Three-loop jet function for boosted heavy quarks
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910904845598720 |
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| author | Clavero, Alberto M. Brüser, Robin Mateu, Vicent Stahlhofen, Maximilian |
| author_facet | Clavero, Alberto M. Brüser, Robin Mateu, Vicent Stahlhofen, Maximilian |
| contents | We compute the inclusive jet function for boosted heavy quarks to $\mathcal{O}(α_s^3)$. The jet function is defined and calculated in the framework of boosted Heavy-Quark Effective Theory (bHQET). It describes the effect of radiation collimated in narrow jets arising from energetic heavy quarks on observables probing the jet invariant mass $M$ in the region where $M^2 - m^2 \ll m^2$, with $m$ the heavy quark mass. This kinematic situation is relevant e.g. in boosted top (pair) production at high-energy colliders. We have verified that our result satisfies non-Abelian exponentiation and checked that our calculation reproduces the known cusp and non-cusp anomalous dimensions of the jet function to $\mathcal{O}(α_s^3)$. We also confirmed that the $n_\ell^2α_s^3$ contribution, where $n_\ell$ is the number of massless quark flavors, agrees with the prediction from renormalon calculus. Our computation provides the last missing piece to obtain the N$^3$LL$^\prime$ resummed (self-normalized) thrust distribution used for the calibration of the top quark mass parameter in parton-shower Monte Carlo generators. Our result also contributes to the invariant mass distribution of reconstructed top quarks at N$^3$LL$^\prime$, which can be employed for a precise top mass determination at future lepton colliders. As a by-product, we obtain the relation between the pole and short-distance jet-mass schemes at $\mathcal{O}(α_s^3)$. Finally, we estimate the non-logarithmic contribution to the four-loop jet function based on renormalon dominance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_06881 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-loop jet function for boosted heavy quarks Clavero, Alberto M. Brüser, Robin Mateu, Vicent Stahlhofen, Maximilian High Energy Physics - Phenomenology High Energy Physics - Theory We compute the inclusive jet function for boosted heavy quarks to $\mathcal{O}(α_s^3)$. The jet function is defined and calculated in the framework of boosted Heavy-Quark Effective Theory (bHQET). It describes the effect of radiation collimated in narrow jets arising from energetic heavy quarks on observables probing the jet invariant mass $M$ in the region where $M^2 - m^2 \ll m^2$, with $m$ the heavy quark mass. This kinematic situation is relevant e.g. in boosted top (pair) production at high-energy colliders. We have verified that our result satisfies non-Abelian exponentiation and checked that our calculation reproduces the known cusp and non-cusp anomalous dimensions of the jet function to $\mathcal{O}(α_s^3)$. We also confirmed that the $n_\ell^2α_s^3$ contribution, where $n_\ell$ is the number of massless quark flavors, agrees with the prediction from renormalon calculus. Our computation provides the last missing piece to obtain the N$^3$LL$^\prime$ resummed (self-normalized) thrust distribution used for the calibration of the top quark mass parameter in parton-shower Monte Carlo generators. Our result also contributes to the invariant mass distribution of reconstructed top quarks at N$^3$LL$^\prime$, which can be employed for a precise top mass determination at future lepton colliders. As a by-product, we obtain the relation between the pole and short-distance jet-mass schemes at $\mathcal{O}(α_s^3)$. Finally, we estimate the non-logarithmic contribution to the four-loop jet function based on renormalon dominance. |
| title | Three-loop jet function for boosted heavy quarks |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.06881 |