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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

We study mimetic $F(R)$ gravity with potential and Lagrange multiplier constraint. In the context of these theories, we introduce a reconstruction technique which enables us to realize arbitrary cosmologies, given the Hubble rate and an…

General Relativity and Quantum Cosmology · Physics 2016-02-17 S. D. Odintsov , V. K. Oikonomou

We design and conduct a simple experiment to study whether neural networks can perform several steps of approximate reasoning in a fixed dimensional latent space. The set of rewrites (i.e. transformations) that can be successfully performed…

Machine Learning · Computer Science 2019-09-27 Dennis Lee , Christian Szegedy , Markus N. Rabe , Sarah M. Loos , Kshitij Bansal

We propose an approach to lifted approximate inference for first-order probabilistic models, such as Markov logic networks. It is based on performing exact lifted inference in a simplified first-order model, which is found by relaxing…

Artificial Intelligence · Computer Science 2012-10-19 Guy Van den Broeck , Arthur Choi , Adnan Darwiche

We show how to perform a resummation, to all orders in perturbation theory, of a certain class of gauge invariant diagrams in Lattice QCD. These diagrams are often largely responsible for lattice artifacts. Our resummation leads to an…

High Energy Physics - Lattice · Physics 2009-10-31 H. Panagopoulos , E. Vicari

We study the role of renormalon cancellation schemes and perturbative scale choices in extractions of the strong coupling constant $\alpha_s(m_Z)$ and the leading non-perturbative shift parameter $\Omega_1$ from resummed predictions of the…

High Energy Physics - Phenomenology · Physics 2023-11-08 Guido Bell , Christopher Lee , Yiannis Makris , Jim Talbert , Bin Yan

Hamiltonian Truncation Effective Theory is a framework that aims to improve the results of Hamiltonian truncation in a systematic, order-by-order fashion using Effective Field Theory methodology. The result is a truncated effective…

High Energy Physics - Theory · Physics 2025-07-30 Ekrem Demiray , Kara Farnsworth , Rachel Houtz

In non-linear estimations, it is common to assess sampling uncertainty by bootstrap inference. For complex models, this can be computationally intensive. This paper combines optimization with resampling: turning stochastic optimization into…

Econometrics · Economics 2022-05-09 Jean-Jacques Forneron

We extend to the clover improved lattice formulation of QCD the resummation of cactus diagrams, i.e. a certain class of tadpole-like gauge invariant diagrams. Cactus resummation yields an improved perturbative expansion. We apply it to the…

High Energy Physics - Lattice · Physics 2009-10-31 H. Panagopoulos , E. Vicari

Rewriting techniques based on reduction orderings generate "just enough" consequences to retain first-order completeness. This is ideal for superposition-based first-order theorem proving, but for at least one approach to inductive…

Logic in Computer Science · Computer Science 2024-03-01 Márton Hajdu , Laura Kovács , Michael Rawson

In this work, we complete the calculation of the soft part of the two-loop integrated jet thrust distribution in e+e- annihilation. This jet mass observable is based on the thrust cone jet algorithm, which involves a veto scale for…

High Energy Physics - Phenomenology · Physics 2015-06-17 Andreas von Manteuffel , Robert M. Schabinger , Hua Xing Zhu

We study power corrections to the differential thrust, heavy jet mass and C-parameter distributions in the two-jet kinematical region in e^+e^- annihilation. We argue that away from the end-point region, e>> \Lambda_{QCD}/Q, the leading…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. P. Korchemsky , S. Tafat

We discuss the mechanism of truncations driven by the imposition of constraints. We show how the consistency of such truncations is controlled, and give general theorems that establish conditions for the correct uplifting of solutions. We…

High Energy Physics - Theory · Physics 2011-03-22 Josep M. Pons , Pere Talavera

We review the current status of small x resummation of evolution of parton distributions and of deep-inelastic coefficient functions. We show that the resummed perturbative expansion is stable, robust upon different treatments of subleading…

High Energy Physics - Phenomenology · Physics 2015-05-13 Stefano Forte , Guido Altarelli , Richard D. Ball

We propose a method for the resummation of divergent perturbative expansions in quantum electrodynamics and related field theories. The method is based on a nonlinear sequence transformation and uses as input data only the numerical values…

High Energy Physics - Phenomenology · Physics 2009-10-31 U. D. Jentschura , J. Becher , E. J. Weniger , G. Soff

We study the effect of infrared renormalons upon shape variables that are commonly used to determine the strong coupling constant in $e^+e^-$ annihilation into hadronic jets. We consider the model of QCD in the limit of large $n_f$. We find…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. Nason , M. H. Seymour

We present a combined resummation for the transverse momentum distribution of a colorless final state in perturbative QCD, expressed as a function of transverse momentum pt and the scaling variable x. Its expression satisfies three…

High Energy Physics - Phenomenology · Physics 2017-04-26 Claudio Muselli , Stefano Forte , Giovanni Ridolfi

We consider the resummation of the perturbation series describing the energy displacement of a hydrogenic bound state in an electric field (known as the Stark effect or the LoSurdo-Stark effect), which constitutes a divergent formal power…

Atomic Physics · Physics 2009-11-06 U. D. Jentschura

We show that (local) confluence of terminating locally constrained rewrite systems is undecidable, even when the underlying theory is decidable. Several confluence criteria for logically constrained rewrite systems are known. These were…

Logic in Computer Science · Computer Science 2024-07-02 Jonas Schöpf , Fabian Mitterwallner , Aart Middeldorp

We analyze truncated series generated as divergent formal solutions of non-linear ordinary differential equations. Motivating the study is a specific non-linear, first-order differential equation, which is the basis of the resurgent…

Mathematical Physics · Physics 2024-10-03 Alessio Maiezza , Juan Carlos Vasquez
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