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We devise a {\sl non--perturbative} method, called {\sl Parametric Perturbation Theory} (PPT), which is alternative to the ordinary perturbation theory. The method relies on a principle of simplicity for the observable solutions, which are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paolo Amore

We study the nonperturbative and higher order perturbative corrections on the electromagnetic ($F_{1p,2p}^\gamma$) and electromagnetic-weak interference ($F_{1p,2p,3p}^{\gamma Z}$) structure functions and their impact on the parity…

High Energy Physics - Phenomenology · Physics 2026-03-17 F. Zaidi , M. Sajjad Athar , S. K. Singh

We develop deterministic perturbation bounds for singular values and vectors of orthogonally decomposable tensors, in a spirit similar to classical results for matrices such as those due to Weyl, Davis, Kahan and Wedin. Our bounds…

Numerical Analysis · Mathematics 2022-01-24 Arnab Auddy , Ming Yuan

We study the renormalized perturbation theory of the single-impurity Anderson model, particularly the high-order terms in the expansion of the self-energy in powers of the renormalized coupling $\tilde{U}$. Though the presence of…

Strongly Correlated Electrons · Physics 2015-09-23 Vassilis Pandis , Alex C. Hewson

In this talk we describe a procedure for isolating the infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. We use the antenna subtraction framework which has been successfully applied to the…

High Energy Physics - Phenomenology · Physics 2010-01-27 Joao Pires , E. W. N. Glover

We present a recent study of the QCD corrections to dilepton production near partonic threshold in transversely polarized \bar{p}p scattering. We analyze the role of the higher-order perturbative QCD corrections in terms of the available…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hirotaka Shimizu , George Sterman , Werner Vogelsang , Hiroshi Yokoya

We compute the Next-to-Next-to-Leading Order (NNLO) QCD corrections to the partonic reaction that dominates top-pair production at the Tevatron. This is the first ever NNLO calculation of an observable with more than two colored partons,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Peter Baernreuther , Michal Czakon , Alexander Mitov

We use a fixed-order expansion of resummed soft-gluon corrections to determine an approximate NNLO formula for the partonic cross section of single-top production in the $s$-channel. This formula is implemented in the program Hathor for the…

High Energy Physics - Phenomenology · Physics 2016-08-01 Sergey Alekhin , Sven-Olaf Moch , Stephan Thier

For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To describe a solution completely, one has to solve the matching…

chao-dyn · Physics 2009-10-28 M. Chertkov , G. Falkovich , I. Kolokolov , V. Lebedev

We propose a new method to calculate analytically higher-order perturbative corrections and we apply it to the calculation of the two-loop virtual corrections to Higgs pair production through gluon fusion. The method is based on the…

High Energy Physics - Phenomenology · Physics 2018-11-26 Roberto Bonciani , Giuseppe Degrassi , Pier Paolo Giardino , Ramona Gröber

Higher-order hadronic corrections to the anomalous magnetic moment of the muon have been evaluated including next-to-next-to-leading-order insertions of hadronic vacuum polarization and next-to-leading-order corrections to hadronic…

High Energy Physics - Phenomenology · Physics 2022-03-21 Martin Hoferichter , Thomas Teubner

For a long time, the predictive limits of perturbative quantum field theory have been limited by our inability to carry out loop calculations to arbitrarily high order, which become increasingly complex as the order of perturbation theory…

High Energy Physics - Theory · Physics 2020-07-01 L. T. Giorgini , U. D. Jentschura , E. M. Malatesta , G. Parisi , T. Rizzo , J. Zinn-Justin

We develop a systematic approach to describe the finite lifetime effects in the threshold production of top quark-antiquark pairs. It is based on the nonrelativistic effective field theory with an additional scale rho^(1/2) m_t…

High Energy Physics - Phenomenology · Physics 2012-07-24 Alexander A. Penin , Jan H. Piclum

We investigate the perturbative renormalisation of deformed conformal field theories from the Hamiltonian perspective. We discuss the relation with conformal perturbation theory, to which we provide an explicit match up to third order in…

High Energy Physics - Theory · Physics 2018-03-16 Daniel Rutter , Balt C. van Rees

We present a new method of resummation of QCD threshold distributions to the hard scattering function of the dilepton production cross section in hadron-hadron collisions. Our formulation by-passes the infrared singularities of the QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Contopanagos , L. Alvero , G. Sterman

We study the power corrections for electroweak boson production that are implied by threshold resummation, which we have extended to massive particles produced at measured transverse momentum, $p_T$, and rapidity. Power corrections in the…

High Energy Physics - Phenomenology · Physics 2023-01-18 George Sterman , Werner Vogelsang

In the framework of QED, scalar pair production by a single linearly polarized high-energy photon in the presence of an external Aharonov-Bohm potential is investigated. The exact scattering solutions of the Klein-Gordon equation in…

High Energy Physics - Theory · Physics 2011-07-19 G. Y. Shahin , M. S. Shikakhwa

We present the production cross section for a lepton-neutrino pair at the Large Hadron Collider computed at next-to-next-to-next-to leading order (N3LO) in QCD perturbation theory. We compute the partonic coefficient functions of a virtual…

High Energy Physics - Phenomenology · Physics 2020-12-30 Claude Duhr , Falko Dulat , Bernhard Mistlberger

Incorporating all recent theoretical advances, we resum soft-gluon corrections to the total $t\bar t$ cross-section at hadron colliders at the next-to-next-to-leading logarithmic (NNLL) order. We perform the resummation in the well…

High Energy Physics - Phenomenology · Physics 2015-06-03 Matteo Cacciari , Michal Czakon , Michelangelo L. Mangano , Alexander Mitov , Paolo Nason

The contributions to the anomalous magnetic moment of the lepton $L$ ($L=e\ , \mu $ or $\tau$) generated by a specific class of QED diagrams are evaluated analytically up to the eighth order of the electromagnetic coupling constant. The…

High Energy Physics - Phenomenology · Physics 2022-10-21 O. P. Solovtsova , V. I. Lashkevich , L. P. Kaptari