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We derive an all-order factorization theorem for the narrow jet broadening event shape, a measure of the transverse momentum in jet events. This is a non-global observable which receives logarithmically enhanced contributions associated…

High Energy Physics - Phenomenology · Physics 2017-10-25 Thomas Becher , Rudi Rahn , Ding Yu Shao

We consider jet-shape observables of the type proposed recently, where the shapes of one or more high-pT jets, produced in a multi-jet event with definite jet multiplicity, may be measured leaving other jets in the event unmeasured. We…

High Energy Physics - Phenomenology · Physics 2015-03-14 Andrea Banfi , Mrinal Dasgupta , Kamel Khelifa-Kerfa , Simone Marzani

To achieve reliable predictions of the top-antitop threshold cross section at a future e+e- Linear Collider logarithms of the top velocity need to be resummed. I review the issues that make this problem complicated and show how the task can…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. H. Hoang

The precision description of jet production plays an important role in many aspects of collider physics. In a recent paper we have presented a new factorization theorem for inclusive small radius jet production. The jet function appearing…

High Energy Physics - Phenomenology · Physics 2024-10-04 Kyle Lee , Ian Moult , Xiaoyuan Zhang

Analytic methods to investigate periodic orbits in galactic potentials. To evaluate the quality of the approximation of periodic orbits in the logarithmic potential constructed using perturbation theory based on Hamiltonian normal forms.…

Astrophysics · Physics 2011-10-05 Giuseppe Pucacco , Dino Boccaletti , Cinzia Belmonte

We consider the longitudinal momentum distribution of hadrons inside jets in proton-proton collisions. At partonic threshold large double logarithmic corrections arise which need to be resummed to all orders. We develop a factorization…

High Energy Physics - Phenomenology · Physics 2020-03-18 Tom Kaufmann , Xiaohui Liu , Asmita Mukherjee , Felix Ringer , Werner Vogelsang

Analytic continuation of the perturbative series from spacelike to timelike regions is performed using renormalization group summed perturbation theory (RGSPT). This method provides an all-order summation of kinematic ``$\pi^2$-terms''…

High Energy Physics - Phenomenology · Physics 2023-09-19 M. S. A. Alam Khan

The production of vector bosons in association with jets contains at least two unrelated scales. The first is the mass of the vector boson m_V and the second is the hard interaction scale giving rise to large transverse momenta of the…

High Energy Physics - Phenomenology · Physics 2009-06-01 Christian W. Bauer , Bjorn O. Lange

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

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

Starting from a factorization theorem in effective field theory, we present resummed results for two non-global observables: the invariant-mass distribution of jets and the energy distribution outside jets. Our results include the full…

High Energy Physics - Phenomenology · Physics 2019-05-01 Marcel Balsiger , Thomas Becher , Ding Yu Shao

This is a doctoral thesis dissertation developed in the frame of theoretical QCD predictions, with focus on two main topics. On the one hand, the large-order bahavior of perturbative QCD series is discussed. By reviewing the main…

High Energy Physics - Phenomenology · Physics 2023-06-27 Nestor G. Gracia

In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as non-global logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading…

High Energy Physics - Phenomenology · Physics 2024-03-21 Thomas Becher , Nicolas Schalch , Xiaofeng Xu

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-08-09 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

Jet broadening is an event-shape variable probing the transverse momenta of particles inside jets. It has been measured precisely in e+e- annihilations and is used to extract the strong coupling constant. The factorization of the associated…

High Energy Physics - Phenomenology · Physics 2015-05-27 Thomas Becher , Guido Bell , Matthias Neubert

In order to make quantitative predictions for jet cross sections in perturbative QCD, it is essential to calculate them to next-to-leading accuracy. This has traditionally been an extremely laborious process. Using a new formalism,…

High Energy Physics - Phenomenology · Physics 2009-10-28 Stefano Catani , Michael H. Seymour

We suggest that at any given order of Feynman diagram calculation all renormalization group (RG)-predictable terms should be resummed to all-orders. This ``complete'' RG-improvement (CORGI) serves to separate the perturbation series into…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. J. Maxwell

We utilize the dynamical renormalization group formalism to calculate the real space trajectory of a compact binary inspiral for long times via a systematic resummation of secularly growing terms. This method generates closed form solutions…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Chad R. Galley , Ira Z. Rothstein

The renormalization group is used to sum the leading-log (LL) contributions to the effective action for a large constant external gauge field in terms of the one-loop renormalization group (RG) function beta, the next-to-leading-log (NLL)…

High Energy Physics - Theory · Physics 2015-05-27 D. G. C. McKeon

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