Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $H\rightarrow \gamma\gamma$ as a Triangle Anomaly: Possible Implications
  for the Hierarchy Problem   The Standard Model calculation of $H\rightarrow\gamma\gamma$ has the curious
feature of being finite but regulator-dependent. While dimensional
regularization yields a result which respects the electromagnetic Ward
identities, additional terms which violate gauge invariance arise if the
calculation is done setting $d=4$. This discrepancy between the $d=4-\epsilon$
and $d=4$ results is recognized as a true ambiguity which must be resolved
using physics input; as dimensional regularization respects gauge invariance,
the $d=4-\epsilon$ calculation is accepted as the correct SM result. However,
here we point out another possibility; working in analogy with the gauge chiral
anomaly, we note that it is possible that the individual diagrams do violate
the electromagnetic Ward identities, but that the gauge-invariance-violating
terms cancel when all contributions to $H\rightarrow\gamma\gamma$, both from
the SM and from new physics, are included. We thus examine the consequences of
the hypothesis that the $d=4$ calculation is valid, but that such a
cancellation occurs. We work in general renormalizable gauge, thus avoiding
issues with momentum routing ambiguities. We point out that the
gauge-invariance-violating terms in $d=4$ arise not just for the diagram
containing a SM $W^{\pm}$ boson, but also for general fermion and scalar loops,
and relate these terms to a lack of shift invariance in Higgs tadpole diagrams.
We then derive the analogue of "anomaly cancellation conditions", and find
consequences for solutions to the hierarchy problem. In particular, we find
that supersymmetry obeys these conditions, even if it is softly broken at an
arbitrarily high scale.

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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat