1
|
Becher T, Schalch N, Xu X. Resummation of Next-to-Leading Nonglobal Logarithms at the LHC. PHYSICAL REVIEW LETTERS 2024; 132:081602. [PMID: 38457734 DOI: 10.1103/physrevlett.132.081602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Revised: 11/02/2023] [Accepted: 01/12/2024] [Indexed: 03/10/2024]
Abstract
In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as nonglobal logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading nonglobal logarithms remained a challenge that we solve in this Letter using renormalization group methods in effective field theory. To achieve next-to-leading logarithmic accuracy, we implement the two-loop anomalous dimension governing the resummation of nonglobal logarithms into a large-N_{c} parton shower framework, together with one-loop matching corrections. As a first application, we study the interjet energy flow in e^{+}e^{-} annihilation into two jets. We then present, for the first time, resummed predictions at next-to-leading logarithmic accuracy for a gap-between-jets observable at hadron colliders.
Collapse
Affiliation(s)
- Thomas Becher
- Institut für Theoretische Physik & AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
| | - Nicolas Schalch
- Institut für Theoretische Physik & AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
| | - Xiaofeng Xu
- PRISMA+ Cluster of Excellence, Johannes Gutenberg University, 55099 Mainz, Germany
| |
Collapse
|
2
|
Ferrario Ravasio S, Hamilton K, Karlberg A, Salam GP, Scyboz L, Soyez G. Parton Showering with Higher Logarithmic Accuracy for Soft Emissions. PHYSICAL REVIEW LETTERS 2023; 131:161906. [PMID: 37925695 DOI: 10.1103/physrevlett.131.161906] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/04/2023] [Revised: 09/13/2023] [Accepted: 09/14/2023] [Indexed: 11/07/2023]
Abstract
The accuracy of parton-shower simulations is often a limiting factor in the interpretation of data from high-energy colliders. We present the first formulation of parton showers with accuracy 1 order beyond state-of-the-art next-to-leading logarithms, for classes of observables that are dominantly sensitive to low-energy (soft) emissions, specifically nonglobal observables and subjet multiplicities. This represents a major step toward general next-to-next-to-leading logarithmic accuracy for parton showers.
Collapse
Affiliation(s)
| | - Keith Hamilton
- Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
| | | | - Gavin P Salam
- Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom
- All Souls College, Oxford OX1 4AL, United Kingdom
| | - Ludovic Scyboz
- Rudolf Peierls Centre for Theoretical Physics, Clarendon Laboratory, Parks Road, Oxford OX1 3PU, United Kingdom
| | - Gregory Soyez
- CERN, Theoretical Physics Department, CH-1211 Geneva 23, Switzerland
- IPhT, Université Paris-Saclay, CNRS UMR 3681, CEA Saclay, F-91191 Gif-sur-Yvette, France
| |
Collapse
|
3
|
Becher T, Neubert M, Shao DY. Resummation of Super-Leading Logarithms. PHYSICAL REVIEW LETTERS 2021; 127:212002. [PMID: 34860102 DOI: 10.1103/physrevlett.127.212002] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/07/2021] [Accepted: 10/20/2021] [Indexed: 06/13/2023]
Abstract
Jet cross sections at high-energy colliders exhibit intricate patterns of logarithmically enhanced higher-order corrections. In particular, so-called nonglobal logarithms emerge from soft radiation emitted off energetic partons inside jets. While this is a single-logarithmic effect at lepton colliders, at hadron colliders phase factors in the amplitudes lead to double-logarithmic corrections starting at four-loop order. This effect was discovered a long time ago, but not much is known about the higher-order behavior of these terms and their process dependence. We derive, for the first time, the all-order structure of these "super-leading logarithms" for generic 2→l scattering processes at hadron colliders and resum them in closed form.
Collapse
Affiliation(s)
- Thomas Becher
- Institut für Theoretische Physik & AEC, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland
| | - Matthias Neubert
- PRISMA+ Cluster of Excellence & MITP, Johannes Gutenberg University, 55099 Mainz, Germany
- Department of Physics, LEPP, Cornell University, Ithaca, New York 14853, USA
| | - Ding Yu Shao
- Department of Physics, Center for Field Theory and Particle Physics & Key Laboratory of Nuclear Physics and Ion-beam Application (MOE), Fudan University, Shanghai 200433, China
| |
Collapse
|
4
|
Höche S, Reichelt D. Numerical resummation at subleading color in the strongly ordered soft gluon limit. Int J Clin Exp Med 2021. [DOI: 10.1103/physrevd.104.034006] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
|
5
|
Kang ZB, Liu X, Mantry S, Shao DY. Jet Charge: A Flavor Prism for Spin Asymmetries at the Electron-Ion Collider. PHYSICAL REVIEW LETTERS 2020; 125:242003. [PMID: 33412017 DOI: 10.1103/physrevlett.125.242003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/13/2020] [Revised: 09/29/2020] [Accepted: 11/05/2020] [Indexed: 06/12/2023]
Abstract
We propose the jet charge observable as a novel probe of flavor structure in the nucleon spin program at the electron ion collider (EIC) and develop the underlying framework from first principles. We show that jet charge measurements can substantially enhance the sensitivity of spin asymmetries to different partonic flavors in the nucleon. This sensitivity can be further improved by constructing the jet charge using only a subset of hadron species (pions or kaons) in the jet. As an example, we use the Sivers asymmetry in back-to-back electron-jet production at the EIC to show that the jet charge can be a unique tool in constraining the Sivers function for different partonic flavors.
Collapse
Affiliation(s)
- Zhong-Bo Kang
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
- Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles, California 90095, USA
- Center for Frontiers in Nuclear Science, Stony Brook University, Stony Brook, New York 11794, USA
| | - Xiaohui Liu
- Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
- Center for High Energy Physics, Peking University, Beijing 100871, China
| | - Sonny Mantry
- Department of Physics and Astronomy, University of North Georgia, Dahlonega, Georgia 30597, USA
| | - Ding Yu Shao
- Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA
- Mani L. Bhaumik Institute for Theoretical Physics, University of California, Los Angeles, California 90095, USA
- Center for Frontiers in Nuclear Science, Stony Brook University, Stony Brook, New York 11794, USA
| |
Collapse
|
6
|
Gutierrez-Reyes D, Scimemi I, Waalewijn WJ, Zoppi L. Transverse-Momentum-Dependent Distributions with Jets. PHYSICAL REVIEW LETTERS 2018; 121:162001. [PMID: 30387645 DOI: 10.1103/physrevlett.121.162001] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/25/2018] [Indexed: 06/08/2023]
Abstract
We investigate the use of jets to measure transverse-momentum-dependent distributions (TMDs). The example we use to present our framework is the dijet momentum decorrelation at lepton colliders. Translating this momentum decorrelation into an angle θ≪1, we analyze the factorization of the cross section for the cases θ≫R, θ∼R, and θ≪R, where R is the jet radius. Critically, for the winner-take-all axis, the jet TMD has the same double-scale renormalization group evolution as TMD fragmentation functions for all radii R. TMD fragmentation functions in factorization theorems may then simply be replaced by the jet TMDs we calculate, and all ingredients to perform the resummation to next-to-next-to-leading logarithmic accuracy are available. Our approach also applies to semi-inclusive deep inelastic scattering, where a jet instead of a hadron is measured in the final state, and we find a clean method to probe the intrinsic transverse momentum of quarks and gluons in the proton that is less sensitive to final-state nonperturbative effects.
Collapse
Affiliation(s)
- Daniel Gutierrez-Reyes
- Departamento de Física Teórica, Universidad Complutense de Madrid (UCM), E-28040 Madrid, Spain
| | - Ignazio Scimemi
- Departamento de Física Teórica, Universidad Complutense de Madrid (UCM), E-28040 Madrid, Spain
| | - Wouter J Waalewijn
- Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
- Nikhef, Theory Group, Science Park 105, 1098 XG Amsterdam, Netherlands
| | - Lorenzo Zoppi
- Institute for Theoretical Physics Amsterdam and Delta Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands
- Nikhef, Theory Group, Science Park 105, 1098 XG Amsterdam, Netherlands
| |
Collapse
|
7
|
Liu X, Moch SO, Ringer F. Threshold and Jet Radius Joint Resummation for Single-Inclusive Jet Production. PHYSICAL REVIEW LETTERS 2017; 119:212001. [PMID: 29219398 DOI: 10.1103/physrevlett.119.212001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/25/2017] [Indexed: 06/07/2023]
Abstract
We present the first threshold and jet radius jointly resummed cross section for single-inclusive hadronic jet production. We work at next-to-leading logarithmic accuracy and our framework allows for a systematic extension beyond the currently achieved precision. Long-standing numerical issues are overcome by performing the resummation directly in momentum space within soft collinear effective theory. We present the first numerical results for the LHC and observe an improved description of the available data. Our results are of immediate relevance for LHC precision phenomenology including the extraction of parton distribution functions and the QCD strong coupling constant.
Collapse
Affiliation(s)
- Xiaohui Liu
- Center of Advanced Quantum Studies, Department of Physics, Beijing Normal University, Beijing 100875, China
| | - Sven-Olaf Moch
- II. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany
| | - Felix Ringer
- Nuclear Science Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| |
Collapse
|
8
|
Chien YT, Vitev I. Probing the Hardest Branching within Jets in Heavy-Ion Collisions. PHYSICAL REVIEW LETTERS 2017; 119:112301. [PMID: 28949214 DOI: 10.1103/physrevlett.119.112301] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/09/2016] [Indexed: 06/07/2023]
Abstract
Heavy ion collisions present exciting opportunities to study the effects of quantum coherence in the formation of subatomic particle showers. We report on the first calculation of the momentum sharing and angular separation distributions between the leading subjets inside a reconstructed jet in such collisions. These observables are directly sensitive to the hardest branching within jets and can probe the early stage of the jet formation. We find that the leading-order medium-induced splitting functions, here obtained in the framework of soft-collinear effective theory with Glauber gluon interactions, capture the essential many-body physics, which is different from proton-proton reactions. Qualitative and in most cases quantitative agreement between theory and preliminary CMS measurements suggests that hard parton branching in strongly interacting matter can be dramatically modified. We also propose a new measurement that will illuminate its angular structure.
Collapse
Affiliation(s)
- Yang-Ting Chien
- Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
- Theoretical Division, T-2, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
- Erwin Schrödinger International Institute for Mathematical Physics, Universität Wien, 1090 Wien, Austria
| | - Ivan Vitev
- Theoretical Division, T-2, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| |
Collapse
|