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| Format: | Preprint |
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2025
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| Online-Zugang: | https://arxiv.org/abs/2512.05795 |
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| _version_ | 1866909990680264704 |
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| author | Clavero, Alberto M. Mateu, Vicent Stahlhofen, Maximilian |
| author_facet | Clavero, Alberto M. Mateu, Vicent Stahlhofen, Maximilian |
| contents | We present the calculation of the inclusive jet function for highly energetic heavy quarks at order $\mathcal{O}(α_s^3)$ using boosted Heavy-Quark Effective Theory (bHQET). This jet function describes the effect of collinear radiation emitted by energetic heavy quarks on observables dependent on the jet invariant mass $M$. In particular, we focus on the regime $M^2 - m^2 \ll m^2$, which is relevant for boosted top quark production at high-energy colliders in the resonance region. Our results are consistent with non-Abelian exponentiation and reproduce the known cusp and non-cusp anomalous dimensions up to three loops. We also verify that the $n_\ell^2 α_s^3$ contribution, with $n_\ell$ denoting the number of light quark flavors, agrees with predictions from renormalon calculus. This calculation completes the list of ingredients required for the N$^3$LL$^\prime$ resummed (self-normalized) thrust distribution, an essential component for calibrating the top quark mass parameter in parton-shower Monte Carlo generators. It likewise contributes to the invariant-mass distribution of reconstructed top quarks, enabling precise mass determinations at future lepton colliders. Finally, we determine the relation between the pole and two short-distance jet-mass schemes at $\mathcal{O}(α_s^3)$ and provide an estimate of the non-logarithmic part of the four-loop jet function based on renormalon dominance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05795 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-loop jet function for boosted top quarks Clavero, Alberto M. Mateu, Vicent Stahlhofen, Maximilian High Energy Physics - Phenomenology High Energy Physics - Theory We present the calculation of the inclusive jet function for highly energetic heavy quarks at order $\mathcal{O}(α_s^3)$ using boosted Heavy-Quark Effective Theory (bHQET). This jet function describes the effect of collinear radiation emitted by energetic heavy quarks on observables dependent on the jet invariant mass $M$. In particular, we focus on the regime $M^2 - m^2 \ll m^2$, which is relevant for boosted top quark production at high-energy colliders in the resonance region. Our results are consistent with non-Abelian exponentiation and reproduce the known cusp and non-cusp anomalous dimensions up to three loops. We also verify that the $n_\ell^2 α_s^3$ contribution, with $n_\ell$ denoting the number of light quark flavors, agrees with predictions from renormalon calculus. This calculation completes the list of ingredients required for the N$^3$LL$^\prime$ resummed (self-normalized) thrust distribution, an essential component for calibrating the top quark mass parameter in parton-shower Monte Carlo generators. It likewise contributes to the invariant-mass distribution of reconstructed top quarks, enabling precise mass determinations at future lepton colliders. Finally, we determine the relation between the pole and two short-distance jet-mass schemes at $\mathcal{O}(α_s^3)$ and provide an estimate of the non-logarithmic part of the four-loop jet function based on renormalon dominance. |
| title | Three-loop jet function for boosted top quarks |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.05795 |