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The earlier proposed conditions of (bi)quaternionic differentiability are nonlinear, give rize to the 2-spinor and the self-dual gauge structures and may be considered as the it generating system of equations (GSE) with respect to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Vladimir V. Kassandrov , Joseph A. Rizcallah

We discuss the measurement of gluon transverse momentum distribution (TMD) in dijet and heavy hadron pair (HHP) production in semi-inclusive deep inelastic scattering. The factorization of these processes in impact parameter space shows the…

High Energy Physics - Phenomenology · Physics 2022-03-14 Rafael F. del Castillo , Miguel G. Echevarria , Yiannis Makris , Ignazio Scimemi

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

Using heavy quark effective theory a factorized form for inclusive production rate of a heavy meson can be obtained, in which the nonperturbative effect related to the heavy meson can be characterized by matrix elements defined in the heavy…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. P. Ma

It is widely accepted nowadays that gluons, while massless at the level of the fundamental QCD Lagrangian,acquire an effective mass through the non-Abelian implementation of the classic Schwinger mechanism. The key dynamical ingredient that…

High Energy Physics - Phenomenology · Physics 2022-11-09 J. Papavassiliou

The form of collinear gauge invariance for power suppressed operators in the soft-collinear effective theory is discussed. Using a field redefinition we show that it is possible to make any power suppressed ultrasoft-collinear operators…

High Energy Physics - Phenomenology · Physics 2009-11-10 Christian W. Bauer , Dan Pirjol , Iain W. Stewart

We provide the last missing ingredient necessary to approximate one-loop amplitudes in QCD with massive quarks in the limit of vanishing energy of a single gluon up to terms suppressed by this energy. Our main result is a soft operator…

High Energy Physics - Phenomenology · Physics 2026-02-13 Michał Czakon , Kilian Erhard Minguez , Felix Eschment

By bosonization of an extended NJL model we derive an effective meson theory which describes the interplay between chiral symmetry and heavy quark dynamics. This effective theory is worked out in the low-energy regime using the gradient…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Ebert , T. Feldmann , R. Friedrich , H. Reinhardt

I discuss some non-perturbative aspects of hot gauge theories as related to the unscreened static magnetic interactions. I first review some of the infrared divergences which cause the breakdown of the perturbation theory. Then I show that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Edmond Iancu

I review the recent progress in studying long-distance singularities in gauge-theory scattering amplitudes in terms of Wilson lines. The non-Abelian exponentiation theorem, which has been recently generalised to the case of multi-leg…

High Energy Physics - Phenomenology · Physics 2014-01-03 Einan Gardi

We develop a version of Soft Collinear Effective Theory (SCET) which includes finite quark masses, as well as Glauber gluons that describe the interaction of collinear partons with QCD matter. In the framework of this new effective field…

High Energy Physics - Phenomenology · Physics 2017-04-07 Zhong-Bo Kang , Felix Ringer , Ivan Vitev

Assuming string theorists will not soon provide a compelling case for the primary theory underlying particle physics, the field will proceed as it has historically: with data stimulating and testing ideas. Ideally the soft supersymmetry…

High Energy Physics - Phenomenology · Physics 2009-11-10 Pierre Binetruy , G. L. Kane , Brent D. Nelson , Lian-Tao Wang , Ting T. Wang , ;

We point out mistakes made in the one-loop calculation of some diagrams for the process $\pi \gamma^* \to \gamma$ in the preprint arXiv:0807.0296, and present correct results. Especially, we have difficulty to understand their argument that…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hsiang-nan Li , Satoshi Mishima

A full non-perturbative treatment of gauge theories requires to include matter fields on equal footing with the gauge fields. Scalar matter can act as a role model for generic matter, as many questions, e.g. confinement, can be posed…

High Energy Physics - Lattice · Physics 2011-09-06 Axel Maas

We argue that through the Wilson lines, gauge invariance has as an effect that the hard functions in weighted spin-asymmetries in hadronic scattering processes are given by gluonic pole cross sections, rather than the usual partonic cross…

High Energy Physics - Phenomenology · Physics 2007-06-28 C. J. Bomhof , P. J. Mulders

We discuss cross sections for $tW$ production in proton-proton collisions at the LHC and at higher-energy colliders with energies of up to 100 TeV. We find that, remarkably, the soft-gluon corrections are numerically dominant even at very…

High Energy Physics - Phenomenology · Physics 2021-06-16 Nikolaos Kidonakis , Nodoka Yamanaka

We propose a tantalizing possibility that misinterpretation of the reconstructed missing momentum may have yielded the observed discrepancies among measurements of the $W$-mass in different collider experiments. We introduce a…

High Energy Physics - Phenomenology · Physics 2023-08-23 Triparno Bandyopadhyay , Ankita Budhraja , Samadrita Mukherjee , Tuhin S. Roy

We study planar gluon scattering amplitudes and Wilson loops in non-commutative gauge theory. Our main results are: 1. We find the map between observables in non-commutative gauge theory and their holographic dual. In that map, the region…

High Energy Physics - Theory · Physics 2009-04-17 Amit Sever

The Wilson contour integral approach is applied to resum the soft gluon radiative correctins to the quark form factors in the Sudakov regime. The one-loop order results for the quark-photon (color singlet form factor) and quark-gluon (color…

High Energy Physics - Phenomenology · Physics 2007-05-23 Igor O. Cherednikov

Effective theories provide a powerful tool for testing the Standard Model and for searching for the effects of new physics in a model-independent manner. In general one assumes that the effects of new physics characterized by a high-energy…

High Energy Physics - Phenomenology · Physics 2011-04-15 Rob Szalapski