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Related papers: TMD Fragmentation Functions at N$^3$LO

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In this paper we calculate analytically the perturbative matching coefficients for unpolarized quark and gluon Transverse-Momentum-Dependent (TMD) Parton Distribution Functions (PDFs) and Fragmentation Functions (FFs) through…

High Energy Physics - Phenomenology · Physics 2021-07-07 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We compute the gluon transverse-momentum-dependent fragmentation function (TMDFF) at next-to-leading order (NLO) into heavy quarkonium in the color-octet $^3S_1^{[8]}$ channel, based on the NRQCD factorization approach. The spurious…

High Energy Physics - Phenomenology · Physics 2024-01-02 Miguel G. Echevarria , Samuel F. Romera , Ignazio Scimemi

We compute the quark and gluon transverse momentum dependent parton distribution functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential Higgs boson and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus A. Ebert , Bernhard Mistlberger , Gherardo Vita

We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by…

High Energy Physics - Phenomenology · Physics 2026-04-07 Yu Jiao Zhu

We calculate the unpolarized transverse momentum dependent fragmentation function (TMDFF) at next-to-next-to-leading order (NNLO), evaluating separately TMD soft factor and TMD collinear correlator. For the first time the cancellation of…

High Energy Physics - Phenomenology · Physics 2016-10-26 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-06-05 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

We present the first next-to-next-to-next-to-leading order (N$^3$LO) calculation of the twist-2 matching coefficients for transverse momentum dependent (TMD) quark transversity parton distribution and fragmentation functions in QCD. This…

High Energy Physics - Phenomenology · Physics 2026-02-03 Yu Jiao Zhu

We calculate in this paper the perturbative gluon transverse momentum dependent parton distribution functions (TMDPDFs) and fragmentation functions (TMDFFs) using the exponential regulator for rapidity divergences. We obtain results for…

High Energy Physics - Phenomenology · Physics 2020-01-29 Ming-Xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We compute the twist-2 matching of transverse momentum dependent (TMD) helicity parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD. This calculation entails the complete set of…

High Energy Physics - Phenomenology · Physics 2026-02-10 Yu Jiao Zhu

We derive the twist-3 gluon fragmentation function (FF) contribution to the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to e\Lambda^\uparrow X$, in the leading order (LO) with respect to the…

High Energy Physics - Phenomenology · Physics 2022-06-08 Riku Ikarashi , Yuji Koike , Kenta Yabe , Shinsuke Yoshida

We calculate the matching, at leading order, of the transverse momentum-dependent fragmentation functions (TMDFFs) for light quarks and gluons fragmenting to a $J/\psi$ onto polarized nonrelativistic QCD (NRQCD) TMDFFs. The NRQCD TMDFFs…

High Energy Physics - Phenomenology · Physics 2024-03-14 Marston Copeland , Sean Fleming , Rohit Gupta , Reed Hodges , Thomas Mehen

The transverse momentum-dependent fragmentation functions (TMD FFs) of heavy (bottom and charm) quarks, which we recently introduced, are universal building blocks that enter predictions for a large number of observables involving…

High Energy Physics - Phenomenology · Physics 2025-03-04 Rebecca von Kuk , Johannes K. L. Michel , Zhiquan Sun

Transverse momentum dependent distribution and fragmentation functions of unpolarized quarks inside unpolarized protons are extracted, for the first time, through a simultaneous analysis of semi-inclusive deep-inelastic scattering,…

High Energy Physics - Phenomenology · Physics 2018-01-26 Cristian Pisano , Alessandro Bacchetta , Filippo Delcarro , Marco Radici , Andrea Signori

We investigate the consistency between the collinear twist-3 factorization and the transverse-momentum-dependent (TMD) factorization for the transversely polarized hyperon production in semi-inclusive deep inelastic scattering, $ep\to…

High Energy Physics - Phenomenology · Physics 2025-12-17 Riku Ikarashi , Yuji Koike , Shinsuke Yoshida

Understanding the origin and mechanism of the transverse polarization of hyperons produced in unpolarized proton-proton collision, $pp\to \Lambda^\uparrow X$, has been one of the long-standing issues in high-energy spin physics. In the…

High Energy Physics - Phenomenology · Physics 2021-09-29 Yuji Koike , Kenta Yabe , Shinsuke Yoshida

We present for first time the computation at large $q_T$ (or small $b_T$) matching coefficients of Transverse Momentum Dependent Parton Distribution Function (TMDPDF) for linearly polarised to the integrated gluon distribution at…

High Energy Physics - Phenomenology · Physics 2019-08-19 Daniel Gutierrez-Reyes , Sergio Leal Gómez , Ignazio Scimemi , Alexey Vladimirov

It is well-known that the dominant mechanism to produce hadronic bound states with large transverse momentum is fragmentation. This mechanism is described by the fragmentation functions (FFs) which are the universal and process-independent…

High Energy Physics - Phenomenology · Physics 2016-10-19 S. M. Moosavi Nejad , P. Sartipi Yarahmadi

We present the first complete calculation for the quark and gluon $N$-jettiness ($\Tau_N$) beam functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative QCD. Our calculation is based on an expansion of the differential…

High Energy Physics - Phenomenology · Physics 2020-10-28 Markus Ebert , Bernhard Mistlberger , Gherardo Vita

The back-to-back $J/\psi$ and $\pi$ associated production at $e^+ e^-$ colliders is proposed to detect the gluon transverse momentum dependent(TMD) fragmentation functions. TMD factorization is assumed for this process. With spinless pion,…

High Energy Physics - Phenomenology · Physics 2015-04-28 Guang-Peng Zhang

Within the framework of higher-twist collinear factorization, transverse momentum broadening for the final hadrons in semi-inclusive deeply inelastic $e+A$ collisions is studied at the next-to-leading order (NLO) in perturbative QCD.…

High Energy Physics - Phenomenology · Physics 2016-12-28 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing
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