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<p>We compute the three-loop form factors for <i>gg</i> → <i>HH</i> in the limit of vanishing transverse momentum of the Higgs boson which provides a reasonable approximation of the cross section. In our calculations we adopt the large-<i>N</i><sub><i>c</i></sub> limit and restrict ourselves to the contributions with one closed top quark loop, which already includes non-trivial non-planar Feynman diagrams. We discuss the results for top quark masses in the pole and <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13130_2025_27051_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>MS</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{\textrm{MS}} \)</EquationSource> </InlineEquation> schemes and show that the scheme dependence is significantly reduced at next-to-next-to-leading order.</p>

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Three-loop large-Nc virtual corrections to gg → HH in the forward limit

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  • 发表日期：

    2025年8月25日

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  • Joshua Davies,
  • Kay Schönwald,
  • Matthias Steinhauser

摘要

We compute the three-loop form factors for gg → HH in the limit of vanishing transverse momentum of the Higgs boson which provides a reasonable approximation of the cross section. In our calculations we adopt the large-Nc limit and restrict ourselves to the contributions with one closed top quark loop, which already includes non-trivial non-planar Feynman diagrams. We discuss the results for top quark masses in the pole and MS ¯ \( \overline{\textrm{MS}} \) schemes and show that the scheme dependence is significantly reduced at next-to-next-to-leading order.