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We show that the geometry of the Wilson lines, entering the operator definition of the transverse-momentum dependent parton distributions and that of the soft factor, follows from the kinematics of the underlying physical process in…

High Energy Physics - Phenomenology · Physics 2014-04-08 A. A. Vladimirov , N. G. Stefanis

The soft factorization theorem for 4D abelian gauge theory states that the $\mathcal{S}$-matrix factorizes into soft and hard parts, with the universal soft part containing all soft and collinear poles. Similarly, correlation functions on…

High Energy Physics - Theory · Physics 2018-04-04 Anjalika Nande , Monica Pate , Andrew Strominger

Using an approach based on Soft Collinear Effective Theory (SCET) and Heavy Quark Effective Theory (HQET) we determine the $b$-quark fragmentation function from electron-positron annihilation data at the $Z$-boson peak at next-to-next-to…

High Energy Physics - Phenomenology · Physics 2016-12-21 Michael Fickinger , Sean Fleming , Chul Kim , Emanuele Mereghetti

A SU(2) effective lagrangian is extended to a $SU_{L}(3)\otimes SU_{R}(3)$ by including the vector and axial vector meson. With this effective lagrangian, electromagnetic form factors of charged pion and kaon are calculated. The…

Nuclear Theory · Physics 2009-10-31 Yun Chang Shin , Bong Soo Han , Myung Ki Cheoun , K. S Kim , Il-Tong Cheon

A momentum-dependent formulation based on a stationary spin-0 and isospin-1 dibaryon field is proposed to improve convergence of chiral effective field theory in the $\cs{1}{0}$ channel of $NN$ scattering. Although the two-parameter…

Nuclear Theory · Physics 2022-05-16 Rui Peng , Songlin Lyu , Sebastian König , Bingwei Long

The coupling of a pseudo-scalar Higgs boson to gluons is mediated through a heavy quark loop. In the limit of large quark mass, it is described by an effective Lagrangian that only admits light degrees of freedom. In this effective theory,…

High Energy Physics - Phenomenology · Physics 2016-01-20 Taushif Ahmed , Thomas Gehrmann , Prakash Mathews , Narayan Rana , V. Ravindran

We study transverse-momentum-dependent (TMD) gluon distributions and factorization theorems for the gluon-initiated semi-inclusive processes at hadron colliders. Gauge-invariant TMD gluon distributions are defined, and their relations to…

High Energy Physics - Phenomenology · Physics 2009-11-11 Xiangdong Ji , Jian-Ping Ma , Feng Yuan

Collinear factorization and color-glass condensate (CGC) effective field theory are generally treated as separate approaches for calculating scattering amplitudes, valid in different kinematic regimes. For deep inelastic scattering at high…

High Energy Physics - Phenomenology · Physics 2026-05-15 Shohini Bhattacharya , Chuan-Qi He , Zhong-Bo Kang , Diego Padilla , Jani Penttala

An alternative proof of factorization theorem for Drell-Yan process that works at operator level is given in the article. Final state interactions for such inclusive processes are proved to be cancel out at operator level according to the…

High Energy Physics - Phenomenology · Physics 2013-11-21 Gao-Liang Zhou

In this paper, using soft-collinear effective theory we study the invariant mass distribution for dijet production in $e^+e^-$-annihilation. Near threshold, where the dijet takes most of the energy, there arise the large threshold…

High Energy Physics - Phenomenology · Physics 2024-05-07 Chul Kim , Taehyun Kwon

The factorization of multi-leg gauge theory amplitudes in the soft and collinear limits provides strong constraints on the structure of amplitudes, and enables efficient calculations of multi-jet observables at the LHC. There is significant…

High Energy Physics - Phenomenology · Physics 2019-06-05 Arindam Bhattacharya , Ian Moult , Iain W. Stewart , Gherardo Vita

Chiral perturbation theory is extended to nonrelativistic systems with spontaneously broken symmetry. In the effective Lagrangian, order parameters associated with the generators of the group manifest themselves as effective coupling…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Leutwyler

We study the factorization of soft and collinear singularities in dimensionally-regularized fixed-angle scattering amplitudes in massless gauge theories. Our factorization is based on replacing the hard massless partons by light-like Wilson…

High Energy Physics - Phenomenology · Physics 2009-03-19 Einan Gardi , Lorenzo Magnea

In this work we consider how a parton distribution function, with an explicit transverse momentum dependence can be properly defined in a regularization-scheme independent manner. We argue that by considering a factorized form of the…

High Energy Physics - Phenomenology · Physics 2015-06-12 Miguel G. Echevarria , Ahmad Idilbi , Ignazio Scimemi

The soft emission factor is a central ingredient in the factorization of generic $n$-particle gauge theory amplitudes with one soft gluon in the external state. We present the complete two-loop soft factor, capturing the leading power…

High Energy Physics - Phenomenology · Physics 2024-05-24 Lance J. Dixon , Enrico Herrmann , Kai Yan , Hua Xing Zhu

I present a class of functions unifying all singular limits for the emission of soft or collinear gluons in gauge-theory amplitudes at any order in perturbation theory. Each function is a generalization of the antenna functions of ref. [1].…

High Energy Physics - Phenomenology · Physics 2009-11-10 David A. Kosower

Hard scattering processes involving hadrons at small $x$ are described by a $k_T$-factorization formula driven by a BFKL gluon. We explore the equivalence of this description to a collinear-factorization approach in which the anomalous…

High Energy Physics - Phenomenology · Physics 2016-09-01 J. Kwiecinski , A. D. Martin

A complication in proving factorization theorems in Feynman gauge is that individual graphs give a super-leading power of the hard scale when all the gluons inducing the hard scattering are longitudinally polarized. With the aid of an…

High Energy Physics - Phenomenology · Physics 2009-11-13 J. C. Collins , T. C. Rogers

We compute the leading double-soft behavior for gluons and for the scalars obtained by dimensional reduction of a higher dimensional pure gauge theory, from the scattering amplitudes of gluons and scalars living in the world-volume of a…

High Energy Physics - Theory · Physics 2016-01-27 Paolo Di Vecchia , Raffaele Marotta , Matin Mojaza

We derive a new factorization relation for the semileptonic radiative decay B -> \pi \ell \nu \gamma in the kinematical region of a slow pion p_\pi ~ \Lambda and an energetic photon E_\gamma >> \Lambda, working at leading order in…

High Energy Physics - Phenomenology · Physics 2009-11-11 Vincenzo Cirigliano , Dan Pirjol
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