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Chen X, Gehrmann T, Glover N, Huss A, Monni PF, Re E, Rottoli L, Torrielli P. Third-Order Fiducial Predictions for Drell-Yan Production at the LHC. PHYSICAL REVIEW LETTERS 2022; 128:252001. [PMID: 35802442 DOI: 10.1103/physrevlett.128.252001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/04/2022] [Revised: 04/26/2022] [Accepted: 05/23/2022] [Indexed: 06/15/2023]
Abstract
The Drell-Yan process at hadron colliders is a fundamental benchmark for the study of strong interactions and the extraction of electroweak parameters. The outstanding precision of the LHC demands very accurate theoretical predictions with a full account of fiducial experimental cuts. In this Letter we present a state-of-the-art calculation of the fiducial cross section and of differential distributions for this process at third order in the strict fixed-order expansion in the strong coupling, as well as including the all-order resummation of logarithmic corrections. Together with these results, we present a detailed study of the subtraction technique used to carry out the calculation for different sets of experimental cuts, as well as of the sensitivity of the fiducial cross section to infrared physics. We find that residual theory uncertainties are reduced to the percent level and that the robustness of the predictions can be improved by a suitable adjustment of fiducial cuts.
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Affiliation(s)
- Xuan Chen
- Institute for Theoretical Physics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany
- Institute for Astroparticle Physics, Karlsruhe Institute of Technology, 76344 Eggenstein-Leopoldshafen, Germany
| | - Thomas Gehrmann
- Department of Physics, University of Zürich, CH-8057 Zürich, Switzerland
| | - Nigel Glover
- Institute for Particle Physics Phenomenology, Physics Department, Durham University, Durham DH1 3LE, United Kingdom
| | - Alexander Huss
- CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland
| | | | - Emanuele Re
- Dipartimento di Fisica G. Occhialini, U2, Università degli Studi di Milano-Bicocca and INFN, Sezione di Milano-Bicocca, Piazza della Scienza, 3, 20126 Milano, Italy
- LAPTh, Université Grenoble Alpes, Université Savoie Mont Blanc, CNRS, F-74940 Annecy, France
| | - Luca Rottoli
- Department of Physics, University of Zürich, CH-8057 Zürich, Switzerland
| | - Paolo Torrielli
- Dipartimento di Fisica and Arnold-Regge Center, Università di Torino and INFN, Sezione di Torino, Via P. Giuria 1, I-10125, Turin, Italy
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Monni PF, Rottoli L, Torrielli P. Higgs Transverse Momentum with a Jet Veto: A Double-Differential Resummation. PHYSICAL REVIEW LETTERS 2020; 124:252001. [PMID: 32639761 DOI: 10.1103/physrevlett.124.252001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/26/2019] [Revised: 03/02/2020] [Accepted: 05/22/2020] [Indexed: 06/11/2023]
Abstract
We consider the simultaneous measurement of the Higgs (p_{t}^{H}) and the leading jet (p_{t}^{J}) transverse momentum in hadronic Higgs-boson production, and perform the resummation of the large logarithmic corrections that originate in the limit p_{t}^{H},p_{t}^{J}≪m_{H} up to next-to-next-to-leading-logarithmic order. This work constitutes the first simultaneous (double differential) resummation for two kinematic observables of which one involves a jet algorithm in hadronic collisions, and provides an important milestone in the theoretical understanding of joint resummations. As an application, we provide precise predictions for the Higgs transverse-momentum distribution with a veto p_{t}^{J}≤p_{t}^{J,v} on the accompanying jets, whose accurate description is relevant to the Higgs precision programme at the Large Hadron Collider.
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Affiliation(s)
| | - Luca Rottoli
- Dipartimento di Fisica G. Occhialini, U2, Università degli Studi di Milano-Bicocca and INFN, Sezione di Milano-Bicocca, Piazza della Scienza, 3, 20126 Milano, Italy
| | - Paolo Torrielli
- Dipartimento di Fisica and Arnold-Regge Center, Università di Torino and INFN, Sezione di Torino, Via P. Giuria 1, I-10125 Turin, Italy
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Luo MX, Yang TZ, Zhu HX, Zhu YJ. Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order. PHYSICAL REVIEW LETTERS 2020; 124:092001. [PMID: 32202853 DOI: 10.1103/physrevlett.124.092001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/17/2019] [Accepted: 02/13/2020] [Indexed: 06/10/2023]
Abstract
We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of nonstandard Feynman integrals with rapidity divergence. We introduce a set of generalized integration-by-parts equations, which allows an algorithmic evaluation of such integrals using the machinery of modern Feynman integral calculation.
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Affiliation(s)
- Ming-Xing Luo
- Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Tong-Zhi Yang
- Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Hua Xing Zhu
- Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
| | - Yu Jiao Zhu
- Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China
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Monni PF, Re E, Torrielli P. Higgs Transverse-Momentum Resummation in Direct Space. PHYSICAL REVIEW LETTERS 2016; 116:242001. [PMID: 27367384 DOI: 10.1103/physrevlett.116.242001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/22/2016] [Indexed: 06/06/2023]
Abstract
We propose a new approach to the resummation of the transverse-momentum distribution of a high-mass color-singlet system in hadronic collisions. The resummation is performed in momentum space and is free of kinematic singularities at small transverse momentum. We derive a formula accurate at the next-to-next-to-leading-logarithmic level, and present the first matched predictions to next-to-next-to-leading order for Higgs-boson production in gluon fusion at the LHC. This method can be adapted to all observables featuring kinematic cancellations in the infrared region.
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Affiliation(s)
- Pier Francesco Monni
- Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Keble Road, Oxford OX1 3NP, United Kingdom
| | - Emanuele Re
- LAPTh, Université de Savoie, CNRS, BP 110, Annecy-le-Vieux F-74941, France
| | - Paolo Torrielli
- Dipartimento di Fisica, Università di Torino and INFN, Sezione di Torino, Via P. Giuria 1, I-10125 Turin, Italy
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