English
Related papers

Related papers: The Rapidity Renormalization Group

200 papers

Phase equations describing the evolution of large scale modulation of spatially periodic patterns in two dimensional systems are derived by employing the renormalization group method. A general formula for phase diffusion coefficients is…

patt-sol · Physics 2009-10-30 Shin-ichi Sasa

Using renormalization-group methods, differential equations can be obtained for the all-orders summation of leading and subsequent non-leading logarithmic corrections to QCD perturbative series for a number of processes and correlation…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Elias

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

We construct dijet differential cross sections at large momentum transfer, in which threshold logarithms have been summed to all orders in perturbation theory. This extends previous work on heavy quark production, by treating collinear…

High Energy Physics - Phenomenology · Physics 2014-11-17 Nikolaos Kidonakis , Gianluca Oderda , George Sterman

We calculate the leading and next-to-leading logarithmic resummed distribution for the jet broadening in deep inelastic scattering, as well as the power correction for both the distribution and mean value. A truncation of the answer at NLL…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Dasgupta , G. P. Salam

We introduce an extension of a variationally optimized perturbation method, by combining it with renormalization group properties in a straightforward (perturbative) form. This leads to a very transparent and efficient procedure, with a…

High Energy Physics - Theory · Physics 2014-11-20 J. -L. Kneur , A. Neveu

In this paper, we consider a regularization strategy for the factorization method when there is noise added to the data operator. The factorization method is a qualitative method used in shape reconstruction problems. These methods are…

Analysis of PDEs · Mathematics 2023-04-05 Isaac Harris

Results of perturbation theory in quantum field theory generally depend on the renormalization scheme that is in use. In particular, they depend on the scale. We try to make perturbation theory scheme invariant by re-expanding with respect…

High Energy Physics - Phenomenology · Physics 2009-11-10 Chris Dams , Ronald Kleiss

The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $\rho = \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A…

High Energy Physics - Phenomenology · Physics 2023-06-16 Arindam Bhattacharya , Johannes K. L. Michel , Matthew D. Schwartz , Iain W. Stewart , Xiaoyuan Zhang

The renormalization group (RG) is known to provide information about radiative corrections beyond the order in perturbation theory to which one has calculated explicitly. We first demonstrate the effect of the renormalization scheme used on…

High Energy Physics - Theory · Physics 2011-07-19 V. Elias , D. G. C. McKeon , T. N. Sherry

An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and…

High Energy Physics - Phenomenology · Physics 2015-10-28 Andrew J. Larkoski , Ian Moult , Duff Neill

The Glauber series for non-global jet observables at hadron colliders simultaneously includes the super-leading logarithms alongside an arbitrary number of Glauber phases. Building on the formalism of arXiv:2405.05305, it is shown that the…

High Energy Physics - Phenomenology · Physics 2024-07-03 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

Single inclusive hadron production at forward rapidity in high energy p+A collisions is an important probe of the high gluon density regime of QCD and the associated small-$x$ formalism. We revisit an earlier one-loop calculation to…

High Energy Physics - Phenomenology · Physics 2014-08-13 Zhong-Bo Kang , Ivan Vitev , Hongxi Xing

We newly develop a renormalization group (RG) improvement for thermally resummed effective potentials. In this method, $\beta$-functions are consistently defined in resummed perturbation theories, so that order-by-order RG invariance is not…

High Energy Physics - Phenomenology · Physics 2024-03-12 Koichi Funakubo , Eibun Senaha

We develop a renormalization group (RG) procedure that includes important system-specific features. The key ingredient is to systematize the coarse graining procedure that generates the RG flow. The coarse graining technology comes from…

Statistical Mechanics · Physics 2015-05-13 David E. Reynolds

We explore the implications of recent work by Br\'ezin and Zinn-Justin, applying the renormalization group techniques from critical phenomena to the scaling limit of matrix models in two-dimensional quantum gravity. They endeavor to get the…

High Energy Physics - Theory · Physics 2009-10-22 Carles Ayala

We present predictions of the distribution of groomed heavy jet mass in electron-positron collisions at the next-to-next-to-leading order accuracy matched with the resummation of large logarithms to next-to-next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2020-08-26 Adam Kardos , Andrew J. Larkoski , Zoltán Trócsányi

Exploiting the substructure of jets observed at the LHC to better understand and interpret the experimental data has recently been a very active area of research. In this thesis we study the substructure of high-p$_T$ QCD jets, which form a…

High Energy Physics - Phenomenology · Physics 2021-11-23 Kamel Khelifa-Kerfa

The renormalization group method is a successive integration over the fluctuations which are ordered according to their length scale, a parameter in the external space. A different procedure is described, where the fluctuations are treated…

High Energy Physics - Theory · Physics 2007-05-23 Jean Alexandre , Janos Polonyi

This talk describes the work done in calculating leading logarithms in massive effective field theories. We discuss shortly leading logarithms in renormalizable theories and how they can be calculated using only one-loop calculations in…

High Energy Physics - Phenomenology · Physics 2015-09-25 Johan Bijnens , Karol Kampf , Alexey Vladimirov