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We propose a method to analyze infrared contributions to non-inclusive processes in QCD. We use the one-loop Sudakov form factor as a working example. Borrowing techniques from renormalization theory, we construct counterterms for the…

High Energy Physics - Phenomenology · Physics 2009-10-31 J. C. Collins , F. Hautmann

We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and…

High Energy Physics - Phenomenology · Physics 2011-09-13 Makiko Nagashima , Hsiang-nan Li

We considered the power corrections to the amplitude describing hard exclusive pion pair production in gamma gamma collisions at large energy and momentum transfer. In order to derive a factorization formula for the subleading power…

High Energy Physics - Phenomenology · Physics 2014-11-21 N. Kivel

We study the structure of the flat space wavefunctional in scalar field theories with nonlinearly realized symmetries. These symmetries imply soft theorems that are satisfied by wavefunction coefficients in the limit where one of the…

High Energy Physics - Theory · Physics 2023-03-29 Noah Bittermann , Austin Joyce

Many observables in QCD rely upon the resummation of perturbation theory to retain predictive power. Resummation follows after one factorizes the cross section into the rele- vant modes. The class of observables which are sensitive to soft…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jui-yu Chiu , Ambar Jain , Duff Neill , Ira Z. Rothstein

We propose a simple method to calculate the pion form factor at not very large momentum transfers, which combines the technique of the QCD sum rules with the description of the pion in terms of the set of wave functions of increasing twist.…

High Energy Physics - Phenomenology · Physics 2009-10-28 V. M. Braun , I. Halperin

We construct light-cone sum rules for various types of effective form factors in the $\Lambda_b \to \Lambda \ell^+\ell^-$ and $\Lambda_b \to \Lambda \gamma$ decays by analyzing vacuum-to-$\Lambda_b$ (or $\gamma^\ast$-to-$\Lambda_b$)…

High Energy Physics - Phenomenology · Physics 2025-07-02 Long-Shun Lu , Cai-Dian Lü , Yue-Long Shen , Yan-Bing Wei

Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure…

High Energy Physics - Phenomenology · Physics 2010-10-27 Thomas Becher , Matthias Neubert , Ben D. Pecjak

We present the first systematic investigation of the Lorentz covariance of the charge form factor for a strongly coupled scalar theory in (3+1)-dimensions. Our results are based on the first non-perturbative solution of the scalar Yukawa…

High Energy Physics - Phenomenology · Physics 2025-07-22 Wenyu Zhang , Yang Li , James P. Vary

Differential measurements of the semi-inclusive deep inelastic scattering (SIDIS) process with polarized beams provide important information on the three-dimensional structure of hadrons. Among the various observables are azimuthal…

High Energy Physics - Phenomenology · Physics 2023-06-21 Markus A. Ebert , Anjie Gao , Iain W. Stewart

Soft-collinear effective theory (SCET) has become a standard tool to study the factorization of short- and long-distance effects in processes involving low-energetic (soft) particles and high-energetic/low-virtuality (collinear) modes. In…

High Energy Physics - Phenomenology · Physics 2009-06-25 Thorsten Feldmann

It is shown that a certain sum rule for soft supersymmetry-breaking scalar masses, which has been recently found in a certain class of superstring models, is universal for gauge-Yukawa unified models. To explain this coincidence, we argue…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yoshiharu Kawamura , Tatsuo Kobayashi , Jisuke Kubo

We investigate non-linear extensions of the holographic soft wall model proposed by Karch, Katz, Son and Stephanov [1] including non-minimal couplings in the five-dimensional action. The non-minimal couplings bring a new parameter $a_0$…

High Energy Physics - Phenomenology · Physics 2022-01-05 Alfonso Ballon-Bayona , Luis A. H. Mamani , Diego M. Rodrigues

We investigate factorisation at small x using a variety of analytical and numerical techniques. Previous results on factorisation in collinear models are generalised to the case of the full BFKL equation, and illustrated in the example of a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Marcello Ciafaloni , Dimitri Colferai , Gavin P. Salam

Matrix elements of Wilson-line dressed operators play a central role in the factorization of soft and collinear modes in gauge theories. When expressed using spinor helicity variables, these so-called form factors admit a classification…

High Energy Physics - Phenomenology · Physics 2024-06-07 Timothy Cohen , Marc Riembau

Consistent factorization theorems in high-energy scattering near the threshold are presented in the framework of the soft-collinear effective theory. Traditional factorization theorem separates the soft and collinear parts successfully, but…

High Energy Physics - Phenomenology · Physics 2015-06-15 Junegone Chay , Chul Kim

We study a novel spline-like basis, which we name the "falling factorial basis", bearing many similarities to the classic truncated power basis. The advantage of the falling factorial basis is that it enables rapid, linear-time computations…

Machine Learning · Statistics 2014-10-29 Yu-Xiang Wang , Alex Smola , Ryan J. Tibshirani

We show that the reduction of a planar free spin-1/2 particle system by the constraint fixing its total angular momentum produces the one-dimensional Akulov-Pashnev-Fubini-Rabinovici superconformal mechanics model with the nontrivially…

High Energy Physics - Theory · Physics 2015-06-26 Andres Anabalon , Mikhail S. Plyushchay

In the present paper, that is the second part devoted to the construction of an electroweak model based on a nonlinear realization of the gauge group SU(2) X U(1), we study the tree-level vertex functional with all the sources necessary for…

High Energy Physics - Theory · Physics 2010-11-22 Daniele Bettinelli , Ruggero Ferrari , Andrea Quadri

Based on our recent findings regarding (non-)renormalizability of non-commutative U*(1) gauge theories [arxiv:0908.0467, arxiv:0908.1743] we present the construction of a new type of model. By introducing a soft breaking term in such a way…

High Energy Physics - Theory · Physics 2014-11-20 Daniel N. Blaschke , Arnold Rofner , Rene I. P. Sedmik , Michael Wohlgenannt