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In the $k_T$-factorization for exclusive processes, the nontrivial $k_T$-dependence of perturbative coefficients, or hard parts, is obtained by taking off-shell partons. This brings up the question of whether the $k_T$-factorization is…

High Energy Physics - Phenomenology · Physics 2009-04-06 F. Feng , J. P. Ma , Q. Wang

We show in detail that the $k_T$-factorization for exclusive processes is gauge-dependent and inconsistent.

High Energy Physics - Phenomenology · Physics 2011-06-15 F. Feng , J. P. Ma , Q. Wang

We prove $k_T$ factorization theorem in perturbative QCD (PQCD) for exclusive processes by considering $\pi\gamma^*\to \gamma(\pi)$ and $B\to\gamma(\pi) l\bar\nu$. The relevant form factors are expressed as the convolution of hard…

High Energy Physics - Phenomenology · Physics 2009-11-07 Makiko Nagashima , Hsiang-nan Li

We calculate next-to-leading-order (NLO) corrections to exclusive processes in $k_T$ factorization theorem, taking $\pi\gamma^*\to\gamma$ as an example. Partons off-shell by $k_T^2$ are considered in both the quark diagrams from full QCD…

High Energy Physics - Phenomenology · Physics 2008-11-26 Soumitra Nandi , Hsiang-nan Li

Exclusive processes in hard electroproduction are one of the best place for understanding QCD in view of its factorization properties. In particular, in the limit of asymptotic gamma* p center of mass energy, they give an access to the…

High Energy Physics - Phenomenology · Physics 2010-11-19 I. V. Anikin , D. Yu. Ivanov , B. Pire , L. Szymanowski , S. Wallon

Exclusive processes in hard electroproduction is one of the best place for understanding the factorization properties of QCD. The HERA experiment recently provided precise data for rho electroproduction, including all spin density matrix…

High Energy Physics - Phenomenology · Physics 2014-11-20 I. V. Anikin , D. Yu. Ivanov , B. Pire , L. Szymanowski , S. Wallon

We exhibit an exclusive process, namely the photoproduction of a $\pi^{0}\gamma$ pair with large invariant mass, which violates collinear factorization. We explicitly demonstrate that this is due to the fact that there exists diagrams with…

High Energy Physics - Phenomenology · Physics 2024-09-25 Saad Nabeebaccus , Jakob Schoenleber , Lech Szymanowski , Samuel Wallon

Within the kt-factorization approach, we evaluate the impact factor of the transition gamma* -> rhoT taking into account the twist 3 contributions. We show that a gauge invariant expression is obtained with the help of QCD equations of…

High Energy Physics - Phenomenology · Physics 2009-09-23 I. V. Anikin , D. Yu. Ivanov , B. Pire , L. Szymanowski , S. Wallon

We consider the exclusive photoproduction of a $\pi^0 \gamma$ pair with large invariant mass, as a promising channel to study the effects of gluon saturation. It has recently been demonstrated that this process is incompatible with a…

High Energy Physics - Phenomenology · Physics 2025-11-17 Michael Fucilla , Saad Nabeebaccus , Lech Szymanowski , Samuel Wallon , Joseph Yarwick

Within the theoretical framework we apply, a suggested origin for single spin asymmetries is the presence of gauge links in transverse momentum dependent distribution functions. Recently we found new gauge link structures in a number of…

High Energy Physics - Phenomenology · Physics 2014-11-18 F. Pijlman

The k_T-factorization has been widely used for exclusive decays of B-mesons. In this factorization the pertubative coefficients are extracted from scattering of off-shell partons. Because the off-shellness of partons the extracted…

High Energy Physics - Phenomenology · Physics 2009-01-21 F. Feng , J. P. Ma , Q. Wang

We prove factorization theorem for the processes $\pi\gamma^*\to\gamma$ and $\pi\gamma^*\to\pi$ to leading twist in the covariant gauge by means of the Ward identity. Soft divergences cancel and collinear divergences are grouped into a pion…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hsiang-nan Li

Contrary to what has been often claimed in the literature, we clarify that the hard photon-gluon cross section $\gg_{\rm hard}(x)$ in polarized deep inelastic scattering calculated in the gauge-invariant factorization scheme does {\it not}…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hai-Yang Cheng

Exclusive electroproduction of vector mesons is a crucial way to probe QCD factorization properties. Such a factorization is up to now only proven, at the twist 2 level, for a longitudinaly polarized meson. It is crucial to extend our…

High Energy Physics - Phenomenology · Physics 2011-04-22 I. V. Anikin , D. Yu. Ivanov , B. Pire , L. Szymanowski , S. Wallon

We prove a factorization theorem for heavy-to-light form factors. Our result differs in several important ways from previous proposals. A proper separation of scales gives hard kernels that are free of endpoint singularities. A general…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

We prove factorization and gauge invariance of the twist-3 single-spin-dependent cross section in the leading order perturbative QCD, which was missing in the previous literature. We emphasize that the consistency relation from the Ward…

High Energy Physics - Phenomenology · Physics 2007-06-19 Yuji Koike , Kazuhiro Tanaka

The factorisation of the hard amplitude for exclusive meson production in deep inelastic scattering is considered in the framework of a simple model. It is demonstrated explicitly how gauge invariance ensures the cancellation of…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Hebecker , P. V. Landshoff

We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure. Assuming locality (that the singularities are…

High Energy Physics - Theory · Physics 2018-06-13 Nima Arkani-Hamed , Laurentiu Rodina , Jaroslav Trnka

A new method is proposed to calculate wave functions in $k_T$-factorization in \cite{LiMi} as a comment about our paper \cite{FMW}. We point out that the results obtained with the method are in conflict with the translation invariance and…

High Energy Physics - Phenomenology · Physics 2009-12-04 F. Feng , J. P. Ma , Q. Wang

We outline a proof of factorization in exclusive processes, taking into account the presence of soft and collinear modes of arbitrarily low energy, which arise when the external lines of the process are taken on shell. Specifically, we…

High Energy Physics - Phenomenology · Physics 2010-06-28 Geoffrey T. Bodwin , Xavier Garcia i Tormo , Jungil Lee
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