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Caucal P, Salazar F, Schenke B, Stebel T, Venugopalan R. Back-to-Back Inclusive Dijets in Deep Inelastic Scattering at Small x: Complete NLO Results and Predictions. PHYSICAL REVIEW LETTERS 2024; 132:081902. [PMID: 38457730 DOI: 10.1103/physrevlett.132.081902] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2023] [Revised: 01/16/2024] [Accepted: 01/30/2024] [Indexed: 03/10/2024]
Abstract
We compute the back-to-back dijet cross section in deep inelastic scattering at small x to next-to-leading order (NLO) in the color glass condensate effective field theory. Our result can be factorized into a convolution of the Weizsäcker-Williams gluon transverse-momentum-dependent distribution function (WW gluon TMD) with a universal soft factor and an NLO coefficient function. The soft factor includes both double and single logarithms in the ratio of the relative transverse momentum P_{⊥} of the dijet pair to the dijet momentum imbalance q_{⊥}; its renormalization group (RG) evolution is resummed into the Sudakov factor. Likewise, the WW TMD obeys a nonlinear RG equation in x that is kinematically constrained to satisfy both the lifetime and rapidity ordering of the projectile. Exact analytical expressions are obtained for the NLO coefficient function of transversely and longitudinally polarized photons. Our results allow for the first quantitative separation of the dynamics of Sudakov suppression from that of gluon saturation. They can be extended to other final states and provide a framework for precision tests of novel QCD many-body dynamics at the Electron-Ion Collider.
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Affiliation(s)
- Paul Caucal
- SUBATECH UMR 6457, IMT Atlantique, Université de Nantes, IN2P3/CNRS, 4 rue Alfred Kastler, 44307 Nantes, France
| | - Farid Salazar
- Lawrence Berkeley National Laboratory, Nuclear Science Division, Berkeley, California 94720, USA
- Physics Department, University of California, Berkeley, California 94720, USA
- 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
| | - Björn Schenke
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - Tomasz Stebel
- Institute of Theoretical Physics, Jagiellonian University, ulica Lojasiewicza 11, 30-348 Kraków, Poland
| | - Raju Venugopalan
- Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
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Hänninen H, Mäntysaari H, Paatelainen R, Penttala J. Proton Structure Functions at Next-to-Leading Order in the Dipole Picture with Massive Quarks. PHYSICAL REVIEW LETTERS 2023; 130:192301. [PMID: 37243632 DOI: 10.1103/physrevlett.130.192301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/11/2022] [Revised: 02/03/2023] [Accepted: 04/18/2023] [Indexed: 05/29/2023]
Abstract
We predict heavy quark production cross sections in deep inelastic scattering at high energy by applying the color glass condensate effective theory. We demonstrate that, when the calculation is performed consistently at next-to-leading order accuracy with massive quarks, it becomes possible, for the first time in the dipole picture with perturbatively calculated center-of-mass energy evolution, to simultaneously describe both the light and heavy quark production data at small x_{Bj}. Furthermore, we show how the heavy quark cross section data provides additional strong constraints on the extracted nonperturbative initial condition for the small-x_{Bj} evolution equations.
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Affiliation(s)
- Henri Hänninen
- Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Heikki Mäntysaari
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Risto Paatelainen
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
- Department of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
| | - Jani Penttala
- Department of Physics, University of Jyväskylä, P.O. Box 35, 40014 University of Jyväskylä, Finland
- Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 University of Helsinki, Finland
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Tong XB, Xiao BW, Zhang YY. Harmonics of Parton Saturation in Lepton-Jet Correlations at the Electron-Ion Collider. PHYSICAL REVIEW LETTERS 2023; 130:151902. [PMID: 37115875 DOI: 10.1103/physrevlett.130.151902] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/20/2022] [Revised: 03/20/2023] [Accepted: 03/22/2023] [Indexed: 06/19/2023]
Abstract
Parton saturation is one of the most intriguing phenomena in the high energy nuclear physics research frontier, especially in the upcoming era of the Electron-Ion Collider (EIC). The lepton-jet correlation in deep inelastic scattering provides us with a new gateway to the parton saturation at the EIC. In particular, we demonstrate that azimuthal angle anisotropies of the lepton-jet correlation are sensitive to the strength of the saturation momentum in the EIC kinematic region. In contrast to the predictions based on the collinear framework calculation, significant nuclear modification of the anisotropies is observed when we compare the saturation physics results in e+p and e+Au scatterings. By measuring these harmonic coefficients at the EIC, one can conduct quantitative analyses in different collisional systems and unveil compelling evidence for saturation effects.
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Affiliation(s)
- Xuan-Bo Tong
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, Guangdong, 518172, People's Republic of China
- University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
| | - Bo-Wen Xiao
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, Guangdong, 518172, People's Republic of China
| | - Yuan-Yuan Zhang
- School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen, Shenzhen, Guangdong, 518172, People's Republic of China
- University of Science and Technology of China, Hefei, Anhui, 230026, People's Republic of China
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Boettcher T. Studies of low- x phenomena with the LHCb detector. EPJ WEB OF CONFERENCES 2023. [DOI: 10.1051/epjconf/202327606016] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/05/2023] Open
Abstract
With a unique geometry covering the forward rapidity region, the LHCb detector provides unprecedented kinematic coverage at low Bjorken-x down to x ~ 10−5 or lower. The excellent momentum resolution, vertex reconstruction and particle identification allow precision measurements down to very low hadron transverse momentum. In this contribution we present the latest studies of the relatively unknown low-x region using the LHCb detector, including recent measurements of charged and neutral hadron production, as well as direct photon and hadron correlations in proton-proton and proton-lead collisions. Comparisons to various theoretical model calculations are also discussed.
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Liu HY, Liu XH, Shi Y, Zheng DX, Zhou J. Kinematic constraint in the BFKL evolution near threshold region. Int J Clin Exp Med 2022. [DOI: 10.1103/physrevd.106.036026] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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