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We calculate the transverse momentum dependent gluon-to-gluon splitting function within kT-factorization [EPJC 78 (2018) 174], generalizing the framework of [NPB 175 (1980) 27; NPB 427 (1994) 475] and extending our previous works [JHEP 01…

High Energy Physics - Phenomenology · Physics 2018-08-07 A. Kusina , M. Hentschinski , K. Kutak , M. Serino

We calculate the transverse momentum dependent gluon-to-gluon splitting function within $k_T$-factorization, generalizing the framework employed in the calculation of the quark splitting functions in [1-3] and demonstrate at the same time…

High Energy Physics - Phenomenology · Physics 2018-03-07 M. Hentschinski , A. Kusina , K. Kutak , M. Serino

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

Using the recently obtained Pgq splitting function we extend the low x evolution equation for gluons to account for contributions originating from quark-to-gluon splitting. In order to write down a consistent equation we resum virtual…

High Energy Physics - Phenomenology · Physics 2016-12-21 M. Hentschinski , A. Kusina , K. Kutak

We study the spin-dependent quark distributions at large transverse momentum. We derive their transverse momentum behaviors in the collinear factorization approach in this region. We further calculate the angular distribution of the…

High Energy Physics - Phenomenology · Physics 2013-05-29 Jian Zhou , Feng Yuan , Zuo-Tang Liang

Off-shell, transverse-momentum dependent splitting functions can be defined from the high-energy limit of partonic decay amplitudes. Based on these splitting functions, we construct Sudakov form factors and formulate a new parton branching…

High Energy Physics - Phenomenology · Physics 2022-07-27 F. Hautmann , M. Hentschinski , L. Keersmaekers , A. Kusina , K. Kutak , A. Lelek

We initiate the study of transverse momentum-dependent (TMD) fragmentation functions for heavy quarks, demonstrate their factorization in terms of novel nonperturbative matrix elements in heavy-quark effective theory (HQET), and prove new…

High Energy Physics - Phenomenology · Physics 2023-10-06 Rebecca von Kuk , Johannes K. L. Michel , Zhiquan Sun

We generalize the Catani Hautmann formalism to calculate the Pgq and Pqq transverse momentum dependent splitting functions. Then we use the obtained Pgq kernel to construct a low-x evolution equation for gluons that takes into account the…

High Energy Physics - Phenomenology · Physics 2017-08-29 A. Kusina

In this section, we discuss some basic features of transverse momentum dependent, or unintegrated, parton distribution functions. In particular, when these correlation functions are combined in a factorization formulae with hard processes…

High Energy Physics - Phenomenology · Physics 2011-02-23 P. J. Mulders , T. C. Rogers

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 non-standard…

High Energy Physics - Phenomenology · Physics 2020-06-12 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

We combine soft and collinear matrix elements to define transverse momentum dependent parton distributions (TMDs) for gluons, free from rapidity divergences. We establish a factorization theorem at next-to-leading order for the Higgs boson…

High Energy Physics - Phenomenology · Physics 2015-08-12 Tomas Kasemets

Transverse Momentum Dependent (TMD) parton distribution functions (PDFs), in short referred to as TMDs, also take into account the transverse momentum (pT) of the partons. Just as the pT-integrated analogues we want to link them to quark…

High Energy Physics - Phenomenology · Physics 2015-06-17 M. G. A. Buffing , P. J. Mulders , A. Mukherjee

In order to describe the hadronization of polarized quarks, we discuss an extension of the quark-jet model to transverse momentum dependent fragmentation functions. The description is based on a product ansatz, where each factor in the…

Nuclear Theory · Physics 2016-08-10 W. Bentz , A. Kotzinian , H. H. Matevosyan , Y. Ninomiya , A. W. Thomas , K. Yazaki

We present a short overview on transverse momentum dependent parton distribution and fragmentation functions, giving their partonic interpretation and ways to access them. We then discuss the issue of their universality and its connection…

High Energy Physics - Phenomenology · Physics 2022-03-02 Umberto D'Alesio

Parton-shower event generators that go beyond the collinear-ordering approximation at small x have so far included only gluon and valence quark channels at transverse momentum dependent level. We describe results of recent work to include…

High Energy Physics - Phenomenology · Physics 2012-07-30 F. Hautmann , M. Hentschinski , H. Jung

The quark-parton model calculation including the effects of intrinsic transverse momentum and of all six twist-two distribution functions of quarks in polarized nucleons is performed. It is demonstrated that new twist-two quark distribution…

High Energy Physics - Phenomenology · Physics 2009-07-09 Aram Kotzinian

I present some results about transverse momentum dependent distribution and fragmentation functions. Firstly I illustrate a simple model, with predictive power about the energy behavior, for T-odd, chiral odd functions. Moreover I propose a…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Di Salvo

The transverse momentum distribution of the Higgs at large $P_T$ is complicated by its dependence on three important energy scales: $P_T$, the top quark mass $m_t$, and the Higgs mass $m_H$. A strategy for simplifying the calculation of the…

High Energy Physics - Phenomenology · Physics 2018-01-17 Eric Braaten , Hong Zhang , Jia-Wei Zhang

We revisit the calculation of perturbative quark transverse momentum dependent parton distribution functions and fragmentation functions using the exponential regulator for rapidity divergences. We show that the exponential regulator…

High Energy Physics - Phenomenology · Physics 2020-01-08 Ming-Xing Luo , Xing Wang , Xiaofeng Xu , Li Lin Yang , Tong-Zhi Yang , Hua Xing Zhu

We discuss in detail a method to study transverse momentum dependent parton distribution functions (TMDs) using lattice QCD. To develop the formalism and to obtain first numerical results, we directly implement a bi-local quark-quark…

High Energy Physics - Lattice · Physics 2012-07-17 Bernhard U. Musch , Philipp Hägler , John W. Negele , Andreas Schäfer
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