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All (un)polarized transverse momentum dependent functions (TMDs), both distribution and fragmentation functions, are defined with the same universal soft function, which cancels spurious rapidity divergences within an individual TMD and…

High Energy Physics - Phenomenology · Physics 2016-03-09 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

Heavy-to-light transition form factors at large recoil energy of the light meson have been conjectured to obey a factorization formula, where the set of form factors is reduced to a smaller number of universal form factors up to…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Beneke , Th. Feldmann

We calculate the lowest order QCD amplitude, i.e. the quark exchange contribution, to the forward production amplitude of a pair of longitudinally polarized $\rho$ mesons in the scattering of two virtual photons $\gamma^*(Q_1) \gamma^*(Q_2)…

High Energy Physics - Phenomenology · Physics 2016-09-06 B. Pire , M. Segond , L. Szymanowski , S. Wallon

We discuss the structure of rapidity divergences that are presented in the soft factors of transverse momentum dependent (TMD) factorization theorems. To provide the discussion on the most general level we consider soft factors for…

High Energy Physics - Phenomenology · Physics 2017-09-29 Alexey Vladimirov

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

Quarkonia production in different high-energy processes has recently been proposed in order to probe gluon transverse-momentum-dependent parton distribution and fragmentation functions (TMDs in general). However, no proper factorization…

High Energy Physics - Phenomenology · Physics 2020-01-08 Miguel G. Echevarria

We outline basics of a new approach to transverse momentum dependence in hard processes. As an illustration, we consider hard exclusive transition process $\gamma^* \gamma \to \pi^0$ at the handbag level. Our starting point is coordinate…

High Energy Physics - Phenomenology · Physics 2015-06-19 A. V. Radyushkin

We discuss the generalization of the leading-twist light-cone distribution amplitude for light mesons including QED effects. This generalization was introduced to describe virtual collinear photon exchanges above the strong-interaction…

High Energy Physics - Phenomenology · Physics 2021-11-24 Martin Beneke , Philipp Böer , Jan-Niklas Toelstede , K. Keri Vos

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

We analyze effects due to transverse degrees of freedom in QCD calculations of the fundamental hard exclusive amplitude of $\gamma^*\gamma \to \pi^0$ transition. A detailed discussion is given of the relation between the modified…

High Energy Physics - Phenomenology · Physics 2014-11-17 I. V. Musatov , A. V. Radyushkin

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

In the framework of large-momentum effective theory at one-loop matching accuracy, we perform a lattice calculation of the Collins-Soper kernel which governs the rapidity evolution of transverse-momentum-dependent (TMD) distributions. We…

We propose a conjectured formula that systematically maps covariant off-shell amplitudes to light-cone wave functions in scalar field theory. Through an explicit comparison at one-loop accuracy, we establish its equivalence to the…

High Energy Physics - Theory · Physics 2026-02-10 Stéphane Munier

The light-cone distribution amplitude (LCDA) of a heavy-light meson defined in heavy quark effective theory (HQET), is a fundamental nonperturbative input to account for innumerable $B$ meson exclusive decay and production processes. On the…

High Energy Physics - Phenomenology · Physics 2020-09-30 Saadi Ishaq , Yu Jia , Xiaonu Xiong , De-Shan Yang

We describe basics of a new approach to transverse momentum dependence in hard exclusive processes. We develop it in application to the transition process \gamma^* \gamma -> \pi^0 at the handbag level. Our starting point is coordinate…

High Energy Physics - Phenomenology · Physics 2016-03-23 A. V. Radyushkin

Transverse momentum dependent (TMD) distribution and fragmentation functions are described as Fourier transforms of matrix elementscontaining nonlocal combinations of quark and gluon fields. These matrix elements also contain a gauge link…

High Energy Physics - Phenomenology · Physics 2022-03-02 P. J. Mulders , M. G. A. Buffing , A. Mukherjee

We propose a novel strategy for the perturbative resummation of transverse momentum-dependent (TMD) observables, using the $q_T$ spectra of gauge bosons ($\gamma^*$, Higgs) in $pp$ collisions in the regime of low (but perturbative)…

High Energy Physics - Phenomenology · Physics 2018-05-23 Daekyoung Kang , Christopher Lee , Varun Vaidya

In this paper we firstly demonstrate step by step that the factorization hypothesis is valid at the next-to-leading order (NLO) for the exclusive process $\rho \gamma^{\star} \to \rho$ by employing the collinear factorization approach, and…

High Energy Physics - Phenomenology · Physics 2016-02-10 Ya-lan Zhang , Shan Cheng , Jun Hua , Zhen-jun Xiao

The typical transverse momentum of a quark in the proton is a basic property of any QCD based model of nucleon structure. However, calculations in phenomenological models typically give rather small values of transverse momenta, which are…

High Energy Physics - Phenomenology · Physics 2022-02-01 A. I. Signal , F. G. Cao

In the collinear factorization of the form factor for the transition $\gamma^* \pi^0 \to \gamma$ the hard part contains double log terms as $\ln^2 x$ with $x$ as the momentum fraction of partons from 0 to 1. A simple exponentiation for…

High Energy Physics - Phenomenology · Physics 2009-11-13 F. Feng , J. P. Ma , Q. Wang
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