One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge
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https://doi.org/10.15625/0868-3166/16022Keywords:
One-loop corrections, analytic methods for Quantum Field Theory, Dimensional regu- larization, Higgs phenomenology.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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A. Liss et al. [ATLAS], Physics at a High-Luminosity LHC with ATLAS, [arXiv:1307.7292 [hep-ex]].
[CMS], Projected Performance of an Upgraded CMS Detector at the LHC and HL-LHC: Contribution to the Snowmass Process, [arXiv:1307.7135[hep-ex]].
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]].
M. M. Muhlleitner, Higgs boson search at e+ e− and photon linear colliders, Acta Phys. Polon. B 37 (2006) 1127.
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
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
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
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
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
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
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
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].
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].
R. Gastmans, S. L. Wu and T. T. Wu, Higgs decay into two photons, revisited, arXiv:1108.5872 [hep-ph]
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
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
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
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
F. Jegerlehner, Comment on H − − > γγ and the role of the decoupling theorem and the equivalence theorem, arXiv:1110.0869 [hep-ph].
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
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
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.
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
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]
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
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
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
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
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
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
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Accepted 21-08-2021
Published 05-01-2022
