Three-loop jet function for boosted heavy quarks
Abstract We compute the inclusive jet function for boosted heavy quarks to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)040 |
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| _version_ | 1850190992830889984 |
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| author | Alberto M. Clavero Robin Brüser Vicent Mateu Maximilian Stahlhofen |
| author_facet | Alberto M. Clavero Robin Brüser Vicent Mateu Maximilian Stahlhofen |
| author_sort | Alberto M. Clavero |
| collection | DOAJ |
| description | Abstract We compute the inclusive jet function for boosted heavy quarks to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . 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 ≪ 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 O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . We also confirmed that the n ℓ 2 α s 3 $$ {n}_{\ell}^2{\alpha}_s^3 $$ contribution, where n ℓ is the number of massless quark flavors, agrees with the prediction from renormalon calculus. Our computation provides the last missing piece to obtain the N3LL′ 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 N3LL′, 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 O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . Finally, we estimate the non-logarithmic contribution to the four-loop jet function based on renormalon dominance. |
| format | Article |
| id | doaj-art-e1b7e63f7d234915bd99b8b9efbe9646 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-e1b7e63f7d234915bd99b8b9efbe96462025-08-20T02:15:06ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025415110.1007/JHEP04(2025)040Three-loop jet function for boosted heavy quarksAlberto M. Clavero0Robin Brüser1Vicent Mateu2Maximilian Stahlhofen3Departamento de Física Fundamental e IUFFyM, Universidad de SalamancaPhysikalisches Institut, Albert-Ludwigs-Universität FreiburgDepartamento de Física Fundamental e IUFFyM, Universidad de SalamancaPhysikalisches Institut, Albert-Ludwigs-Universität FreiburgAbstract We compute the inclusive jet function for boosted heavy quarks to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . 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 ≪ 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 O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . We also confirmed that the n ℓ 2 α s 3 $$ {n}_{\ell}^2{\alpha}_s^3 $$ contribution, where n ℓ is the number of massless quark flavors, agrees with the prediction from renormalon calculus. Our computation provides the last missing piece to obtain the N3LL′ 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 N3LL′, 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 O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . Finally, we estimate the non-logarithmic contribution to the four-loop jet function based on renormalon dominance.https://doi.org/10.1007/JHEP04(2025)040Effective Field Theories of QCDHigher-Order Perturbative CalculationsQuark MassesTop Quark |
| spellingShingle | Alberto M. Clavero Robin Brüser Vicent Mateu Maximilian Stahlhofen Three-loop jet function for boosted heavy quarks Journal of High Energy Physics Effective Field Theories of QCD Higher-Order Perturbative Calculations Quark Masses Top Quark |
| title | Three-loop jet function for boosted heavy quarks |
| title_full | Three-loop jet function for boosted heavy quarks |
| title_fullStr | Three-loop jet function for boosted heavy quarks |
| title_full_unstemmed | Three-loop jet function for boosted heavy quarks |
| title_short | Three-loop jet function for boosted heavy quarks |
| title_sort | three loop jet function for boosted heavy quarks |
| topic | Effective Field Theories of QCD Higher-Order Perturbative Calculations Quark Masses Top Quark |
| url | https://doi.org/10.1007/JHEP04(2025)040 |
| work_keys_str_mv | AT albertomclavero threeloopjetfunctionforboostedheavyquarks AT robinbruser threeloopjetfunctionforboostedheavyquarks AT vicentmateu threeloopjetfunctionforboostedheavyquarks AT maximilianstahlhofen threeloopjetfunctionforboostedheavyquarks |