One-loop Form Factors for \(H\rightarrow \gamma^*\gamma^*\) in \(R_{\xi}\) Gauge
Author affiliations
DOI:
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 \(\xi\rightarrow \infty\).
Downloads
References
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.
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.
M. Melles, W. J. Stirling and V. A. Khoze, Higgs boson production at the Compton collider, Phys. Rev. D 61 (2000) 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.
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.
T. G. Rizzo, New physics beyond the standard model at gamma gamma colliders, Nucl. Instrum. Meth. A 472 (2001) 37.
L. Resnick, M. K. Sundaresan and P. J. S. Watson, Is there a light scalar Boson? Phys. Rev. D 8 (1973) 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.
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.
D. Huang, Y. Tang and Y. L. Wu, Note on Higgs Decay into two photons H -> γγ, Commun. Theor. Phys. 57 (2012) 427.
W. J. Marciano, C. Zhang and S. Willenbrock, Higgs decay to two photons, Phys. Rev. D 85 (2012) 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.
A. M. Donati and R. Pittau, Gauge invariance at work in FDR: H -> γγ JHEP 1304 (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.
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.
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.
J. Gegelia and U. G. Meißner, Once more on the Higgs decay into two photons, Nucl. Phys. B 934 (2018) 1.
T. Hahn and M. Perez-Victoria, Automatized one loop calculations in four-dimensions and D-dimensions, Comput. Phys. Commun. 118 (1999) 153.
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B 734 (2006) 62.
H. H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276.
Downloads
Published
How to Cite
Issue
Section
License
Communications in Physics is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright on any research article published in Communications in Physics is retained by the respective author(s), without restrictions. Authors grant VAST Journals System (VJS) a license to publish the article and identify itself as the original publisher. Upon author(s) by giving permission to Communications in Physics either via Communications in Physics portal or other channel to publish their research work in Communications in Physics agrees to all the terms and conditions of https://creativecommons.org/licenses/by-sa/4.0/ License and terms & condition set by VJS.


