Vol. 32 No. 1 (2022)
Papers

One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge

Khiem Hong Phan
Institute of Fundamental and Applied Sciences, Duy Tan University, Ho Chi Minh City 700000, VietnamFaculty of Natural Sciences, Duy Tan University, Da Nang City 550000, Vietnam
Dzung Tri Tran
University of Science Ho Chi Minh City, 227 Nguyen Van Cu, District 5, HCM City, Vietnam; Vietnam National University Ho Chi Minh City, Linh Trung Ward, Thu Duc District, Ho Chi Minh city, Vietnam

Published 05-01-2022

Keywords

  • One-loop corrections,
  • analytic methods for Quantum Field Theory,
  • Dimensional regu- larization,
  • Higgs phenomenology.

How to Cite

Phan, K. H., & Tran, D. T. (2022). One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge. Communications in Physics, 32(1), 77. https://doi.org/10.15625/0868-3166/16022

Abstract

In this paper, we present general one-loop form factors for \(H\rightarrow \gamma^* \gamma^*\) in \(R_{\xi}\) gauge, considering all cases of two on-shell, one on-shell and  two off-shell for final photons. The calculations are performed in standard model and in arbitrary beyond the standard models which charged scalar particles may be exchanged in one-loop diagrams. Analytic results for the form factors are shown in general forms which are expressed in terms of the Passarino-Veltman functions. We also confirm the results in previous computations which are available for the case of two on-shell photons. The \(\xi\)-independent of the result is also discussed. We find that numerical results are good stability with varying \(\xi=0,1\) and \(\xi\rightarrow \infty\).

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References

  1. A. Liss et al. [ATLAS], Physics at a High-Luminosity LHC with ATLAS, [arXiv:1307.7292 [hep-ex]].
  2. [CMS], Projected Performance of an Upgraded CMS Detector at the LHC and HL-LHC: Contribution to the Snowmass Process, [arXiv:1307.7135[hep-ex]].
  3. H. Baer, T. Barklow, K. Fujii, Y. Gao, A. Hoang, S. Kanemura, J. List, H. E. Logan, A. Nomerotski and M. Perelstein, et al. The international linear collider technical design report - Volume 2: physics, [arXiv:1306.6352 [hep-ph]].
  4. M. M. Muhlleitner, Higgs boson search at e+ e and photon linear colliders, Acta Phys. Polon. B 37 (2006) 1127.
  5. N. Watanabe, Y. Kurihara, K. Sasaki and T. Uematsu, Higgs production in two-photon process and transition form factor, Phys. Lett. B 728 (2014) 202. DOI: https://doi.org/10.1016/j.physletb.2013.11.051
  6. N. Watanabe, Y. Kurihara, T. Uematsu and K. Sasaki, Higgs boson production in e and real γ collisions, Phys. Rev. D 90(3) (2014) 033015. DOI: https://doi.org/10.1103/PhysRevD.90.033015
  7. M. Melles, W. J. Stirling and V. A. Khoze, Higgs boson production at the Compton collider, Phys. Rev. D 61 (2000) 054015. DOI: https://doi.org/10.1103/PhysRevD.61.054015
  8. P. Niezurawski, A. F. Zarnecki and M. Krawczyk, Study of the Higgs boson decays into W+ W- and ZZ at the photon collider, JHEP 11 (2002), 034. DOI: https://doi.org/10.1088/1126-6708/2002/11/034
  9. R. M. Godbole, S. D. Rindani and R. K. Singh, Study of CP property of the Higgs at a photon collider using γγtt¯-> lX, Phys. Rev. D 67 (2003) 095009. DOI: https://doi.org/10.1103/PhysRevD.67.095009
  10. T. G. Rizzo, New physics beyond the standard model at gamma gamma colliders, Nucl. Instrum. Meth. A 472 (2001) 37. DOI: https://doi.org/10.1016/S0168-9002(01)01160-3
  11. L. Resnick, M. K. Sundaresan and P. J. S. Watson, Is there a light scalar Boson? Phys. Rev. D 8 (1973) 172. DOI: https://doi.org/10.1103/PhysRevD.8.172
  12. M. A. Shifman, A. I. Vainshtein, M. B. Voloshin and V. I. Zakharov, 1465 low-energy theorems for Higgs Boson couplings to photons Sov. J. Nucl. Phys. 30 (1979) 711 [Yad. Fiz. 30 (1979) 1368].
  13. R. Gastmans, S. L. Wu and T. T. Wu, Higgs decay H -> γγ through a W loop: difficulty with dimensional regularization arXiv:1108.5322 [hep-ph].
  14. R. Gastmans, S. L. Wu and T. T. Wu, Higgs decay into two photons, revisited, arXiv:1108.5872 [hep-ph]
  15. T. T. Wu and S. L. Wu, Failure of the Feynman R1 gauge for the standard model: an explicit example Int. J. Mod. Phys. A 31 (2016) no.04n05, 1650028. DOI: https://doi.org/10.1142/S0217751X16500287
  16. M. Shifman, A. Vainshtein, M. B. Voloshin and V. Zakharov, Higgs boson decay into two photons through the W -boson loop: No decoupling in the mW -> 0 limit, Phys. Rev. D 85 (2012) 013015. DOI: https://doi.org/10.1103/PhysRevD.85.013015
  17. D. Huang, Y. Tang and Y. L. Wu, Note on Higgs Decay into two photons H -> γγ, Commun. Theor. Phys. 57 (2012) 427. DOI: https://doi.org/10.1088/0253-6102/57/3/14
  18. W. J. Marciano, C. Zhang and S. Willenbrock, Higgs decay to two photons, Phys. Rev. D 85 (2012) 013002. DOI: https://doi.org/10.1103/PhysRevD.85.013002
  19. F. Jegerlehner, Comment on H − − > γγ and the role of the decoupling theorem and the equivalence theorem, arXiv:1110.0869 [hep-ph].
  20. H. S. Shao, Y. J. Zhang and K. T. Chao, Reduction schemes in cutoff regularization and Higgs decay into two photons, JHEP 1201 (2012) 053. DOI: https://doi.org/10.1007/JHEP01(2012)053
  21. A. M. Donati and R. Pittau, Gauge invariance at work in FDR: H -> γγ JHEP 1304 (2013) 167. DOI: https://doi.org/10.1007/JHEP04(2013)167
  22. E. Christova and I. Todorov, Once more on the W-Loop contribution to the Higgs decay into two photons Bulg. J. Phys. 42 (2015) 296.
  23. J. Kile, H -> γγ , gauge invariance, and the hierarchy problem, Int. J. Mod. Phys. A 31 (2016) 1630046. DOI: https://doi.org/10.1142/S0217751X16300465
  24. S. Y. Li, Z. G. Si and X. F. Zhang, Cancellation of divergences in unitary gauge calculation of H -> γγ process via one W loop, and application, arXiv:1705.04941 [hep-ph]
  25. K. Melnikov and A. Vainshtein, Higgs boson decay to two photons and dispersion relations, Phys. Rev. D 93 (2016) no.5, 053015. DOI: https://doi.org/10.1103/PhysRevD.93.053015
  26. T. T. Wu and S. L. Wu, Comparing the Rξ gauge and the unitary gauge for the standard model: an example, Nucl. Phys. B 914 (2017) 421. DOI: https://doi.org/10.1016/j.nuclphysb.2016.11.007
  27. J. Gegelia and U. G. Meißner, Once more on the Higgs decay into two photons, Nucl. Phys. B 934 (2018) 1. DOI: https://doi.org/10.1016/j.nuclphysb.2018.06.021
  28. T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153. DOI: https://doi.org/10.1016/S0010-4655(98)00173-8
  29. A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B 734 (2006) 62. DOI: https://doi.org/10.1016/j.nuclphysb.2005.11.007
  30. H. H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276. DOI: https://doi.org/10.1016/j.cpc.2015.08.017