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We develop renormalization group methods for solving partial and stochastic differential equations on coarse meshes. Renormalization group transformations are used to calculate the precise effect of small scale dynamics on the dynamics at…

Statistical Mechanics · Physics 2009-10-31 Qing Hou , Nigel Goldenfeld , Alan McKane

We consider top-quark pair production at the LHC within the MSbar scheme for the renormalisation of the top-quark mass, and we present predictions for total and differential cross sections at next-to-next-to-leading order (NNLO) in QCD. Our…

High Energy Physics - Phenomenology · Physics 2020-08-26 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli

We analyse the top-quark decay at the next-to-next-to-leading order (NNLO) in QCD by using the Principle of Maximum Conformality (PMC) which provides a systematic way to eliminate renormalization scheme and scale ambiguities in perturbative…

High Energy Physics - Phenomenology · Physics 2023-02-08 Rui-Qing Meng , Sheng-Quan Wang , Ting Sun , Chao-Qin Luo , Jian-Ming Shen , Xing-Gang Wu

This paper introduces a kernel discrepancy-based framework for rerandomization to enhance the precision of causal inference in controlled experiments. We demonstrate that the kernel discrepancy is the key part of the variance upper bound…

Methodology · Statistics 2025-11-05 Yiou Li , Lulu Kang

We compute the next-to-next-to-leading order (NNLO) QCD correction to the total cross-section for the reaction gg \to t\bar t + X. Together with the partonic channels we computed previously, the result derived in this letter completes the…

High Energy Physics - Phenomenology · Physics 2013-08-06 Michal Czakon , Paul Fiedler , Alexander Mitov

We report on the first fully differential calculation of the next-to-next-to-leading-order (NNLO) QCD radiative corrections to the production of bottom-quark pairs at hadron colliders. The calculation is performed by using the $q_T$…

High Energy Physics - Phenomenology · Physics 2021-03-17 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli

Top quark pair production close to threshold at a next linear collider is discussed, with special focus on the influence of rescattering corrections. Numerical results are shown for the differential cross-section, i.e. the momentum…

High Energy Physics - Phenomenology · Physics 2011-03-02 M. Peter

The calculation of NLO QCD corrections to the $t\bar{t}\to W^{+}W^{-}b\bar{b}\to e^{+}\nu_e \mu^{-}\bar{\nu}_{\mu}b\bar{b}$ process with complete off-shell effects, is briefly summarized. Besides the total cross section and its scale…

High Energy Physics - Phenomenology · Physics 2011-11-24 Malgorzata Worek

We obtain a soft plus virtual approximation to the NNLO QCD contributions to the top-pair invariant mass distribution at hadron colliders. It is valid up to corrections of order m_t^2/M^2, with M the pair invariant mass. This is currently…

High Energy Physics - Phenomenology · Physics 2015-06-16 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

The top quark pair production and decay are considered in the framework of the smeared-mass unstable particles model. The results for total and differential cross sections in vicinity of $t\bar{t}$ threshold are in good agreement with the…

High Energy Physics - Phenomenology · Physics 2015-06-03 V. I. Kuksa , R. S. Pasechnik , D. E. Vlasenko

We calculate all main top-quark pair differential distributions at the Tevatron. For the first time Tevatron predictions for this process include all Standard Model corrections through NLO (referred to as complete-NLO) consistently combined…

High Energy Physics - Phenomenology · Physics 2017-12-14 Michał Czakon , David Heymes , Alexander Mitov , Davide Pagani , Ioannis Tsinikos , Marco Zaro

We consider top-anti-top production near threshold in $e^+ e^-$ collisions, resumming Coulomb-enhanced corrections at next-to-next-to-leading order (NNLO). We also sum potentially large logarithms of the small top quark velocity at the…

High Energy Physics - Phenomenology · Physics 2016-09-06 M. Beneke , A. Signer , V. A. Smirnov

We consider pair production and decay of fundamental unstable particles in the framework of a modified perturbation theory (MPT), which treats resonant contributions of unstable particles in the sense of distributions. The cross-sections…

High Energy Physics - Phenomenology · Physics 2012-10-02 M. L. Nekrasov

We present state of the art resummation predictions for differential cross sections in top-quark pair production at the LHC. They are derived from a formalism which allows the simultaneous resummation of both soft and small-mass logarithms,…

High Energy Physics - Phenomenology · Physics 2016-05-25 Benjamin D. Pecjak , Darren J. Scott , Xing Wang , Li Lin Yang

A major contribution to the uncertainty of finite-order perturbative QCD predictions is the perceived ambiguity in setting the renormalization scale $\mu_r$. For example, by using the conventional way of setting $\mu_r \in [m_t/2,2m_t]$,…

High Energy Physics - Phenomenology · Physics 2013-05-22 Stanley J. Brodsky , Xing-Gang Wu

We develop a novel real-space renormalization group (RG) scheme which accurately estimates correlation length exponent $\nu$ near criticality of higher-dimensional quantum Ising and Potts models in a transverse field. Our method is…

Statistical Mechanics · Physics 2014-02-05 Aleksander Kubica , Beni Yoshida

We present a fully differential calculation of lepton pair production, taking into account the dominant next-to-next-to-leading order QED corrections as well as next-to-leading order electroweak and polarisation effects. We include all…

High Energy Physics - Phenomenology · Physics 2023-10-19 Sophie Kollatzsch , Yannick Ulrich

We perform a renormalization group (RG) analysis of collinear hadron production in deep inelastic scattering on nuclei. We consider the limit where the parent parton energy $E$ is large, while the medium opacity $L/\lambda_g$ remains small.…

High Energy Physics - Phenomenology · Physics 2024-05-24 Weiyao Ke , Ivan Vitev

We perform an all-orders resummation of the QCD Adler D-function for the vector correlator, in which the portion of perturbative coefficients involving the leading power of b, the first beta-function coefficient, is resummed. To avoid a…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. J. Maxwell , A. Mirjalili

We present theoretical results at approximate NNLO in QCD for top-quark pair-production total cross sections and top-quark differential distributions at the LHC in the SMEFT. In this work we consider effects of new physics parametrized by…

High Energy Physics - Phenomenology · Physics 2024-10-01 Alberto Tonero , Nikolaos Kidonakis