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Two notions of "having a derivative of logarithmic order" have been studied. They come from the study of regularity of flows and renormalized solutions for the transport and continuity equation associated to weakly differentiable drifts.

Classical Analysis and ODEs · Mathematics 2018-07-10 Elia Bruè , Quoc-Hung Nguyen

From a detailed analysis of cone-jet cross sections in effective field theory, we obtain novel factorization theorems which separate the physics associated with different energy scales present in such processes. The relevant low-energy…

High Energy Physics - Phenomenology · Physics 2017-05-08 Thomas Becher , Matthias Neubert , Lorena Rothen , Ding Yu Shao

We have recently extended many-body perturbation theory and coupled-cluster theory performed on top of a Slater determinant breaking rotational symmetry to allow for the restoration of the angular momentum at any truncation order [T.…

Nuclear Theory · Physics 2015-12-10 T. Duguet , A. Signoracci

Jet vetoes play an important role at the LHC in the search for the Higgs and ultimately in precise measurements of its properties. Many Higgs analyses divide the cross section into exclusive jet bins to maximize the sensitivity in different…

High Energy Physics - Phenomenology · Physics 2014-03-26 Frank J. Tackmann , Jonathan R. Walsh , Saba Zuberi

We derive the leading non-global logarithms (NGLs) of ratios of jet masses m_{1,2} and a jet energy veto \Lambda due to soft gluons splitting into regions in and out of jets. Such NGLs appear in any exclusive jet cross section with multiple…

High Energy Physics - Phenomenology · Physics 2015-05-30 Andrew Hornig , Christopher Lee , Jonathan R. Walsh , Saba Zuberi

Jet grooming has emerged as a necessary and powerful tool in a precision jet physics program. In this paper, we present three results on jet grooming in perturbation theory, focusing on heavy jet mass in $e^+e^-\to$ hadrons collisions,…

High Energy Physics - Phenomenology · Physics 2020-08-18 Andrew J. Larkoski

We investigate the behaviour of the perturbative relation between the photon energy spectrum in B -> Xs gamma and the hadronic P+ spectrum in semileptonic B -> Xu l nu decay at high orders in perturbation theory in the "large-beta_0" limit,…

High Energy Physics - Phenomenology · Physics 2009-09-02 Francisco Campanario , Michael Luke , Saba Zuberi

The arbitrariness in how the logarithm is defined within the QCD series for the inclusive electroproduction cross-section is shown to affect the summation to all orders in $\alpha_s$ of leading and successively-subleading logarithms within…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. Elias , D. G. C. McKeon , T. G. Steele

Starting from a hyperbolic toral automorphism, we obtain, for a small volume preserving perturbation, an exact and rigorous second order perturbation expansion of the Lyapunov exponents.

Chaotic Dynamics · Physics 2007-05-23 David Ruelle

We resum the invariant mass distribution of jets initiated by massive quarks in next-to-leading logarithmic approximation and beyond in heuristic way. We find that the inclusion of mass terms, in the N-moment space, results in the universal…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ugo Aglietti , Leonardo Di Giustino , Giancarlo Ferrera , Luca Trentadue

We revisit the connection between relativistic orbital precession, the Laplace-Runge-Lenz symmetry, and the $t$-channel discontinuity of scattering amplitudes. Applying this to scalar-tensor theories of gravity, we compute the conservative…

High Energy Physics - Theory · Physics 2023-07-13 Anne-Christine Davis , Scott Melville

The off-diagonal parton-scattering channels $g+\gamma^*$ and $q+\phi^*$ in deep-inelastic scattering are power-suppressed near threshold $x\to 1$. We address the next-to-leading power (NLP) resummation of large double logarithms of $1-x$ to…

High Energy Physics - Phenomenology · Physics 2020-12-02 Martin Beneke , Mathias Garny , Sebastian Jaskiewicz , Robert Szafron , Leonardo Vernazza , Jian Wang

A generalized logarithmic law for high-order moments of passive scalars is proposed for turbulent boundary layers. This law is analogous to the generalized log law that has been proposed for high-order moments of the turbulent longitudinal…

Fluid Dynamics · Physics 2022-12-12 Kelly Y. Huang , Matt K. Fu , Clayton P. Byers , Andrew D. Bragg , Gabriel G. Katul

Models of gravity in warped extra dimensions enjoy invariance under diffeomorphism. We derive the nonlinear transformation rules for the metric perturbations in the unitary gauge. As an off-shell symmetry, the main consequence of…

High Energy Physics - Theory · Physics 2026-04-03 Haiying Cai , Giacomo Cacciapaglia

Ostrogradsky instability generally appears in nondegenerate higher-order derivative theories and this issue can be resolved by removing any existing degeneracy present in such theories. We consider an action involving terms that are at most…

High Energy Physics - Theory · Physics 2022-03-14 Pawan Joshi , Sukanta Panda

Using deep inelastic scattering on a large nucleus as an example, we consider the transverse momentum broadening of partons in hard processes in the presence of medium. We find that one can factorize the vacuum radiation contribution and…

High Energy Physics - Phenomenology · Physics 2017-02-15 A. H. Mueller , Bin Wu , Bo-Wen Xiao , Feng Yuan

Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole…

Numerical Analysis · Mathematics 2021-02-09 Charalampos Markakis , Michael F. O'Boyle , Pablo D. Brubeck , Leor Barack

In this proceeding we consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. At small transverse momentum the logarithmically-enhanced contributions can be organized to all perturbative…

High Energy Physics - Phenomenology · Physics 2014-07-21 Leandro Cieri

In Refs. [1,2] we determined the infinite volume coefficients of the perturbative expansions of the self-energies of static sources in the fundamental and adjoint representations in SU(3) gluodynamics to order $\alpha^{20}$. We used…

High Energy Physics - Lattice · Physics 2013-11-05 Gunnar S. Bali , Clemens Bauer , Antonio Pineda

To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass $m_J$. For small jet areas there are additional large…

High Energy Physics - Phenomenology · Physics 2017-02-01 Daniel W. Kolodrubetz , Piotr Pietrulewicz , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn
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