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We define a new variable flavour number scheme for use in deep inelastic scattering, motivated by the need to consistently implement high energy resummations alongside a fixed order QCD expansion. We define the DIS(chi) scheme at fixed…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. D. White , R. S. Thorne

We calculate next-to-leading-order (NLO) correction to the pion electromagnetic form factor at leading twist in the $k_T$ factorization theorem. Partons off-shell by $k_T^2$ are considered in both quark diagrams and effective diagrams for…

High Energy Physics - Phenomenology · Physics 2015-03-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang , Hao Zou

In collider physics, jet algorithms are a ubiquitous tool for clustering particles into discrete jet objects. Event shapes offer an alternative way to characterize jets, and one can define a jet multiplicity event shape, which can take on…

High Energy Physics - Phenomenology · Physics 2015-05-18 Daniele Bertolini , Jesse Thaler , Jonathan R. Walsh

I look at the renormalization of the medium structure function and a medium induced jet function in a factorized cross section for jet substructure observables in Heavy Ion collisions. This is based on the formalism developed in…

High Energy Physics - Phenomenology · Physics 2023-04-11 Varun Vaidya

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

In this paper we survey and unify a large class or $L$-functionals of the conditional distribution of the response variable in regression models. This includes robust measures of location, scale, skewness, and heavytailedness of the…

Statistics Theory · Mathematics 2022-04-29 Ola Hössjer , Måns Karlsson

It is performed for the first time a next-to-next-to-leading order analysis of deep inelastic structure functions $F_2$ and $F_L$ using the recently determined first moments of the non-singlet anomalous dimensions and the corresponding…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. V. Kotikov , V. G. Krivokhizhin , G. Parente

We discuss recent progress concerning the resummation of large logarithms at next-to-leading power (NLP) in scattering processes near threshold. We begin by briefly reviewing the diagrammatic and SCET approach, which are used to derive…

High Energy Physics - Phenomenology · Physics 2022-08-04 Leonardo Vernazza

Leading (large) logarithms in non-renormalizable theories have been investigated in the recent past. Besides some general considerations, explicit results for the expansion coefficients (in terms of leading logarithms) of partial wave…

High Energy Physics - Phenomenology · Physics 2018-08-15 B. Ananthanarayan , Shayan Ghosh , Alexey Vladimirov , Daniel Wyler

Jets are an important probe to identify the hard interaction of interest at the LHC. They are routinely used in Standard Model precision measurements as well as in searches for new heavy particles, including jet substructure methods. In…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Pietrulewicz , Frank J. Tackmann , Wouter J. Waalewijn

In the target fragmentation region of Semi-Inclusive Deep Inelastic Scattering, the diffractively produced hadron has small transverse momentum. If it is at order of $\Lambda_{QCD}$, it prevents to make predictions with the standard…

High Energy Physics - Phenomenology · Physics 2022-01-17 K. B. Chen , J. P. Ma , X. B. Tong

Finding an efficient and compelling regularization of soft and collinear degrees of freedom at the same invariant mass scale, but separated in rapidity is a persistent problem in high-energy factorization. In the course of a calculation,…

High Energy Physics - Phenomenology · Physics 2016-04-05 Ye Li , Duff Neill , Hua Xing Zhu

We investigate the evolution of parton densities at small values of the momentum fraction, x, by including resummed anomalous dimensions in the renormalization group equations. The resummation takes into account the leading-logarithmic…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. K. Ellis , F. Hautmann , B. R. Webber

The NJL-jet model provides a sound framework for calculating the fragmentation func- tions in an effective chiral quark theory, where the momentum and isospin sum rules are satisfied without the introduction of ad hoc parameters [1].…

Nuclear Theory · Physics 2011-04-06 Hrayr H. Matevosyan , Anthony W. Thomas , Wolfgang Bentz

We obtain a prediction for the hadron-collider event-shape variable transverse thrust in which the terms enhanced in the dijet limit are resummed to next-to-next-to-leading logarithmic accuracy. Our method exploits universality properties…

High Energy Physics - Phenomenology · Physics 2016-04-11 Thomas Becher , Xavier Garcia i Tormo , Jan Piclum

The continued success of the jet substructure program will require widespread use of tracking information to enable increasingly precise measurements of a broader class of observables. The recent reformulation of jet substructure in terms…

High Energy Physics - Phenomenology · Physics 2023-08-02 Kyle Lee , Ian Moult , Felix Ringer , Wouter J. Waalewijn

Using soft collinear effective field theory, we derive the factorization theorem for the quasi-transverse-momentum-dependent (quasi-TMD) operator. We check the factorization theorem at one-loop level and compute the corresponding…

High Energy Physics - Phenomenology · Physics 2020-05-06 Alexey A. Vladimirov , Andreas Schäfer

The calculation of higher twist (or dimension) corrections to physical quantities using operator product expansions is delicate. If dimensional regularization is used to regulate the ultra-violet divergences then there are ambiguities in…

High Energy Physics - Lattice · Physics 2009-10-09 C. T. Sachrajda

We propose the use of 1-jettiness, a global event shape, for exclusive single jet production in lepton-nucleus deep inelastic scattering (DIS). We derive a factorization formula, using the Soft-Collinear Effective Theory, differential in…

High Energy Physics - Phenomenology · Physics 2014-01-13 Zhong-Bo Kang , Xiaohui Liu , Sonny Mantry , Jian-Wei Qiu

We derive a factorization theorem that describes an energetic hadron h fragmenting from a jet produced by a parton i, where the jet invariant mass is measured. The analysis yields a "fragmenting jet function" G_i^h(s,z) that depends on the…

High Energy Physics - Phenomenology · Physics 2011-02-23 Massimiliano Procura , Iain W. Stewart