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Gauge invariance at work in FDR: H → γγ

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Abstract

We present the first complete calculation performed within the Four Dimensional Regularization scheme (FDR), namely the loop-induced on-shell amplitude for the Higgs boson decay into two photons in an arbitrary R ξ gauge. FDR is a new technique-free of infinities- for addressing multi-loop calculus, which automatically preserves gauge invariance, allowing for a 4-dimensional computation at the same time. We obtained the same result as that assessed in dimensional regularization, thereby explicitly verifying, in a realistic case, that FDR respects gauge invariance.

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  1. Departamento de Física Teórica y del Cosmos and CAFPE, Universidad de Granada, Campus Fuentenueva s.n., E-18071, Granada, Spain

    Alice M. Donati & Roberto Pittau

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  1. Alice M. Donati
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  2. Roberto Pittau
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Correspondence to Roberto Pittau.

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Donati, A.M., Pittau, R. Gauge invariance at work in FDR: H → γγ . J. High Energ. Phys. 2013, 167 (2013). https://doi.org/10.1007/JHEP04(2013)167

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