Abstract
In this study, we investigate the potential of \(\mu ^{-} \mu ^{+}\rightarrow Z\gamma \rightarrow \nu \bar{\nu }\gamma \) process at the future muon collider with a center-of-mass energy of 3 TeV to examine the anomalous ZZ\(\gamma \) and \(Z\gamma \gamma \) neutral triple gauge couplings defining CP-conserving \(C_{\widetilde{B}W}/{\Lambda ^4}\) coupling and three CP-violating \(C_{\mathrm{BB}}/{\Lambda ^4}\), \(C_{\mathrm{BW}}/{\Lambda ^4}\), \(C_{\mathrm{WW}}/{\Lambda ^4}\) couplings. All signal and relevant background events are generated in MadGraph and passed through Pythia for parton showering and hadronization. Detector effects are also considered via tuned muon detector cards in Delphes. The effects of systematic uncertainties of \(0\%\), \(3\%\) and \(5\%\) on the sensitivities are studied. The best sensitivities obtained from the process \(\mu ^{-} \mu ^{+}\rightarrow Z\gamma \rightarrow \nu \bar{\nu }\gamma \) are \([-6.53;6.64]\times 10^{-2}\) TeV\(^{-4}\) on CP-conserving \(C_{\widetilde{B}W}/{\Lambda ^4}\) coupling and \([-2.47;2.47]\times 10^{-2}\) TeV\(^{-4}\), \([-8.46;8.46]\times 10^{-2}\) TeV\(^{-4}\) and \([-2.20;2.20]\times 10^{-1}\) TeV\(^{-4}\) on CP-conserving \(C_{\mathrm{BB}}/{\Lambda ^4}\), \(C_{\mathrm{BW}}/{\Lambda ^4}\), \(C_{\mathrm{WW}}/{\Lambda ^4}\) couplings , respectively. Our obtained results on the anomalous neutral gauge couplings set more stringent sensitivity, ranging between 5 and 15 times than the current experimental results while slightly better than the phenomenological studies at future pp colliders such as the HL-LHC, the HE-LHC and the FCC-hh, respectively. On the other hand, we can see that the bounds on the anomalous neutral gauge couplings expected to be obtained for the future \(e^{-}e^{+}\) colliders such as the CLIC are roughly 2 times better than our results.
Similar content being viewed by others
Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment: The datasets generated during and analyzed during the current study are available from the corresponding author on reasonable request.]
References
U. Baur, D. Rainwater, Phys. Rev. D 62, 113011 (2000). [arXiv:hep-ph/0008063]
D. Choudhury, S.D. Rindani, Phys. Lett. B 335, 198–204 (1994). [arXiv:hep-ph/9405242]
S. Atağ, İ Şahin, Phys. Rev. D 70, 053014 (2004). [arXiv:hep-ph/0408163]
I. Ots, H. Uibo, H. Liivat, R.K. Loide, R. Saar, Nucl. Phys. B 702, 346–356 (2004)
I. Ots, H. Uibo, H. Liivat, R.K. Loide, R. Saar, Nucl. Phys. B 740, 212–221 (2006)
A. Gutiérrez-Rodríguez, M.A. Hernández-Ruíz, M.A. Pérez, Phys. Rev. D 80, 017301 (2009). [arXiv:0808.0945 [hep-ph]]
B. Ananthanarayan, S.K. Garg, M. Patra, S.D. Rindani, Phys. Rev. D 85, 034006 (2012). [arXiv:1104.3645 [hep-ph]]
B. Ananthanarayan, J. Lahiri, M. Patra, S.D. Rindani, JHEP 08, 124 (2014). [arXiv:1404.4845 [hep-ph]]
R. Rahaman, R.K. Singh, Eur. Phys. J. C 76, 539 (2016). [arXiv:1604.06677 [hep-ph]]
R. Rahaman, R.K. Singh, Eur. Phys. J. C 77, 521 (2017). [arXiv:1703.06437 [hep-ph]]
J. Ellis, S.F. Ge, H.J. He, R.Q. Xiao, Chin. Phys. C 44, 063106 (2020). [arXiv:1902.06631 [hep-ph]]
Q. Fu, J.C. Yang, C.X. Yue, Y.C. Guo, Nucl. Phys. B 972, 115543 (2021). [arXiv:2102.03623 [hep-ph]]
J. Ellis, H.J. He, R.Q. Xiao, Sci. China Phys. Mech. Astron. 64, 221062 (2021). [arXiv:2008.04298 [hep-ph]]
J.C. Yang, Y.C. Guo, L.H. Cai, Nucl. Phys. B 977, 115735 (2022). [arXiv:2111.10543 [hep-ph]]
S. Spor, E. Gurkanli, M. Köksal, Nucl. Phys. B 979, 115785 (2022). [arXiv:2203.02352 [hep-ph]]
U. Baur, E.L. Berger, Phys. Rev. D 47, 4889 (1993)
A. Senol, H. Denizli, A. Yilmaz, I.T. Cakir, K.Y. Oyulmaz, O. Karadeniz, O. Cakir, Nucl. Phys. B 935, 365–376 (2018). [arXiv:1805.03475 [hep-ph]]
R. Rahaman, R.K. Singh, Nucl. Phys. B 948, 114754 (2019). [arXiv:1810.11657 [hep-ph]]
A. Senol, H. Denizli, A. Yilmaz, I.T. Cakir, O. Cakir, Acta Phys. Pol. B 50, 1597 (2019). [arXiv:1906.04589 [hep-ph]]
A. Senol, H. Denizli, A. Yilmaz, I.T. Cakir, O. Cakir, Phys. Lett. B 802, 135255 (2020). [arXiv:1910.03843 [hep-ph]]
A. Yilmaz, A. Senol, H. Denizli, I.T. Cakir, O. Cakir, Eur. Phys. J. C 80, 173 (2020). [arXiv:1906.03911 [hep-ph]]
A. Yilmaz, Nucl. Phys. B 969, 115471 (2021). [arXiv:2102.01989 [hep-ph]]
A.I. Hernández-Juárez, A. Moyotl, G. Tavares-Velasco, Eur. Phys. J. C 81, 304 (2021). [arXiv:2102.02197 [hep-ph]]
A. Biekötter, P. Gregg, F. Krauss, M. Schönherr, Phys. Lett. B 817, 136311 (2021). [arXiv:2102.01115 [hep-ph]]
D. Lombardi, M. Wiesemann, G. Zanderighi, Phys. Lett. B 824, 136846 (2022)
A. I. Hernández-Juárez and G. Tavares-Velasco, [arXiv:2203.16819 [hep-ph]]
C. Geng et al. [ATLAS Collaboration], PoS DIS2019, 286 (2019)
G.J. Gounaris, J. Layssac, F.M. Renard, Phys. Rev. D 67, 013012 (2003). [arXiv:hep-ph/0211327]
A. Belloni, A. Freitas, J. Tian, J. Alcaraz Maestre, A. Apyan, B. Azartash-Namin, P. Azzurri, S. Banerjee, J. Beyer and S. Bhattacharya, et al. [arXiv:2209.08078 [hep-ph]]
R.D. Ryne, Nature 578, 44–45 (2020)
K.R. Long, D. Lucchesi, M.A. Palmer, N. Pastrone, D. Schulte, V. Shiltsev, Nat. Phys. 17, 289–292 (2021)
J. P. Delahaye, M. Diemoz, K. Long, B. Mansoulié, N. Pastrone, L. Rivkin, D. Schulte, A. Skrinsky and A. Wulzer, “Muon Colliders,” (2019) [arXiv:1901.06150 [physics.acc-ph]]
J. D. Blas et al. [Muon Collider Collaboration], “The physics case of a 3 TeV muon collider stage,” (2022) [arXiv:2203.07261 [hep-ph]]
R.B. Palmer, Rev. Accel. Sci. Tech. 7, 137–159 (2014)
M. Antonelli, M. Boscolo, R.D. Nardo, P. Raimondi, Nucl. Instrum. Meth. A 807, 101–107 (2016)
M.-H. Wang, Y. Nosochkov, Y. Cai, M. Palmer, JINST 11, P09003 (2016)
D. Neuffer, V. Shiltsev, JINST 13, T10003 (2018). [arXiv:1811.10694 [physics.acc-ph]]
M. Boscolo, J.-P. Delahaye, M. Palmer, Rev. Accel. Sci. Tech. 10, 189–214 (2019). arXiv:1808.01858 [physics.acc-ph]
B. Bogomilov et al., MICE Collaboration. Nature 578, 53–59 (2020) [arXiv:1907.08562 [physics.acc-ph]]
D. Buttazzo, D. Redigolo, F. Sala, A. Tesi, JHEP 11, 144 (2018). [arXiv:1807.04743 [hep-ph]]
M. Köksal, A.A. Billur, A. Gutiérrez-Rodríguez, M.A. Hernández-Ruíz, Int. J. Mod. Phys. A 34, 1950076 (2019). [arXiv:1811.01188 [hep-ph]]
A. Costantini, F.D. Lillo, F. Maltoni, L. Mantani, O. Mattelaer, R. Ruiz, X. Zhao, JHEP 09, 80 (2020). [arXiv:2005.10289 [hep-ph]]
W. Yin and M. Yamaguchi, “Muon \(g-2\) at multi-TeV muon collider,” (2020) [arXiv:2012.03928 [hep-ph]]
M. Ruhdorfer, E. Salvioni, A. Weiler, SciPost Phys. 8, 027 (2020). [arXiv:1910.04170 [hep-ph]]
M. Chiesa, F. Maltoni, L. Mantani, B. Mele, F. Piccinini, X. Zhao, JHEP 09, 98 (2020). [arXiv:2003.13628 [hep-ph]]
P. Bandyopadhyay, A. Costantini, Phys. Rev. D 103, 015025 (2021). [arXiv:2010.02597 [hep-ph]]
T. Han, S. Li, S. Su, W. Su, Y. Wu, Phys. Rev. D 104, 055029 (2021). [arXiv:2102.08386 [hep-ph]]
W. Liu, K.-P. Xie, JHEP 04, 15 (2021). [arXiv:2101.10469 [hep-ph]]
T. Han, Z. Liu, L.-T. Wang, X. Wang, Phys. Rev. D 103, 075004 (2021). [arXiv:2009.11287 [hep-ph]]
R. Capdevilla, F. Meloni, R. Simoniello, J. Zurita, JHEP 06, 133 (2021). [arXiv:2102.11292 [hep-ph]]
S. Bottaro, A. Strumia, N. Vignaroli, JHEP 06, 143 (2021). [arXiv:2103.12766 [hep-ph]]
R. Capdevilla, D. Curtin, Y. Kahn, G. Krnjaic, Phys. Rev. D 103, 075028 (2021). [arXiv:2006.16277 [hep-ph]]
G.-Y. Huang, F.S. Queiroz, W. Rodejohann, Phys. Rev. D 103, 095005 (2021). [arXiv:2101.04956 [hep-ph]]
P. Asadi, R. Capdevilla, C. Cesarotti, S. Homiller, JHEP 10, 182 (2021). [arXiv:2104.05720 [hep-ph]]
T. Han, D. Liu, I. Low, X. Wang, Phys. Rev. D 103, 013002 (2021). [arXiv:2008.12204 [hep-ph]]
R. Franceschini, M. Greco, Symmetry 13, 851 (2021). [arXiv:2104.05770 [hep-ph]]
M. Chiesa, B. Mele and F. Piccinini, “Multi Higgs production via photon fusion at future multi-TeV muon colliders,” (2021) [arXiv:2109.10109 [hep-ph]]
D. Buttazzo, P. Paradisi, Phys. Rev. D 104, 075021 (2021). [arXiv:2012.02769 [hep-ph]]
G.-Y. Huang, S. Jana, F.S. Queiroz, W. Rodejohann, Phys. Rev. D 105, 015013 (2022). [arXiv:2103.01617 [hep-ph]]
S. Spor and M. Köksal, “Investigation of anomalous triple gauge couplings in \(\mu \gamma \) collision at multi-TeV muon colliders,” (2022) [arXiv:2201.00787 [hep-ph]]
J-C. Yang, X-Y. Han, Z-B. Qin, T. Li and Y-C. Guo, “Measuring the anomalous quartic gauge couplings in the \(W^+W^- \rightarrow W^+W^-\) process at muon collider using artificial neural networks,” (2022) [arXiv:2204.10034 [hep-ph]]
M. Forslund and P. Meade, “High precision higgs from high energy muon colliders,” (2022) [arXiv:2203.09425 [hep-ph]]
C. Degrande, JHEP 02, 101 (2014). [arXiv:1308.6323 [hep-ph]]
G.J. Gounaris, J. Layssac, F.M. Renard, Phys. Rev. D 61, 073013 (2000). [arXiv:hep-ph/9910395]
R. Rahaman, Indian Institute of Science Education and Researh, PhD thesis (2020) [arXiv:2007.07649 [hep-ph]]
M. Aaboud et al., ATLAS Collaboration. JHEP 12, 010 (2018). [arXiv:1810.04995 [hep-ex]]
J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer, H.S. Shao, T. Stelzer, P. Torrielli, M. Zaro, JHEP 07, 079 (2014). [arXiv:1405.0301 [hep-ph]]
T. Sjöstrand, S. Ask, J.R. Christiansen, R. Corke, N. Desai, P. Ilten, S. Mrenna, S. Prestel, C.O. Rasmussen, P.Z. Skands, Comput. Phys. Commun. 191, 159–177 (2015). [arXiv:1410.3012 [hep-ph]]
J.D. Favereau, C. Delaere, P. Demin, A. Giammanco, V. Lemaître, A. Mertens, M. Selvaggi, JHEP 02, 057 (2014). [arXiv:1307.6346 [hep-ex]]
https://github.com/delphes/delphes/blob/master/cards/delphes_card_MuonColliderDet.tcl
http://madgraph.physics.illinois.edu/Downloads/ExRootAnalysis/
R. Brun, F. Rademakers, Nucl. Instrum. Meth. A 389, 81–86 (1997)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Senol, A., Spor, S., Gurkanli, E. et al. Model-independent study on the anomalous \(ZZ\gamma \) and \(Z\gamma \gamma \) couplings at the future muon collider. Eur. Phys. J. Plus 137, 1354 (2022). https://doi.org/10.1140/epjp/s13360-022-03569-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-022-03569-8