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Advances in High Energy Physics
Volume 2017 (2017), Article ID 1540243, 9 pages
https://doi.org/10.1155/2017/1540243
Research Article

Excited Muon Searches at the FCC-Based Muon-Hadron Colliders

1Faculty of Engineering and Natural Sciences, Department of Physics Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
2Omer Halisdemir University, Bor Vocational School, 51240 Nigde, Turkey
3Faculty of Sciences, Department of Physics, Ankara University, Tandogan, 06100 Ankara, Turkey

Correspondence should be addressed to A. Caliskan

Received 8 February 2017; Revised 8 March 2017; Accepted 13 March 2017; Published 30 March 2017

Academic Editor: Luca Stanco

Copyright © 2017 A. Caliskan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The publication of this article was funded by SCOAP3.

Abstract

We study the excited muon production at the FCC-based muon-hadron colliders. We give the excited muon decay widths and production cross-sections. We deal with the process and plot the transverse momentum and normalized pseudorapidity distributions of final state particles to define the kinematical cuts best suited for discovery. By using these cuts, we get the mass limits for excited muons. It is shown that the discovery limits obtained on the mass of are 2.2, 5.8, and 7.5 TeV for muon energies of 63, 750, and 1500 GeV, respectively.

1. Introduction

Discovery of the Higgs boson by ATLAS and CMS collaborations in 2012 [1, 2] has proved the accuracy and reliability of the Standard Model (SM) of the particle physics. But, many questions about dark matter, supersymmetric particles, extra dimensions, neutrino masses, asymmetry between matter and antimatter, existence of new fundamental interactions, and fermion substructure are keeping their mystery and waiting to be solved. Many theories beyond the SM (BSM) have been proposed for these puzzling phenomena. Evidently, it is necessary to perform the particle physics experiments in more powerful colliders with higher energies and luminosities.

Compositeness is one of the BSM models that intend to solve the problem of fermionic families replication, by introducing more fundamental matter constituents called preons. Excited fermions are predicted by preonic models and their existence would be a strong evidence for fermion substructure [35]. If known quarks and leptons present composite structures, reasonable explanations could be given for the still unanswered questions about the number and replication of SM families and their mass hierarchy. The appearance of excited states is an indisputable consequence of composite structure of known fermions [69]. In composite models, SM fermions are considered as ground states of a rich and heavier spectrum of excited states. Charged () and neutral () excited leptons come on the scene in the framework of composite models. Excited leptons with spin-1/2 and weak-isospin-1/2 are considered as the lowest radial and orbital excitations. Excited states with higher spins also appear in composite models [1014].

Considerable searches for the spin-1/2 charged and neutral excited lepton signatures have been performed for the and colliders [1518]; [1922] and [14, 23] colliders; [2427] and [2830] colliders. Production and decay properties of spin-1/2 excited leptons in a left-right symmetric scenario are studied in [31]. Also, spin-3/2 excited leptons are studied at various colliders in [3238].

Excited electrons () are extensively investigated in the field of excited leptonic state studies. To perform a main comparison it is necessary to study the other charged excited leptons ( and ). In principle, and contributions would differ from contribution in the mass and decay products of the SM leptons.

The mass limit for excited spin-1/2 muons obtained from their pair production () by OPAL collaboration at  GeV is  GeV [39]. From single production (), in events with three or more charged leptons at  TeV including contact interactions in the production and decay mechanism, the ATLAS collaboration sets the mass limits as  GeV [40]. Other studies on excited muon searches can be found in [4151].

Enormous efforts are being made for the research and development of new particle colliders for the Large Hadron Collider (LHC) era and post-LHC era. A staged approach will be taken into consideration for the planning of these energy frontiers. The first stage is low-energy lepton colliders to make the precision measurements of the LHC discoveries. These projects are the International Linear Collider (ILC) [52] with a center-of-mass energy of  TeV and low-energy muon collider (a collider, shortly C) [53]. Lepton-hadron collider projects would be considered as a second stage, including an collider under design, namely, Large Hadron Electron Collider (LHeC) with  TeV (possibly upgraded to  TeV) [54, 55], and a hypothetical collider -LHC at this stage. The ILC with an increased center-of-mass energy ( TeV), the Compact Linear Collider (CLIC) [56] with an optimal center-of-mass energy of  TeV, and the Plasma Wake-Field Accelerator-Linear Collider project (PWFA-LC) [57] are high-energy linear colliders under consideration to be built after the LHC. On the side of muon colliders, C with up to 3 TeV is planned as a high-energy muon collider [53].

The Future Circular Collider (FCC) [58] project investigates the various concepts of the circular colliders at CERN for the post-LHC era. The FCC is proposed as the future collider with  TeV and supported by the European Union within the Horizon 2020 Framework Programme for research and innovation. Besides the option, it is also being planned to include the collider option (TLEP or FCC-ee) [59] and several collider options [60, 61].

Building a muon collider as a dedicated -ring tangential to the FCC will give opportunity to handle multi-TeV scale and colliders [62, 63]. Assumed values for muon energy, center-of-mass energy, and average instantaneous luminosity for different FCC-based collider options are given in Table 1.

Table 1: Main parameters of the FCC-based collider.

Excited muon searches would provide complementary information for the compositeness studies. This work is dedicated to the search for excited muons at future FCC-based muon-proton colliders. We introduce the effective Lagrangian responsible for the gauge interactions of excited muons and give their decay widths in Section 2. Production cross-sections and the analysis for the decay mode are presented in Section 3. We summarized our results in Section 4.

2. Effective Lagrangian

A spin-1/2 excited lepton is the lowest radial and orbital excitation according to the classification by quantum numbers. Interactions between excited spin-1/2 leptons and ordinary leptons are of magnetic transition type [15, 16, 64]. The effective Lagrangian for the interaction between a spin-1/2 excited lepton, a gauge boson (), and the SM lepton is given bywhere is the new physics scale, and are the field strength tensors, denotes the Pauli matrices, is the hypercharge, and are the gauge couplings, and and are the scaling factors for the gauge couplings of and ; with being the Dirac matrices. An excited lepton has three possible decay modes: radiative decay , neutral weak decay , and charged weak decay . Neglecting the SM lepton mass, we find the decay width of excited leptons aswhere is the new electroweak coupling parameter corresponding to the gauge boson , and , , and ; is the weak mixing angle, is the mass of the gauge boson, and is the mass of the excited lepton. Total decay widths of excited leptons for and  TeV are given in Figure 1.

Figure 1: Decay width of excited leptons for and  TeV.

3. Excited Muon Production at Colliders

The FCC-based colliders will provide the potential reach for excited muon searches through the process. Feynman diagrams for the subprocesses are shown in Figure 2. We implemented excited muon interaction vertices in high-energy physics simulation programme CALCHEP [6567] and used it in our calculations.

Figure 2: Leading-order Feynman diagrams for the production at collider.

The total cross-section for the process as a function of the excited muon mass is shown in Figure 3. We used the CTEQ6L parton distribution function in our calculations.

Figure 3: Total cross-section as a function of the excited muon mass for the colliders with various center-of-mass energies for (a) and  TeV (b), respectively.

For the analysis we take into account the decay mode of the . We deal with the process (subprocess ) and impose generic cuts,  GeV, for the final state muon, photon, and jets.

Standard Model cross-sections after the application of the generic cuts are  pb,  pb, and  pb for , and  TeV, respectively. We show the transverse momentum distributions in Figure 4 (for -FCC), in Figure 6 (for -FCC), and in Figure 8 (for -FCC); the normalized pseudorapidity distributions are in Figure 5 (for -FCC), in Figure 7 (for -FCC), and in Figure 9 (for -FCC). We choose and in our calculations. As it is seen from Figures 4, 6, and 8 excited muons carry high transverse momentum and these distributions show a peak around . Also, normalized pseudorapidity distributions are so asymmetric. Since pseudorapidity is defined to be , where is the polar angle, it is concluded that excited muons are produced mostly in the backward direction.

Figure 4: Muon (a) and photon (b) distributions for the -FCC.
Figure 5: Muon (a) and photon (b) normalized distributions for the -FCC.
Figure 6: Muon (a) and photon (b) distributions for the -FCC.
Figure 7: Muon (a) and photon (b) normalized distributions for the -FCC.
Figure 8: Muon (a) and photon (b) distributions for the -FCC.
Figure 9: Muon (a) and photon (b) normalized distributions for the -FCC -FCC.

By examining these distributions we determine the discovery cuts presented in Table 2. To determine these discovery cuts we specify the optimal regions where we cut off the most of the background but at the same time do not affect the signal so much. Since we choose the decay mode of the excited muon (try to identify the excited muons through its decay products), no further cut is made on jets.

Table 2: Discovery cuts.

The invariant mass distributions following these cuts are shown in Figure 10. We define the statistical significance of the expected signal yield aswhere denotes cross-section due to the excited muon production and denotes the SM cross-section, is the integrated luminosity of the collider, and is the selection efficiency to detect the signal in the chosen channel ( is assumed to be the same both on signal and on background). Taking into account the criteria ( CL) and ( CL), we derive the mass limits for excited muons. Our results are summarized in Table 3.

Table 3: Mass limits for at FCC-based colliders.
Figure 10: Invariant mass distributions of the system after the discovery cuts for -FCC, -FCC, and -FCC, respectively.

4. Conclusion

It is shown that the FCC-based muon-proton colliders have a significant potential in excited muon investigations. We have studied the excited muon production and decay in various FCC-based collider options with muon energies of , and  GeV. Our analysis shows that taking into account the criteria, for , excited muon mass limits are 2250 GeV, 5950 GeV, and 7540 GeV, for , and  TeV, respectively. Also, for the same criteria, for  TeV, excited muon mass limits are 2180, 5830, and 7480 GeV for , and  TeV, respectively.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

Acknowledgments

A. Caliskan and S. O. Kara’s work is supported by the Scientific and Technological Research Council of Turkey (TUBITAK) under the Grant no. 114F337.

References

  1. G. Aad, T. Abajyan, B. Abbott et al., “Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC,” Physics Letters B, vol. 716, no. 1, pp. 1–29, 2012. View at Publisher · View at Google Scholar
  2. S. Chatrchyan, V. Khachatryan, A. M. Sirunyan et al., “Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC,” Physics Letters B, vol. 716, no. 1, pp. 30–61, 2012. View at Publisher · View at Google Scholar
  3. H. Terazawa, Y. Chikashige, and K. Akama, “Unified model of the Nambu-Jona-Lasinio type for all elementary-particle forces,” Physical Review D, vol. 15, no. 2, pp. 480–487, 1977. View at Publisher · View at Google Scholar · View at Scopus
  4. Y. Ne'eman, “Primitive particle model,” Physics Letters B, vol. 82, no. 1, pp. 69–70, 1979. View at Publisher · View at Google Scholar
  5. H. Terazawa, M. Yasuè, K. Akama, and M. Hayashi, “Observable effects of the possible sub-structure of leptons and quarks,” Physics Letters B, vol. 112, no. 4-5, pp. 387–392, 1982. View at Publisher · View at Google Scholar
  6. F. M. Renard, “Excited quarks and new hadronic states,” Il Nuovo Cimento A, vol. 77, no. 1, pp. 1–20, 1983. View at Publisher · View at Google Scholar
  7. E. J. Eichten, K. D. Lane, and M. E. Peskin, “New tests for quark and lepton substructure,” Physical Review Letters, vol. 50, no. 11, pp. 811–814, 1983. View at Publisher · View at Google Scholar · View at Scopus
  8. A. de Rújula, L. Maiani, and R. Petronzio, “Search for excited quarks,” Physics Letters B, vol. 140, no. 3-4, pp. 253–258, 1984. View at Publisher · View at Google Scholar
  9. J. Kühn and P. Zerwas, “Excited quarks and leptons,” Physics Letters B, vol. 147, no. 1–3, pp. 189–196, 1984. View at Publisher · View at Google Scholar
  10. J. Leite Lopes, J. A. Martins Simoes, and D. Spehler, “Production and decay properties of possible spin 32 leptons,” Physics Letters B, vol. 94, no. 3, pp. 367–372, 1980. View at Publisher · View at Google Scholar
  11. J. Leite Lopes, J. A. Martins Simoes, and D. Spehler, “Possible spin-3/2 quarks and scaling violations in neutrino reactions,” Physical Review D, vol. 23, no. 3, article 797, 1981. View at Publisher · View at Google Scholar
  12. J. L. Lopes, D. Spehler, and J. A. Simões, “Weak interactions involving spin-3/2 leptons,” Physical Review D, vol. 25, no. 7, pp. 1854–1859, 1982. View at Publisher · View at Google Scholar
  13. Y. Tosa and R. E. Marshak, “Exotic fermions,” Physical Review D, vol. 32, no. 3, pp. 774–780, 1985. View at Publisher · View at Google Scholar · View at Scopus
  14. O. J. P. Éboli, E. M. Gregores, J. C. Montero, S. F. Novaes, and D. Spehler, “Excited leptonic states in polarized eγ and e+e collisions,” Physical Review D, vol. 53, no. 3, pp. 1253–1263, 1996. View at Publisher · View at Google Scholar
  15. K. Hagiwara, S. Komamiya, and D. Zeppenfeld, “Excited lepton production at LEP and HERA,” Zeitschrift für Physik C Particles and Fields, vol. 29, no. 1, pp. 115–122, 1985. View at Publisher · View at Google Scholar · View at Scopus
  16. F. Boudjema, A. Djouadi, and J. L. Kneur, “Excited fermions at e+e- and eP colliders,” Zeitschrift für Physik C Particles and Fields, vol. 57, no. 3, pp. 425–449, 1993. View at Publisher · View at Google Scholar · View at Scopus
  17. O. Çakır, A. Yılmaz, and S. Sultansoy, “Single production of excited electrons at future e+e, ep and pp colliders,” Physical Review D, vol. 70, no. 7, Article ID 075011, 2004. View at Publisher · View at Google Scholar
  18. O. Çakır, İ. Türk Çakır, and Z. Kırca, “Single production of excited neutrinos at future e+e, ep and pp colliders,” Physical Review D, vol. 70, no. 7, Article ID 075017, 2004. View at Publisher · View at Google Scholar
  19. I. F. Ginzburg and D. Yu. Ivanov, “Excited leptons and quarks at γγ/γe colliders,” Physics Letters B, vol. 276, no. 1-2, pp. 214–218, 1992. View at Publisher · View at Google Scholar
  20. A. Belyaev, E. Boos, and A. Pukhov, “Study of excited neutrino production in e+e, γe and γγ collisions at TeV energies,” Physics Letters B, vol. 296, no. 3-4, pp. 452–457, 1992. View at Publisher · View at Google Scholar
  21. M. Köksal, “Analysis of excited neutrinos at the CLIC,” International Journal of Modern Physics A, vol. 29, no. 24, Article ID 1450138, 2014. View at Publisher · View at Google Scholar
  22. A. Ozansoy and A. A. Billur, “Search for excited electrons through γ scattering,” Physical Review D, vol. 86, no. 5, Article ID 055008, 2012. View at Publisher · View at Google Scholar
  23. Z. Kirca, O. Çakir, and Z. Z. Aydin, “Production of excited electrons at TESLA and CLIC based e gamma colliders,” Acta Physica Polonica B, vol. 34, no. 8, article 4079, 2003. View at Google Scholar
  24. O. J. Éboli, S. M. Lietti, and P. Mathews, “Excited leptons at the CERN large hadron collider,” Physical Review D, vol. 65, no. 7, 2002. View at Publisher · View at Google Scholar
  25. S. C. İnan, “Exclusive excited leptons search in two lepton final states at the CERN LHC,” Physical Review D, vol. 81, no. 11, Article ID 115002, 7 pages, 2010. View at Publisher · View at Google Scholar
  26. O. Çakır, C. Leroy, R. Mehdiyev, and A. Belyaev, “Production and decay of excited electrons at the LHC,” The European Physical Journal C, vol. 32, supplement 2, pp. s1–s17, 2004. View at Publisher · View at Google Scholar
  27. A. Belyaev, C. Leroy, and R. Mehdiyev, “Production of excited neutrinos at the LHC,” The European Physical Journal C, vol. 41, supplement 2, pp. 1–10, 2005. View at Publisher · View at Google Scholar
  28. E. Boos, A. Vologdin, D. Toback, and J. Gaspard, “Prospects of searching for excited leptons during run II of the Fermilab Tevatron,” Physical Review D, vol. 66, no. 1, Article ID 013011, 5 pages, 2002. View at Publisher · View at Google Scholar
  29. D. Acosta, J. Adelman, T. Affolder et al., “Search for excited and exotic electrons in the eγ decay channel in pp- collisions at s=1.96 TeV,” Physical Review Letters, vol. 94, Article ID 101802, 2005. View at Publisher · View at Google Scholar
  30. W. M. Abazo, K. Bloom, and G. R. Snow, “Search for excited electrons in pp- collisions at s=1.96 TeV,” Physical Review D, vol. 77, no. 9, Article ID 091102, 2008. View at Publisher · View at Google Scholar
  31. P. Banerjee and U. A. Yajnik, “Production and decay rates of excited leptons in a left-right symmetric scenario,” Physical Review D, vol. 90, no. 9, Article ID 095023, 2014. View at Publisher · View at Google Scholar
  32. O. Çakır and A. Ozansoy, “Search for excited spin-3/2 and spin-1/2 leptons at linear colliders,” Physical Review D, vol. 77, no. 3, Article ID 035002, 2008. View at Publisher · View at Google Scholar
  33. O. Çakır and A. Ozansoy, “Single production of excited spin-3/2 neutrinos at linear colliders,” Physical Review D, vol. 79, no. 5, Article ID 055001, 11 pages, 2009. View at Publisher · View at Google Scholar
  34. A. Ozansoy, V. Arı, and V. Çetinkaya, “Search for excited spin-3/2 neutrinos at LHeC,” Advances in High Energy Physics, vol. 2016, Article ID 1739027, 10 pages, 2016. View at Publisher · View at Google Scholar
  35. S. R. Choudhury, R. G. Ellis, and G. C. Joshi, “Limits on excited spin-3/2 leptons,” Physical Review D, vol. 31, no. 9, pp. 2390–2392, 1985. View at Publisher · View at Google Scholar · View at Scopus
  36. D. Spehler, O. J. Éboli, G. C. Marques, S. F. Novaes, and A. A. Natale, “Looking for spin-3/2 leptons in hadronic collisions,” Physical Review D, vol. 36, no. 5, pp. 1358–1362, 1987. View at Publisher · View at Google Scholar
  37. F. Almeida, J. Martins Simões, and A. Ramalho, “lepton production at HERA,” Nuclear Physics B, vol. 397, no. 3, pp. 502–514, 1993. View at Publisher · View at Google Scholar
  38. F. M. L. Almeida Jr., J. H. Lopes, J. A. Martins Simões, and A. J. Ramalho, “Production and decay of single heavy spin-3/2 leptons in high energy electron-positron collisions,” Physical Review D, vol. 53, no. 7, pp. 3555–3558, 1996. View at Publisher · View at Google Scholar
  39. G. Abbiendi, C. Ainsley, P. F. Åkesson et al., “Search for charged excited leptons in e+e collisions at s=183−209 GeV,” Physics Letters B, vol. 544, no. 1-2, pp. 57–72, 2002. View at Publisher · View at Google Scholar
  40. G. Aad, B. Abbott, J. Abdallah et al., “Search for new phenomena in events with three or more charged leptons in pp collisions at s=8 TeV with the ATLAS detector,” Journal of High Energy Physics, vol. 2015, no. 8, article 138, 2015. View at Publisher · View at Google Scholar
  41. H. Gittleson, T. Kirk, M. Murtagh et al., “Search for excited muons,” Physical Review D, vol. 10, no. 5, article 1379, 1974. View at Publisher · View at Google Scholar
  42. F. Renard, “Limits on masses and couplings of excited electrons and muons,” Physics Letters B, vol. 116, no. 4, pp. 264–268, 1982. View at Publisher · View at Google Scholar
  43. W. T. Ford, A. L. Read, J. G. Smith et al., “Experimental test of higher-order QED and a search for excited muon states,” Physical Review Letters, vol. 51, no. 4, article 257, 1983. View at Publisher · View at Google Scholar
  44. F. A. Berends and P. H. Daverveldt, “Effects of an excited muon on μ+μ-γ final states,” Nuclear Physics, Section B, vol. 272, no. 1, pp. 131–144, 1986. View at Publisher · View at Google Scholar · View at Scopus
  45. J. A. Grifols and S. Peris, “Limits on masses of excited electrons and muons from neutrino scattering off electrons,” Physics Letters B, vol. 168, no. 3, pp. 264–266, 1986. View at Publisher · View at Google Scholar · View at Scopus
  46. B. Adeva, O. Adriani, M. Aguilar-Benitez et al., “Mass limits for excited electrons and muons from Z0 decay,” Physics Letters B, vol. 247, no. 1, pp. 177–184, 1990. View at Publisher · View at Google Scholar
  47. A. Abulencia, D. Acosta, J. Adelman et al., “Search for excited and exotic muons in the μγ decay channel in pp- collisions at s=1.96 TeV,” Physical Review Letters, vol. 97, no. 19, Article ID 191802, 7 pages, 2006. View at Publisher · View at Google Scholar
  48. V. M. Abazov, B. Abbott, M. Abolins et al., “Search for excited muons in pp- collisions at s=1.96 TeV,” Physical Review D, vol. 73, no. 11, Article ID 111102, 2006. View at Publisher · View at Google Scholar
  49. G. Aad, T. Abajyan, B. Abbott et al., “Search for excited electrons and muons in s=8 TeV proton–proton collisions with the ATLAS detector,” New Journal of Physics, vol. 15, Article ID 093011, 2013. View at Publisher · View at Google Scholar
  50. The ATLAS Collaboration, “A search for an excited muon decaying to a muon and two jets in pp collisions at s=8 TeV with the ATLAS detector,” New J. Phys, vol. 18, no. 7, Article ID 073021, 2016. View at Google Scholar
  51. V. Khachatryan, A. M. Sirunyan, A. Tumasyan et al., “Search for excited leptons in proton-proton collisions at s=8 TeV,” Journal of High Energy Physics, vol. 2016, no. 3, article 125, 2016. View at Publisher · View at Google Scholar
  52. C. Adolphsen, M. Barone, B. Barish et al., “The International Linear Collider Technical Design Report - Volume 3.II: Accelerator Baseline Design,” https://arxiv.org/abs/1306.6328
  53. J. P. Delahaye, C. Ankenbrandt, A. Bogacz et al., “Enabling intensity and energy frontier science with a muon accelerator facility in the U.S.,” https://arxiv.org/abs/1308.0494
  54. J. L. Abelleira Fernandez, C. Adolphsen, A. N. Akay et al., “A large hadron electron collider at CERN. Report on the physics and design concepts for machine and detector,” Journal of Physics G, vol. 39, Article ID 075001, 2012. View at Publisher · View at Google Scholar
  55. O. Brüning and M. Klein, “The large hadron electron collider,” Modern Physics Letters A, vol. 28, no. 16, Article ID 1330011, 2013. View at Publisher · View at Google Scholar
  56. M. Aicheler, P. Burrows, M. Draper et al., “A multi-TeV linear collider based on CLIC technology: CLIC conceptual design report,” KEK Report JAI-2012-001, 2012-1, PSI-12-01, SLAC-R-985, CERN, Geneva, Switzerland, 2012, https://edms.cern.ch/ui/file/1234244/7/CERN-2012-007.pdf. View at Google Scholar
  57. J. P. Delahaye, E. Adli, S. J. Gessner et al., “A beam driven plasma-wakefield linear collider from Higgs factory to multi-TeV,” in Proceedings of the 5th International Particle Accelerator Conference (IPAC '14), pp. 3791–3793, Dresden, Germany, June 2014. View at Scopus
  58. FCC, https://fcc.web.cern.ch
  59. M. Bicer, H. Duran Yildiz, I. Yildiz et al., “First look at the physics case of TLEP,” Journal of High Energy Physics, vol. 2014, no. 1, article 164, 2014. View at Publisher · View at Google Scholar
  60. F. Zimmerman, “Challenges for highest energy circular colliders,” in Proceedings of the KEK Accelerator Seminar, Tsukuba, Japan, 2014.
  61. Y. C. Acar, A. N. Akay, S. Beser et al., “FCC based Lepton-Hadron and photon-hadron colliders: luminosity and physics,” in Proceedings of the 2nd Annual Meeting of the Future Collider Study (FCC Week 2016), Rome, Italy, April 2016.
  62. Y. C. Acar, U. Kaya, B. B. Oner, and S. Sultansoy, “FCC based ep and μp colliders,” https://arxiv.org/abs/1510.08284
  63. Y. C. Acar, A. N. Akay, S. Beser et al., “FCC based Lepton-Hadron and Photon-Hadron colliders: luminosity and physics,” https://arxiv.org/abs/1608.02190
  64. U. Baur, M. Spira, and P. M. Zerwas, “Excited-quark and -lepton production at hadron colliders,” Physical Review D, vol. 42, no. 3, pp. 815–824, 1990. View at Publisher · View at Google Scholar · View at Scopus
  65. A. Belyaev, N. D. Christensen, and A. Pukhov, “CalcHEP 3.4 for collider physics within and beyond the Standard Model,” Computer Physics Communications, vol. 184, no. 7, pp. 1729–1769, 2013. View at Publisher · View at Google Scholar · View at Scopus
  66. A. Pukhov, “CalcHEP 2.3: MSSM, structure functions, event generation, batchs, and generation of matrix elements for other packages,” https://arxiv.org/abs/hep-ph/0412191
  67. A. Pukhov, E. Boos, M. Dubinin et al., “CompHEP—a package for evaluation of Feynman diagrams and integration over multi-particle phase space. User's manual for version 33,” https://arxiv.org/abs/hep-ph/9908288