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We present an algorithm for computing depth-optimal decompositions of logical operations, leveraging a meet-in-the-middle technique to provide a significant speed-up over simple brute force algorithms. As an illustration of our method we…

Quantum Physics · Physics 2013-11-28 Matthew Amy , Dmitri Maslov , Michele Mosca , Martin Roetteler

A new algorithm for jet finding in hadronic collisions is presented. The algorithm, based on a Gaussian filter in $(\eta,\phi)$, is specifically intended for use in heavy ion collisions and/or for detectors with limited acceptance. The…

Nuclear Experiment · Physics 2008-06-10 Yue-Shi Lai , Brian A. Cole

We have calculated the diffractive dijet cross section in low-Q^2 ep scattering in the HERA regime. The results of the calculation in LO and NLO are compared to recent experimental data of the H1 collaboration. We find that in LO the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Klasen , G. Kramer

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 propose a localized divide and conquer algorithm for inverse factorization $S^{-1} = ZZ^*$ of Hermitian positive definite matrices $S$ with localized structure, e.g. exponential decay with respect to some given distance function on the…

Numerical Analysis · Mathematics 2019-04-11 Emanuel H. Rubensson , Anton G. Artemov , Anastasia Kruchinina , Elias Rudberg

Discriminating between quark- and gluon-initiated jets has long been a central focus of jet substructure, leading to the introduction of numerous observables and calculations to high perturbative accuracy. At the same time, there have been…

High Energy Physics - Phenomenology · Physics 2022-12-28 Samuel Bright-Thonney , Ian Moult , Benjamin Nachman , Stefan Prestel

We perform the leading logarithmic resummation of nonglobal logarithms for the single-hemisphere jet mass distribution in $e^+e^-$ annihilation including the finite-$N_c$ corrections. The result is compared with the previous all-order…

High Energy Physics - Phenomenology · Physics 2016-04-20 Yoshikazu Hagiwara , Yoshitaka Hatta , Takahiro Ueda

We have recently derived a factorization formula for the Higgs-boson production cross section in the presence of a jet veto, which allows for a systematic resummation of large Sudakov logarithms of the form alpha_s^n ln^m(p_T^veto/m_H),…

High Energy Physics - Phenomenology · Physics 2015-06-16 Thomas Becher , Matthias Neubert , Lorena Rothen

The air-gap macro element is reformulated such that rotation, rotor or stator skewing and rotor eccentricity can be incorporated easily. The air-gap element is evaluated using Fast Fourier Transforms which in combination with the Conjugate…

Computational Engineering, Finance, and Science · Computer Science 2023-12-29 Herbert De Gersem , Thomas Weiland

Let n be any odd natural number other than a perfect square, in this article it is demonstrated that this new factorization algorithm is much more efficient than the implementation technique [2,3 p.1470], described in this article, of the…

General Mathematics · Mathematics 2025-08-27 Savino Detto

Monte-Carlo generator with photon jets radiation in collinear regions for the process \eegg is described in detail. Radiative corrections in the first order of $\alpha$ are treated exactly. Large leading logarithmic corrections coming from…

High Energy Physics - Experiment · Physics 2011-06-13 S. I. Eidelman , G. V. Fedotovich , E. A. Kuraev , A. L. Sibidanov

We have calculated the diffractive dijet cross section in low-Q^2 ep scattering in the HERA regime. The results of the calculation in LO and NLO are compared to recent experimental data of the H1 collaboration. We find that in LO the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Klasen , G. Kramer

The inclusive cross section for the production of $J/\psi$ in $e^+ e^-$ annihilation is studied using a recently developed factorization formalism. In addition to the conventional color-singlet contribution, we include contributions from $c…

High Energy Physics - Phenomenology · Physics 2010-04-06 Eric Braaten , Yu-Qi Chen

The measurement of the hadronic cross-section in $e^+ e^-$ annihilation at high luminosity factories using the radiative return method is motivated and discussed. A Monte Carlo generator which simulates the radiative process $e^+ e^- \to…

High Energy Physics - Phenomenology · Physics 2007-05-23 German Rodrigo

Studying the substructure of jets has become a powerful tool for event discrimination and for studying QCD. Typically, jet substructure studies rely on Monte Carlo simulation for vetting their usefulness; however, when possible, it is also…

High Energy Physics - Phenomenology · Physics 2015-03-20 Andrew J. Larkoski

We perform a comparison of two jet clusterization algorithms. The first one is the standard Durham algorithm and the second one is a global optimization scheme, Deterministic Annealing, often used in clusterization problems, and adapted to…

High Energy Physics - Phenomenology · Physics 2009-11-07 L. Angelini , P. De Felice , M. Maggi , G. Nardulli , L. Nitti , M. Pellicoro , S. Stramaglia

The N-jettiness event shape divides phase space into N+2 regions, each containing one jet or beam. Using a geometric measure these regions correspond to jets with circular boundaries. We give a factorization theorem for the cross section…

High Energy Physics - Phenomenology · Physics 2011-06-21 Teppo T. Jouttenus , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

This paper presents a comprehensive analysis of the well-known extragradient (EG) method for solving both equations and inclusions. First, we unify and generalize EG for [non]linear equations to a wider class of algorithms, encompassing…

Optimization and Control · Mathematics 2024-09-26 Quoc Tran-Dinh , Nghia Nguyen-Trung

Within the colour dipole picture for deep inelastic scattering at small Bjorken $x$, we study the production of a pair of relatively hard jets via coherent diffraction. By "relatively hard" we mean that the transverse momenta of the two…

High Energy Physics - Phenomenology · Physics 2022-07-14 E. Iancu , A. H. Mueller , D. N. Triantafyllopoulos , S. Y. Wei

In this talk we discuss an algorithm for the numerical calculation of one-loop QCD amplitudes and present results at next-to-leading order for jet observables in electron-positron annihilation calculated with the above-mentioned method. The…

High Energy Physics - Phenomenology · Physics 2011-12-16 S. Becker , D. Goetz , C. Reuschle , C. Schwan , S. Weinzierl