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We study the resummation of large logarithmic perturbative corrections to the partonic cross sections relevant for the process pp->gamma X at high transverse momentum of the photon.These corrections arise near the threshold for the partonic…

High Energy Physics - Phenomenology · Physics 2009-11-11 Daniel de Florian , Werner Vogelsang

We show how to use extended word series in the reduction of continuous and discrete dynamical systems to normal form and in the computation of formal invariants of motion in Hamiltonian systems. The manipulations required involve complex…

Dynamical Systems · Mathematics 2015-12-01 A. Murua , J. M. Sanz-Serna

We calculate the real-space trajectory and spin precession of a generic spinning compact binary inspiral at any time instant using the dynamical renormalization group formalism. This method leads to closed-form analytic solutions to the…

General Relativity and Quantum Cosmology · Physics 2019-10-16 Zixin Yang , Adam K. Leibovich

Connecting orbits are important invariant structures in the state space of nonlinear systems and various techniques are designed for their computation. However, a uniform analytic approximation of the whole orbit seems rare. Here, based on…

Mathematical Physics · Physics 2025-07-02 Pengfei Guo , Yueheng Lan , Jianyong Qiao

We study the (exclusive) kT jet algorithm using effective field theory techniques. Regularizing the virtualities and rapidities of graphs in the soft-collinear effective theory (SCET), we are able to write the next-to-leading-order dijet…

High Energy Physics - Phenomenology · Physics 2012-04-20 William Man-Yin Cheung , Simon M. Freedman

The Renormalization Group (RG) methods are still far from being completely understood in quenched disordered systems. In order to gain insight into the nature of the phase transition of these systems, it is common to investigate simple…

Disordered Systems and Neural Networks · Physics 2014-04-02 Aurélien Decelle , Giorgio Parisi , Jacopo Rocchi

I show how a renormalization group (RG) method can be used to incrementally integrate the information in cosmological large-scale structure data sets (including CMB, galaxy redshift surveys, etc.). I show numerical tests for Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2019-03-06 Patrick McDonald

We analyze transverse thrust in the framework of Soft Collinear Effective Theory and obtain a factorized expression for the cross section that permits resummation of terms enhanced in the dijet limit to arbitrary accuracy. The factorization…

High Energy Physics - Phenomenology · Physics 2015-06-19 Thomas Becher , Xavier Garcia i Tormo

Perturbative cross-sections in QCD are beset by logarithms of kinematic invariants, whose arguments vanish when heavy particles are produced near threshold. Contributions of this type often need to be summed to all orders in the coupling,…

High Energy Physics - Phenomenology · Physics 2020-01-08 N. Bahjat-Abbas , D. Bonocore , J. Sinninghe Damsté , E. Laenen , L. Magnea , L. Vernazza , C. D. White

Renormalization group method is one of the most powerful tool to obtain approximate solutions to differential equations. We apply the renormalization group method to Hamiltonian systems whose integrable parts linearly depend on action…

chao-dyn · Physics 2007-05-23 Yoshiyuki Y. Yamaguchi , Yasusada Nambu

Most of the massive states in superstring theory are expected to undergo mass renormalization at one loop order. Typically these corrections should contain imaginary parts, indicating that the states are unstable against decay into lighter…

High Energy Physics - Theory · Physics 2016-07-25 Ashoke Sen

We propose a cross-order Laplacian renormalization group (X-LRG) scheme for arbitrary higher-order networks. The renormalization group is a pillar of the theory of scaling, scale-invariance, and universality in physics. An RG scheme based…

Statistical Mechanics · Physics 2024-02-07 Marco Nurisso , Marta Morandini , Maxime Lucas , Francesco Vaccarino , Tommaso Gili , Giovanni Petri

Can large distance high energy QCD be described by Reggeon Field Theory as an effective emergent theory? We start to investigate the issue employing functional renormalisation group techniques.

High Energy Physics - Theory · Physics 2015-06-23 J. Bartels , C. Contreras , G. P. Vacca

The renormalization group (RG) is a powerful theoretical framework developed to consistently transform the description of configurations of systems with many degrees of freedom, along with the associated model parameters and coupling…

Statistical Mechanics · Physics 2026-04-20 Andrea Gabrielli , Diego Garlaschelli , Subodh P. Patil , M. Ángeles Serrano

In calculations of (semi-) inclusive events within perturbative Quantum Chromodynamics, large logarithmic corrections arise from certain kinematic regions of interest which need to be resummed. When resumming soft gluon effects one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Carola F. Berger

In the framework of soft-collinear effective theory (SCET), we show how to formulate the resummation for a broad family of final-state, global observables in high-energy collisions in a general way that is suitable for a numerical…

High Energy Physics - Phenomenology · Physics 2020-05-20 Christian W. Bauer , Pier Francesco Monni

Many collider observables suffer from non-global logarithms not captured by standard resummation techniques. Classic examples are the light-jet mass event shape in the limit of small mass and the related hemisphere soft function. We derive…

High Energy Physics - Phenomenology · Physics 2016-12-21 Thomas Becher , Benjamin D. Pecjak , Ding Yu Shao

We show that the resummation of large radiative corrections in QCD processes can be performed both in covariant gauge and in axial gauge. We extend the resummation technique to inclusive processes, concentrating on deeply inelastic…

High Energy Physics - Phenomenology · Physics 2009-10-28 Hsiang-nan Li

The field theoretic renormalization group is applied to the stochastic Navier--Stokes equation that describes fully developed fluid turbulence. The complete two-loop calculation of the renormalization constant, the beta function and the…

Chaotic Dynamics · Physics 2007-05-23 L. Ts. Adzhemyan , N. V. Antonov , M. V. Kompaniets , A. N. Vasil'ev

An approach is suggested for analyzing time series by means of resummation techniques of theoretical physics. A particular form of such an analysis, based on the algebraic self-similar renormalization, is developed and illustrated by…

Statistical Mechanics · Physics 2009-10-30 S. Gluzman , V. I. Yukalov