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<p>We compute two-loop helicity amplitudes in QCD for diphoton production through quark- and gluon-initiated channels, accounting for a massive internal quark loop by keeping its full mass dependence. Using physical projectors, we directly decompose the amplitude into its helicity components. By renormalising the heavy quark mass in on-shell, and other quantities in <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\overline{\text{MS} }\)</EquationSource> </InlineEquation> schemes, we obtain finite remainders. We provide benchmark values of the helicity amplitudes, expressed in terms of a canonical basis for all the non-elliptic integrals. We also present our findings through plots. The effect of a heavy quark is expected to play a crucial role in high-luminosity LHC.</p>

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Two-loop helicity amplitudes for diphoton production with massive quark loop

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  • 发表日期：

    2025年12月15日

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  • Taushif Ahmed,
  • Amlan Chakraborty,
  • Ekta Chaubey,
  • Mandeep Kaur

摘要

We compute two-loop helicity amplitudes in QCD for diphoton production through quark- and gluon-initiated channels, accounting for a massive internal quark loop by keeping its full mass dependence. Using physical projectors, we directly decompose the amplitude into its helicity components. By renormalising the heavy quark mass in on-shell, and other quantities in \(\overline{\text{MS} }\) schemes, we obtain finite remainders. We provide benchmark values of the helicity amplitudes, expressed in terms of a canonical basis for all the non-elliptic integrals. We also present our findings through plots. The effect of a heavy quark is expected to play a crucial role in high-luminosity LHC.