Abstract
We present the full \(\mathcal{O}(\alpha_{\mathrm{S}}^{2})\) computation of the interference effects between the Higgs diphoton signal and the continuum background at the LHC. While the main contribution to the interference originates on the gg partonic subprocess, we find that the corrections from the qg and \(q\bar{q}\) channels amount up to 35 % of it. We discuss the effect of these new subprocesses in the shift of the diphoton invariant mass peak recently reported by S. Martin in (Phys. Rev. D 86:073016, 2012).
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Notes
The details on the implementation of the lineshape [35] have a very small effect on the light Higgs discussed in this note. We rely here on a naive Breit–Wigner prescription.
Apart from a small imaginary part originated on the heavy-quark loop in the Higgs production amplitude that is discarded in this note since we rely on the effective ggH vertex. There is also an imaginary contribution in the decay process H→γγ which was included since the full expression for the vertex was used, but was found to be negligible.
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Acknowledgements
We thank L. Cieri and the participants of the Second Phenomenology Workshop (Tandil 2012) for discussions and contributions at the various stages of this work, and L. Dixon and S. Martin for helpful comments and comparisons. This work was supported in part by UBACYT, CONICET, ANPCyT and the Research Executive Agency (REA) of the European Union under the Grant Agreement number PITN-GA-2010-264564 (LHCPhenoNet).
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de Florian, D., Fidanza, N., Hernández-Pinto, R. et al. A complete \(\mathcal{O}(\alpha_{\mathrm{S}}^{2})\) calculation of the signal–background interference for the Higgs diphoton decay channel. Eur. Phys. J. C 73, 2387 (2013). https://doi.org/10.1140/epjc/s10052-013-2387-9
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DOI: https://doi.org/10.1140/epjc/s10052-013-2387-9