Analytic approximations of 2 → 2 processes with massive internal particles

Davies, Joshua; Mishima, Go; Schönwald, Kay; Steinhauser, Matthias

doi:10.1007/jhep06(2023)063

Cited by 9 publications

(1 citation statement)

References 58 publications

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“…These QCD calculations involving virtual top quarks are difficult. The successful approaches for tackling this problem are numerical approaches [6][7][8] and analytic approximations in complementary regions [9][10][11][12][13][14]. However, the calculations of NLO EW corrections are even more involved due to more internal mass scales appearing in the loop integrals, the Higgs self-coupling corrections have been computed in [15], leading Yukawa-top corrections have been computed in high energy expansion [1] and large-𝑚 𝑡 limit [16], and recently we have computed the first full EW corrections in the large-𝑚 𝑡 expansion [2].…”

Section: Introductionmentioning

confidence: 99%

Progress in two-loop electroweak corrections to 𝒈𝒈 → 𝑯𝑯 and 𝒈𝒈 → 𝒈𝑯

Zhang

2024

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2023)

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In these proceedings, we summarise our recent calculations of next-to-leading order electroweak corrections to Higgs boson pair and Higgs boson plus jet production [1,2]. The calculations are divided into different regions. In the high-energy region, we analytically calculate the Higgs boson contribution to the leading two-loop Yukawa corrections for 𝑔𝑔 → 𝐻𝐻. These corrections are generated by a single virtual Higgs boson exchange within the top quark loop. Our highenergy expansion yields precise predictions for the region where the Higgs boson transverse momenta 𝑝 𝑇 > 120 GeV. In the low-energy region, we compute the complete two-loop electroweak corrections to 𝑔𝑔 → 𝐻𝐻 and 𝑔𝑔 → 𝑔𝐻. We obtain analytic results through the large top quark mass expansion, covering all sectors of the Standard Model.

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Section: Introductionmentioning

confidence: 99%

Progress in two-loop electroweak corrections to 𝒈𝒈 → 𝑯𝑯 and 𝒈𝒈 → 𝒈𝑯

Zhang

2024

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2023)

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Two-loop non-planar four-point topology with massive internal loop

Ahmed,

Chaubey,

Kaur

et al. 2024

J. High Energ. Phys.

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We study a set of two-loop non-planar master integrals needed for the NNLO QCD corrections to diphoton and dijet production at hadron colliders. The top-sector topology contains an internal massive fermion loop and is known to contain elliptic curves. Leveraging the method of differential equations, we provide a comprehensive discussion for deriving an ϵ-factorized differential equation related to the most intricate sector within the Feynman integral family. Despite the dependence on multiple scales and the presence of two elliptic sectors, we demonstrate how to leverage the properties of their maximal cuts and the factorization of the Picard-Fuchs operator to deal with the complexity of the analytic computation. In particular, we construct a transformation matrix that brings the differential equations into a format enabling the convenient expression of analytic results in terms of Chen’s iterated integrals.

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Double Higgs production at the HL-LHC: probing a loop-enhanced model with kinematical distributions

Da Rold,

Epele,

Medina

et al. 2024

J. High Energ. Phys.

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We study di-Higgs production via gluon fusion at the high luminosity LHC in the presence of new physics, focusing on the $$b\overline{b }\gamma \gamma $$ final states. Taking a minimal set of three scalar leptoquarks (LQs) with cubic and quartic interactions with the Higgs and choosing four benchmark points with a light LQ, we perform a detailed analysis of differential distributions of the di-Higgs production cross section, studying the imprints of the new physics states running in the loops. Simulating the signal and main backgrounds, we study the influence of the new physics in differential distributions such as the invariant mass of the subsystems of final particles, the transverse momentum, and angular variables, finding in particular a resonance peak associated with the light LQ. It turns out that the angular separation of the photons, which is correlated with the resonance LQ peak, is a very sensitive observable that helps in discriminating the new physics signal from the Standard Model background. We find that for two of our benchmarks discovery could be reached with 3 ab−1, whereas exclusion limits at 95% C.L. could be claimed with 0.60–0.75 ab−1. For the other two benchmarks that have heavier LQ masses significances of order 2σ are possible for 3 ab−1. A similar analysis could be applied to other loop-enhanced models.

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Analytic approximations of 2 → 2 processes with massive internal particles

Cited by 9 publications

References 58 publications

Progress in two-loop electroweak corrections to 𝒈𝒈 → 𝑯𝑯 and 𝒈𝒈 → 𝒈𝑯

Progress in two-loop electroweak corrections to 𝒈𝒈 → 𝑯𝑯 and 𝒈𝒈 → 𝒈𝑯

Two-loop non-planar four-point topology with massive internal loop

Double Higgs production at the HL-LHC: probing a loop-enhanced model with kinematical distributions

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