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We compute the total cross section for $t\bar{t}t\bar{t}$ production at next-to-leading logarithmic (NLL$^{\prime}$) accuracy. This is the first time resummation is performed for a hadron-collider process with four colored particles in the…

High Energy Physics - Phenomenology · Physics 2025-06-11 Melissa van Beekveld , Anna Kulesza , Laura Moreno Valero

We present an algebraic algorithm for analytical calculation of arbitrary dimensionally regulated massless two-loop forward-scattering diagrams that constitute the most cumbersome part of next-to-leading order calculations in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Stepanova , F. V. Tkachov

High-energy QCD evolution beyond leading order suffers from instabilities driven by large collinear logarithms. We present a framework, consistent with the standard high-energy operator product expansion (OPE), that restores perturbative…

High Energy Physics - Phenomenology · Physics 2025-11-12 Renaud Boussarie , Paul Caucal , Piotr Korcyl , Yacine Mehtar-Tani

The complete next-to-next-to-leading order (i.e. $O(v^2)$, $O(v \alpha_s)$ and $O(\alpha_s^2)$) relativistic corrections to the total photon mediated $t\bar t$ production cross section at threshold are presented in the framework of…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. H. Hoang , T. Teubner

We present a next-to-leading order QCD calculation for the single-inclusive production of collimated jets at hadron colliders, when the jet is defined by maximizing a suitable jet function that depends on the momenta of final-state…

High Energy Physics - Phenomenology · Physics 2015-03-05 Tom Kaufmann , Asmita Mukherjee , Werner Vogelsang

The renormalization group evolution of $\Delta B=2$ transition operators is studied at leading order in heavy quark effective theory and at next-to-leading order in QCD. We calculate new contributions that were not taken into account in…

High Energy Physics - Phenomenology · Physics 2009-10-09 Gerhard Buchalla

We derive first next-to-next-to-leading logarithmic resummations for jet-veto efficiencies in Higgs and Z-boson production at hadron colliders. Matching with next-to-next-to-leading order results allows us to provide a range of…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Banfi , Pier Francesco Monni , Gavin P. Salam , Giulia Zanderighi

In future collider experiments at the TeV scale, large logarithmic corrections originating from massive boson exchange can lead to significant corrections to observable cross sections. Recently double logarithms of the Sudakov-type were…

High Energy Physics - Phenomenology · Physics 2010-03-25 Michael Melles

We consider the nonlinear wave equation (NLW) iv_t-|D|v=|v|^2v on the real line. We show that in a certain regime, the resonant dynamics is given by a completely integrable nonlinear equation called the Szego equation. Moreover, the Szego…

Analysis of PDEs · Mathematics 2011-11-28 Oana Pocovnicu

We propose a high precision algorithm for solving the Gelfand-Levitan-Marchenko equation. The algorithm is based on the block version of the Toeplitz Inner-Bordering algorithm of Levinson's type. To approximate integrals, we use the…

Numerical Analysis · Mathematics 2024-05-02 Sergey Medvedev , Irina Vaseva , Mikhail Fedoruk

One of the most challenging open problems in heavy quarkonium physics is the double charm production in $e^+e^-$ annihilation at B factories. The measured cross section of $e^+ e^- \to J/\psi + \eta_c$ is much larger than leading order (LO)…

High Energy Physics - Phenomenology · Physics 2009-11-11 Y. J. Zhang , Y. J. Gao , K. T. Chao

Existing methods for nonconvex bilevel optimization (NBO) require prior knowledge of first- and second-order problem-specific parameters (e.g., Lipschitz constants and the Polyak-{\L}ojasiewicz (P{\L}) parameters) to set step sizes, a…

Optimization and Control · Mathematics 2026-01-01 Xu Shi , Yinglin Du , Rufeng Xiao , Rujun Jiang

Dynamical low-rank (DLR) approximation methods have previously been developed for time-dependent radiation transport problems. One crucial drawback of DLR is that it does not conserve important quantities of the calculation, which limits…

Computational Physics · Physics 2021-10-04 Zhuogang Peng , Ryan G. McClarren

Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic approximation, we extended it to the next-to-leading order. Based…

High Energy Physics - Theory · Physics 2026-02-13 R. M. Iakhibbaev , D. I. Kazakov , A. I. Mukhaeva , D. M. Tolkachev

The measurements of the $\gamma\gamma$ and $b \bar b$ partial decay widths of an intermediate-mass Standard Model Higgs boson are among the most important goals of a future photon linear collider. While in an initially polarized $J_z=0$…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles , W. James Stirling

The scale of a coupling constant for rapidity-only evolution of transverse-momentum dependent (TMD) operators in the Sudakov kinematic region is calculated using the Brodsky-Lepage-Mackenzie (BLM) optimal scale setting. The effective…

High Energy Physics - Phenomenology · Physics 2022-08-17 Ian Balitsky , Giovanni A. Chirilli

Within the framework of Non-Relativistic Quantum Chromodynamics (NRQCD) factorization, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the form factors for the semileptonic decays of $B_c^*$ into $J/\psi$ via…

High Energy Physics - Phenomenology · Physics 2025-02-28 Qin Chang , Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

We compute the next-to-next-to-leading order (NNLO) QCD corrections to the hadronic decay rates of the pseudoscalar quarkonia, at the lowest order in velocity expansion. The validity of NRQCD factorization for inclusive quarkonium decay…

High Energy Physics - Phenomenology · Physics 2017-12-27 Feng Feng , Yu Jia , Wen-Long Sang

In this paper, we study the strong and weak convergence rates for multi-scale one-dimensional stochastic Burgers equation. Based on the techniques of Galerkin approximation, Kolmogorov equation and Poisson equation, we obtain the slow…

Probability · Mathematics 2022-04-08 Peng Gao , Xiaobin Sun

We present a resummation-improved prediction for $VH$ + 0 jets production at the Large Hadron Collider. We focus on highly-boosted final states in the presence of jet veto to suppress the $t{\bar t}$ background. In this case, conventional…

High Energy Physics - Phenomenology · Physics 2015-06-18 Ye Li , Xiaohui Liu