs boson decay in next-to-leading order QCD[J]. Physical Review D, 2022, 105(1): 014032. doi: 10.1103/PhysRevD.105.014032
9. Li, G., Pan, X.-A., Song, M. et al. Prompt J /ψ production in association with a top quark pair at the LHC[J]. Physical Review D, 2019, 100(7): 074019. doi: 10.1103/PhysRevD.100.074019
10. Mao, S., Guo-He, Y., Gang, L. et al. Probing the charm-Higgs-Yukawa coupling via Higgs boson decay to h c plus a photon[J]. Journal of Physics G: Nuclear and Particle Physics, 2019, 46(10): 105008. doi: 10.1088/1361-6471/ab1a6e
11. Sun, Q.-F., Wang, A.-M. Next-to-leading order QCD corrections to the decay of Higgs to vector meson and Z boson[J]. Chinese Physics C, 2018, 42(3): 033105. doi: 10.1088/1674-1137/42/3/033105
Get Citation
Chao Zhou, Mao Song, Gang Li, Ya-Jin Zhou and Jian-You Guo. Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon[J]. Chinese Physics C, 2016, 40(12): 123105. doi: 10.1088/1674-1137/40/12/123105
Chao Zhou, Mao Song, Gang Li, Ya-Jin Zhou and Jian-You Guo. Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon[J]. Chinese Physics C, 2016, 40(12): 123105.  doi: 10.1088/1674-1137/40/12/123105 shu
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Received: 2016-07-18
Revised: 2016-09-26
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    Supported by National Natural Science Foundation of China (11305001, 11105083, 11205003)

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Next-to-leading order QCD corrections to Higgs boson decay to quarkonium plus a photon

    Corresponding author: Mao Song, songmao@mail.ustc.edu.cn
  • 1.  School of Physics and Material Science, Anhui University, Hefei 230601, China
  • 2.  School of Physics, Shandong University, Jinan 250100, China
Fund Project:  Supported by National Natural Science Foundation of China (11305001, 11105083, 11205003)

Abstract: In this paper, we investigate the decay of the Higgs boson to J/ψ(Υ) plus a photon based on NRQCD factorization. For the direct process, we calculate the decay width up to QCD NLO. We find that the decay width for process H→J/ψ(Υ)+γ direct production at the LO is significantly reduced by the NLO QCD corrections. For the indirect process, we calculate the H→γ*γ with virtual γ substantially decaying to J/ψ(Υ), including all the SM Feynman diagrams. The decay width of indirect production is much larger than the direct decay width. Since it is very clean in experiment, the H→J/ψ(Υ)+γ decay could be observable at a 14 TeV LHC and it also offers a new way to probe the Yukawa coupling and New Physics at the LHC.

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