Abstract
We study the CP violation in the Higgs boson and toponia production process at the ILC where the toponia are produced near the threshold. With the approximation that the production vertex of the Higgs boson and toponia is contact, and neglecting the P-wave toponia, we analytically calculated the density matrix for the production and decay of the toponia. Under these assumptions, the production spectrum of the toponia is solely determined by the spin quantum number, therefore the toponia can be either singlet or triplet. We find that the production rate of the singlet toponium is highly suppressed, and behaves just like the production of a P-wave toponia. In the case of the triplet toponium, three completely independent CP observables, namely azimuthal angles of lepton and antilepton in the toponium rest-frame as well as their sum, are predicted based on our analytical results, and checked by using the tree-level event generator. The non-trivial correlations come from the longitudinal-transverse interferences for the azimuthal angles of leptons, and the transverse-transverse interference for their sum. These three observables are well defined at the ILC, where the rest frame of the toponium can be reconstructed directly. Furthermore, the QCD-strong corrections, which are important near the threshold region, are also studied with the approximation of spin-independent QCD-Coulomb potential. While the total cross section is enhanced, the spin correlations predicted in this paper are not affected.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Observation of a new particle in the search for the standard model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS collaboration, Evidence for the spin-0 nature of the Higgs boson using ATLAS data, Phys. Lett. B 726 (2013) 120 [arXiv:1307.1432] [INSPIRE].
CMS collaboration, Study of the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs, Phys. Rev. Lett. 110 (2013) 081803 [Erratum ibid. 110 (2013) 189901] [arXiv:1212.6639] [INSPIRE].
CMS collaboration, Measurement of the properties of a Higgs boson in the four-lepton final state, Phys. Rev. D 89 (2014) 092007 [arXiv:1312.5353] [INSPIRE].
A. Kobakhidze, L. Wu and J. Yue, Anomalous top-Higgs couplings and top polarisation in single top and Higgs associated production at the LHC, JHEP 10 (2014) 100 [arXiv:1406.1961] [INSPIRE].
J. Ellis and T. You, Updated global analysis of Higgs couplings, JHEP 06 (2013) 103 [arXiv:1303.3879] [INSPIRE].
H. Abe, T. Kobayashi, H. Ohki, K. Sumita and Y. Tatsuta, Flavor landscape of 10D SYM theory with magnetized extra dimensions, JHEP 04 (2014) 007 [arXiv:1307.1831] [INSPIRE].
K. Nishiwaki, S. Niyogi and A. Shivaji, ttH anomalous coupling in double Higgs production, JHEP 04 (2014) 011 [arXiv:1309.6907] [INSPIRE].
S. Klevtsov and S. Zelditch, Stability and integration over Bergman metrics, JHEP 07 (2014) 100 [arXiv:1404.0659] [INSPIRE].
J. Brod, U. Haisch and J. Zupan, Constraints on CP-violating Higgs couplings to the third generation, JHEP 11 (2013) 180 [arXiv:1310.1385] [INSPIRE].
J. Shu and Y. Zhang, Impact of a CP-violating Higgs sector: from LHC to baryogenesis, Phys. Rev. Lett. 111 (2013) 091801 [arXiv:1304.0773] [INSPIRE].
M.J. Dolan, P. Harris, M. Jankowiak and M. Spannowsky, Constraining CP -violating Higgs sectors at the LHC using gluon fusion, Phys. Rev. D 90 (2014) 073008 [arXiv:1406.3322] [INSPIRE].
S. Bolognesi et al., On the spin and parity of a single-produced resonance at the LHC, Phys. Rev. D 86 (2012) 095031 [arXiv:1208.4018] [INSPIRE].
Y. Chen, A. Falkowski, I. Low and R. Vega-Morales, New observables for CP-violation in Higgs decays, Phys. Rev. D 90 (2014) 113006 [arXiv:1405.6723] [INSPIRE].
Y. Chen, R. Harnik and R. Vega-Morales, Probing the Higgs couplings to photons in h → 4ℓ at the LHC, Phys. Rev. Lett. 113 (2014) 191801 [arXiv:1404.1336] [INSPIRE].
F. Bishara et al., Probing CP-violation in h → γγ with converted photons, JHEP 04 (2014) 084 [arXiv:1312.2955] [INSPIRE].
A.Y. Korchin and V.A. Kovalchuk, Polarization effects in the Higgs boson decay to γZ and test of CP and CP T symmetries, Phys. Rev. D 88 (2013) 036009 [arXiv:1303.0365] [INSPIRE].
W. Bernreuther, P. Gonzalez and M. Wiebusch, Pseudoscalar Higgs bosons at the LHC: production and decays into electroweak gauge bosons revisited, Eur. Phys. J. C 69 (2010) 31 [arXiv:1003.5585] [INSPIRE].
T. Plehn, D.L. Rainwater and D. Zeppenfeld, Determining the structure of Higgs couplings at the LHC, Phys. Rev. Lett. 88 (2002) 051801 [hep-ph/0105325] [INSPIRE].
J.R. Dell’Aquila and C.A. Nelson, Usage of the \( \overline{\tau}\tau \) or \( t\overline{t} \) decay mode to distinguish an intermediate mass Higgs boson from a technipion, Nucl. Phys. B 320 (1989) 86 [INSPIRE].
J.R. Dell’Aquila and C.A. Nelson, CP determination for new spin zero mesons by the \( \overline{\tau}\tau \) decay mode, Nucl. Phys. B 320 (1989) 61 [INSPIRE].
R. Harnik, A. Martin, T. Okui, R. Primulando and F. Yu, Measuring CP-violation in h → τ + τ − at colliders,Phys. Rev. D 88 (2013) 076009 [arXiv:1308.1094] [INSPIRE].
G.R. Bower, T. Pierzchala, Z. Was and M. Worek, Measuring the Higgs boson’s parity using τ →ρν, Phys. Lett. B 543 (2002) 227 [hep-ph/0204292] [INSPIRE].
K. Desch, Z. Was and M. Worek, Measuring the Higgs boson parity at a linear collider using τ impact parameter and τ → ρν decay, Eur. Phys. J. C 29 (2003) 491 [hep-ph/0302046] [INSPIRE].
S. Berge, W. Bernreuther and J. Ziethe, Determining the CP parity of Higgs bosons at the LHC in their τ decay channels, Phys. Rev. Lett. 100 (2008) 171605 [arXiv:0801.2297] [INSPIRE].
S. Berge and W. Bernreuther, Determining the CP parity of Higgs bosons at the LHC in the τ to 1-prong decay channels, Phys. Lett. B 671 (2009) 470 [arXiv:0812.1910] [INSPIRE].
S. Berge, W. Bernreuther, B. Niepelt and H. Spiesberger, How to pin down the CP quantum numbers of a Higgs boson in its τ decays at the LHC, Phys. Rev. D 84 (2011) 116003 [arXiv:1108.0670] [INSPIRE].
S. Berge, W. Bernreuther and H. Spiesberger, Higgs CP properties using the τ decay modes at the ILC, Phys. Lett. B 727 (2013) 488 [arXiv:1308.2674] [INSPIRE].
K. Hagiwara and J. Nakamura, Study on the azimuthal angle correlation between two jets in the top quark pair production, arXiv:1501.00794 [INSPIRE].
J. Brod, U. Haisch and J. Zupan, Constraints on CP-violating Higgs couplings to the third generation, JHEP 11 (2013) 180 [arXiv:1310.1385] [INSPIRE].
K. Nishiwaki, S. Niyogi and A. Shivaji, ttH anomalous coupling in double Higgs production, JHEP 04 (2014) 011 [arXiv:1309.6907] [INSPIRE].
J. Ellis, D.S. Hwang, K. Sakurai and M. Takeuchi, Disentangling Higgs-top couplings in associated production, JHEP 04 (2014) 004 [arXiv:1312.5736] [INSPIRE].
F. Demartin, F. Maltoni, K. Mawatari, B. Page and M. Zaro, Higgs characterisation at NLO in QCD: CP properties of the top-quark Yukawa interaction, Eur. Phys. J. C 74 (2014) 3065 [arXiv:1407.5089] [INSPIRE].
X.-G. He, G.-N. Li and Y.-J. Zheng, Probing Higgs boson CP properties with \( t\overline{t}H \) at the LHC and the 100 TeV pp collider, Int. J. Mod. Phys. A 30 (2015) 1550156 [arXiv:1501.00012] [INSPIRE].
F. Boudjema, R.M. Godbole, D. Guadagnoli and K.A. Mohan, Lab-frame observables for probing the top-Higgs interaction, Phys. Rev. D 92 (2015) 015019 [arXiv:1501.03157] [INSPIRE].
K. Kolodziej and A. Slapik, Probing the top-Higgs coupling through the secondary lepton distributions in the associated production of the top-quark pair and Higgs boson at the LHC, Eur. Phys. J. C 75 (2015) 475 [arXiv:1507.01572] [INSPIRE].
M. Casolino, T. Farooque, A. Juste, T. Liu and M. Spannowsky, Probing a light CP -odd scalar in di-top-associated production at the LHC, Eur. Phys. J. C 75 (2015) 498 [arXiv:1507.07004] [INSPIRE].
M.R. Buckley and D. Gonçalves, Boosting the direct CP measurement of the Higgs-top coupling, Phys. Rev. Lett. 116 (2016) 091801 [arXiv:1507.07926] [INSPIRE].
P.S. Bhupal Dev, A. Djouadi, R.M. Godbole, M.M. Mühlleitner and S.D. Rindani, Determining the CP properties of the Higgs boson, Phys. Rev. Lett. 100 (2008) 051801 [arXiv:0707.2878] [INSPIRE].
R.M. Godbole, P.S. Bhupal Dev, A. Djouadi, M.M. Mühlleitner and S.D. Rindani, Probing CP properties of the Higgs boson via \( {e}^{+}{e}^{-}\to t\overline{t}\phi \), eConf C 0705302 (2007) TOP08 [arXiv:0710.2669] [INSPIRE].
R.M. Godbole, C. Hangst, M. Mühlleitner, S.D. Rindani and P. Sharma, Model-independent analysis of Higgs spin and CP properties in the process \( {e}^{+}{e}^{-}\to t\overline{t}\varPhi \), Eur. Phys. J. C 71 (2011) 1681 [arXiv:1103.5404] [INSPIRE].
B. Ananthanarayan, S.K. Garg, J. Lahiri and P. Poulose, Probing the indefinite CP nature of the Higgs boson through decay distributions in the process \( {e}^{+}{e}^{-}\to t\overline{t}\varPhi \), Phys. Rev. D 87 (2013) 114002 [arXiv:1304.4414] [INSPIRE].
B. Ananthanarayan, S.K. Garg, C.S. Kim, J. Lahiri and P. Poulose, Top Yukawa coupling measurement with indefinite CP Higgs in \( {e}^{+}{e}^{-}\to t\overline{t}\varPhi \), Phys. Rev. D 90 (2014) 014016 [arXiv:1405.6465] [INSPIRE].
T. Barklow et al., ILC operating scenarios, arXiv:1506.07830 [INSPIRE].
H. Baer et al., The International Linear Collider technical design report. Volume 2: Physics, arXiv:1306.6352 [INSPIRE].
K. Fujii et al., Physics case for the International Linear Collider, arXiv:1506.05992 [INSPIRE].
E.E. Salpeter and H.A. Bethe, A relativistic equation for bound state problems, Phys. Rev. 84 (1951) 1232 [INSPIRE].
B.A. Lippmann and J. Schwinger, Variational principles for scattering processes. I, Phys. Rev. 79 (1950) 469 [INSPIRE].
M. JeŻabek, J.H. Kühn and T. Teubner, Momentum distributions in tt production and decay near threshold, Z. Phys. C 56 (1992) 653 [INSPIRE].
J. Alwall, M. Herquet, F. Maltoni, O. Mattelaer and T. Stelzer, MadGraph 5: going beyond, JHEP 06 (2011) 128 [arXiv:1106.0522] [INSPIRE].
P. Artoisenet et al., A framework for Higgs characterisation, JHEP 11 (2013) 043 [arXiv:1306.6464] [INSPIRE].
Y. Sumino and H. Yokoya, Bound-state effects on kinematical distributions of top quarks at hadron colliders, JHEP 09 (2010) 034 [arXiv:1007.0075] [INSPIRE].
C. Farrell and A.H. Hoang, The large Higgs energy region in Higgs associated top pair production at the linear collider, Phys. Rev. D 72 (2005) 014007 [hep-ph/0504220] [INSPIRE].
C. Farrell and A.H. Hoang, Next-to-leading-logarithmic QCD corrections to the cross section \( \sigma \left({e}^{+}{e}^{-}\to t\overline{t}H\right) \) at 500 GeV, Phys. Rev. D 74 (2006) 014008 [hep-ph/0604166] [INSPIRE].
R. Yonamine et al., Measuring the top Yukawa coupling at the ILC at \( \sqrt{s}=500 \) GeV, Phys. Rev. D 84 (2011) 014033 [arXiv:1104.5132] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1602.00684
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hagiwara, K., Ma, K. & Yokoya, H. Probing CP violation in e + e − production of the Higgs boson and toponia. J. High Energ. Phys. 2016, 48 (2016). https://doi.org/10.1007/JHEP06(2016)048
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2016)048