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Towards the full NLO electro-weak corrections to Higgs boson pair production

Marco Bonetti, Gudrun Heinrich, Stephen Jones, Matthias Kerner, Philipp Rendler, Thomas Stone, Augustin Vestner

TL;DR

This work tackles constraining the Higgs self-interaction through Higgs-boson pair production in gluon fusion by calculating NLO electroweak corrections focused on the top-Yukawa and Higgs self-coupling contributions. Using a simplified Yukawa-type model, the authors perform a two-loop, CP-conserving analysis with a detailed IBP reduction to 494 master integrals across 7 families and evaluate them numerically, followed by renormalization in the Fleischer–Jegerlehner tadpole scheme and a $G_\mu$-scheme for the vev. The results show a modest total-cross-section shift of about $+1\%$ for the Yukawa/self-coupling part, contrasting with a broader $-4\%$ shift reported for the full EW corrections, and reveal distinctive low-$m_{HH}$ and high-$p_{t,H}$ behaviors in differential distributions, underscoring the importance of vector-boson contributions at high energies. The study highlights that a complete, gauge-invariant EW treatment including vector bosons is essential for percent-level precision and HL-LHC phenomenology. Overall, it provides a concrete step toward full NLO EW corrections to Higgs pair production and clarifies the interplay among different EW sectors across kinematic regimes.

Abstract

Constraining the Higgs boson self-interaction is one of the main goals for the high luminosity phase of the LHC. A promising channel to this aim is the simultaneous production of two Higgs bosons from gluon fusion. For the interpretation of the data, precise theoretical predictions, also for differential cross sections, are needed. Following current projections this requires electroweak corrections at next-to-leading order. We present the contributions of top-Yukawa and Higgs self-interaction-type, as well as the first steps towards inclusion of the complete NLO electroweak corrections.

Towards the full NLO electro-weak corrections to Higgs boson pair production

TL;DR

This work tackles constraining the Higgs self-interaction through Higgs-boson pair production in gluon fusion by calculating NLO electroweak corrections focused on the top-Yukawa and Higgs self-coupling contributions. Using a simplified Yukawa-type model, the authors perform a two-loop, CP-conserving analysis with a detailed IBP reduction to 494 master integrals across 7 families and evaluate them numerically, followed by renormalization in the Fleischer–Jegerlehner tadpole scheme and a -scheme for the vev. The results show a modest total-cross-section shift of about for the Yukawa/self-coupling part, contrasting with a broader shift reported for the full EW corrections, and reveal distinctive low- and high- behaviors in differential distributions, underscoring the importance of vector-boson contributions at high energies. The study highlights that a complete, gauge-invariant EW treatment including vector bosons is essential for percent-level precision and HL-LHC phenomenology. Overall, it provides a concrete step toward full NLO EW corrections to Higgs pair production and clarifies the interplay among different EW sectors across kinematic regimes.

Abstract

Constraining the Higgs boson self-interaction is one of the main goals for the high luminosity phase of the LHC. A promising channel to this aim is the simultaneous production of two Higgs bosons from gluon fusion. For the interpretation of the data, precise theoretical predictions, also for differential cross sections, are needed. Following current projections this requires electroweak corrections at next-to-leading order. We present the contributions of top-Yukawa and Higgs self-interaction-type, as well as the first steps towards inclusion of the complete NLO electroweak corrections.

Paper Structure

This paper contains 7 sections, 8 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction
  2. Theoretical setup
  3. Calculation of the two-loop Yukawa and self-coupling correction
  4. Renormalization
  5. Results for the Yukawa and self-coupling corrections
  6. Adjustments for the inclusion of vector bosons
  7. Conclusions

Figures (1)

  • Figure 1: Impact of the different types of EW corrections on the $m_{HH}$ and $p_{t,H}$ distributions. The data for the light quark contribution have been calculated in Bonetti:2025vfd.