# Precision study of ${ {W^-W^+H}}$ production including parton shower effects at CERN Large Hadron Collider

• The precision study of $W^-W^+H$ production with subsequent $W^{\pm} \rightarrow l^{\pm} \overset{ _{(-)}}{\nu_{l}}$ and $H \rightarrow b\bar{b}$ decays at the Large Hadron Collider (LHC) aids in the investigation of Higgs gauge couplings and the search for new physics beyond the standard model. In this study, we calculate the shower-matched next-to-leading order QCD and electroweak (EW) corrections from the $q\bar{q}$ annihilation and photon-induced channels to the $W^-W^+H$ production at the $14~ {\rm TeV}$ LHC. We deal with the subsequent decays of Higgs and $W^{\pm}$ bosons by adopting the MADSPIN method. Both the integrated cross section and some kinematic distributions of $W^{\pm}$, H, and their decay products are provided. We find that the QCD correction significantly enhances the leading-order differential cross section, while the EW correction from the $q\bar{q}$ annihilation channel obviously suppresses it, especially in the high energy phase-space region, due to the Sudakov effect. The $q\gamma$- and $\gamma\gamma$-induced relative corrections are positive and insensitive to the transverse momenta of $W^{\pm}$, H, and their decay products. These photon-induced corrections compensate the negative $q\bar{q}$-initiated EW correction, and become the dominant EW contribution as the increment of the $pp$ colliding energy. The parton shower (PS) effects on kinematic distributions are not negligible. The relative PS correction to the b-jet transverse momentum distribution can exceed 100% in the high $p_{T, b}$ region. Moreover, we investigate the scale and PDF uncertainties, and find that the theoretical error of the ${\rm QCD}+{\rm EW}+q\gamma+\gamma\gamma$-corrected integrated cross section mainly originates from the renormalization scale dependence of the QCD correction.
•  [1] S. L. Glashow, Nucl. Phys., 22: 579 (1961) doi: 10.1016/0029-5582(61)90469-2 [2] S. Weinberg, Phys. Rev. Lett., 19: 1264 (1967) doi: 10.1103/PhysRevLett.19.1264 [3] A. Salam, Conf. Proc. C, 680519: 367 (1968) [4] P. W. Higgs, Phys. Rev. Lett., 13: 508 (1964) doi: 10.1103/PhysRevLett.13.508 [5] F. Englert and R. Brout, Phys. Rev. Lett., 13: 321 (1964) doi: 10.1103/PhysRevLett.13.321 [6] G. Aad et al (ATLAS Collaboration), Phys. Lett. B, 716: 1 (2012) doi: 10.1016/j.physletb.2012.08.020 [7] S. Chatrchyan et al (CMS Collaboration), Phys. Lett. B, 716: 30 (2012) doi: 10.1016/j.physletb.2012.08.021 [8] E. Gabrielli, M. Heikinheimo, L. Marzola et al, Phys. Rev. D, 89: 053012 (2014) doi: 10.1103/PhysRevD.89.053012 [9] C.-W. Chiang, X.-G. He, and G. Li, J. High Energy Phys., 08: 126 (2018) [10] P. Agrawal, D. Saha, and A. Shivaji, arXiv: 1907.13168 [11] CMS Collaboration (CMS Collaboration), CMS-PAS-FTR-15-002(2015) [12] CMS Collaboration (CMS Collaboration), CMS-PAS-HIG-16-024(2016) [13] A. M. Sirunyan et al (CMS Collaboration), Phys. Lett. B, 779: 82 (2018) doi: 10.1016/j.physletb.2018.01.077 [14] J. Baglio, Phys. Rev. D, 93: 054010 (2016) doi: 10.1103/PhysRevD.93.054010 [15] J. Baglio, Phys. Lett. B, 764: 54 (2017) doi: 10.1016/j.physletb.2016.10.066 [16] M. Song, W.-G. Ma, R.-Y. Zhang et al, Phys. Rev. D, 79: 054016 (2009) doi: 10.1103/PhysRevD.79.054016 [17] T. Hahn, Comput. Phys. Commun., 140: 418 (2001) doi: 10.1016/S0010-4655(01)00290-9 [18] D. T. Nhung, L. D. Ninh, and M. M. Weber, J. High Energy Phys., 12: 096 (2013) [19] A. Sirlin, Phys. Rev. D, 22: 971 (1980) doi: 10.1103/PhysRevD.22.971 [20] Y.-B. Shen, R.-Y. Zhang, W.-G. Ma et al, Phys. Rev. D, 95: 073005 (2017) doi: 10.1103/PhysRevD.95.073005 [21] A. Denner, S. Dittmaier, M. Hecht et al, J. High Energy Phys., 04: 018 (2015) [22] A. Denner, S. Dittmaier, M. Hecht et al, J. High Energy Phys., 02: 057 (2016) [23] J. R. Andersen et al, arXiv: 1405.1067 [24] G. Passarino and M. Veltman, Nucl. Phys. B, 160: 151 (1979) [25] Y. Zhang, W.-G. Ma, R.-Y. Zhang et al, Phys. Lett. B, 738: 1 (2014) doi: 10.1016/j.physletb.2014.09.022 [26] A. Denner, Fortschr. Phys., 41: 307 (1993) [27] B. W. Harris and J. F. Owens, Phys. Rev. D, 65: 094032 (2002) doi: 10.1103/PhysRevD.65.094032 [28] G. J. van Oldenborgh, Comput. Phys. Commun., 66: 1 (1991) doi: 10.1016/0010-4655(91)90002-3 [29] A. Buckley, J. Ferrando, S. Lloyd et al, Eur. Phys. J. C, 75: 132 (2015) doi: 10.1140/epjc/s10052-015-3318-8 [30] T. Hahn and M. Pérez-Victoria, Comput. Phys. Commun., 118: 153 (1999) doi: 10.1016/S0010-4655(98)00173-8 [31] P. Artoisenet, R. Frederix, O. Mattelaer et al, J. High Energy Phys., 03: 015 (2013) [32] J. Alwall et al, J. High Energy Phys., 07: 079 (2014) [33] T. Sjöstrand et al, Comput. Phys. Commun., 191: 159 (2015) doi: 10.1016/j.cpc.2015.01.024 [34] E. Conte, B. Dumont, B. Fuks et al, Eur. Phys. J. C, 74: 3103 (2014) doi: 10.1140/epjc/s10052-014-3103-0 [35] M. Cacciari, G. P. Salam, and G. Soyez, Eur. Phys. J. C, 72: 1896 (2012) doi: 10.1140/epjc/s10052-012-1896-2 [36] R. Frederix, S. Frixione, V. Hirschi et al, J. High Energy Phys., 07: 185 (2018) [37] L.-W. Chen, R.-Y. Zhang, W.-G. Ma et al, Phys. Rev. D, 90: 054020 (2014) doi: 10.1103/PhysRevD.90.054020 [38] R.-Y. Zhang, H. Yan, W.-G. Ma et al, Phys. Rev. D, 85: 015017 (2012) doi: 10.1103/PhysRevD.85.015017 [39] S. Frixione, E. Laenen, P. Motylinski et al, J. High Energy Phys., 07: 029 (2008) [40] W. Hollik, J. M. Lindert, and D. Pagani, J. High Energy Phys., 03: 139 (2013) [41] T. M. P. Tait, Phys. Rev. D, 61: 034001 (1999) doi: 10.1103/PhysRevD.61.034001 [42] A. S. Belyaev, E. E. Boos, and L. V. Dudko, Phys. Rev. D, 59: 075001 (1999) doi: 10.1103/PhysRevD.59.075001 [43] D. de Florian et al (LHC Higgs Cross Section Working Group), CERN Yellow Report No. CERN-2017-002-M (2017) [44] C. Patrignani et al (Particle Data Group), Chin. Phys. C, 40: 100001 (2016) doi: 10.1088/1674-1137/40/10/100001 [45] A. Manohar, P. Nason, G. P. Salam et al, Phys. Rev. Lett., 117: 242002 (2016) doi: 10.1103/PhysRevLett.117.242002 [46] B. Biedermann, A. Denner, and L. Hofer, J. High Energy Phys., 10: 043 (2017) [47] A. Denner, J.-N. Lang, M. Pellen et al, J. High Energy Phys., 02: 053 (2017) [48] G. Aad et al (ATLAS and CMS Collaborations), J. High Energy Phys., 08: 045 (2016) [49] S. Alekhin et al, arXiv: 1101.0536

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Huan-Yu Bi, Ren-You Zhang, Wen-Gan Ma, Yi Jiang, Xiao-Zhou Li and Peng-Fei Duan. Precision study of ${ {W^-W^+H}}$ production including parton shower effects at CERN Large Hadron Collider[J]. Chinese Physics C, 2019, 43(12): 123103. doi: 10.1088/1674-1137/43/12/123103
Huan-Yu Bi, Ren-You Zhang, Wen-Gan Ma, Yi Jiang, Xiao-Zhou Li and Peng-Fei Duan. Precision study of ${ {W^-W^+H}}$ production including parton shower effects at CERN Large Hadron Collider[J]. Chinese Physics C, 2019, 43(12): 123103.
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###### 通讯作者: 陈斌, bchen63@163.com
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Precision study of ${ {W^-W^+H}}$ production including parton shower effects at CERN Large Hadron Collider

###### Corresponding author: Ren-You Zhang, zhangry@ustc.edu.cn
• 1. State Key Laboratory of Particle Detection and Electronics, University of Science and Technology of China, Hefei 230026, China
• 2. Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
• 3. City College, Kunming University of Science and Technology, Kunming 650051, China

Abstract: The precision study of $W^-W^+H$ production with subsequent $W^{\pm} \rightarrow l^{\pm} \overset{ _{(-)}}{\nu_{l}}$ and $H \rightarrow b\bar{b}$ decays at the Large Hadron Collider (LHC) aids in the investigation of Higgs gauge couplings and the search for new physics beyond the standard model. In this study, we calculate the shower-matched next-to-leading order QCD and electroweak (EW) corrections from the $q\bar{q}$ annihilation and photon-induced channels to the $W^-W^+H$ production at the $14~ {\rm TeV}$ LHC. We deal with the subsequent decays of Higgs and $W^{\pm}$ bosons by adopting the MADSPIN method. Both the integrated cross section and some kinematic distributions of $W^{\pm}$, H, and their decay products are provided. We find that the QCD correction significantly enhances the leading-order differential cross section, while the EW correction from the $q\bar{q}$ annihilation channel obviously suppresses it, especially in the high energy phase-space region, due to the Sudakov effect. The $q\gamma$- and $\gamma\gamma$-induced relative corrections are positive and insensitive to the transverse momenta of $W^{\pm}$, H, and their decay products. These photon-induced corrections compensate the negative $q\bar{q}$-initiated EW correction, and become the dominant EW contribution as the increment of the $pp$ colliding energy. The parton shower (PS) effects on kinematic distributions are not negligible. The relative PS correction to the b-jet transverse momentum distribution can exceed 100% in the high $p_{T, b}$ region. Moreover, we investigate the scale and PDF uncertainties, and find that the theoretical error of the ${\rm QCD}+{\rm EW}+q\gamma+\gamma\gamma$-corrected integrated cross section mainly originates from the renormalization scale dependence of the QCD correction.

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