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We discuss Pad\'e-improvement of known four-loop order results based upon an asymptotic three-parameter error formula for Pad\'e-approximants. We derive an explicit formula estimating the next-order coefficient $R_4$ from the previous…

High Energy Physics - Phenomenology · Physics 2009-10-31 V. Elias , T. G. Steele , F. Chishtie , R. Migneron , K. Sprague

We investigate the invariant-mass distribution of top-quark pairs near the $2m_t$ threshold, which has strong impact on the determination of the top-quark mass $m_t$. We show that higher-order non-relativistic corrections lead to large…

High Energy Physics - Phenomenology · Physics 2021-01-21 Wan-Li Ju , Guoxing Wang , Xing Wang , Xiaofeng Xu , Yongqi Xu , Li Lin Yang

The charm-quark mass is typically not so far from the cutoff 1/a in lattice simulations. Its determinant may then potentially introduce large cutoff effects. We choose the O(a)-improved Wilson formulation and compute the vacuum polarization…

High Energy Physics - Lattice · Physics 2012-03-13 Andreas Athenodorou

We compute the virtual O(\alpha_s^3 n_f^2) corrections to the heavy quark vector current correlator in terms of expansions in the external momentum and as an exact numerical solution. As a byproduct, the available high-energy expansion at…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Czakon , T. Schutzmeier

We present the first complete next-to-next-to-next-to-leading-order calculation of the matching coefficients that link unpolarized flavor non-singlet parton distribution functions with lattice QCD computable correlation functions. By using…

High Energy Physics - Phenomenology · Physics 2024-10-11 Chen Cheng , Li-Hong Huang , Xiang Li , Zheng-Yang Li , Yan-Qing Ma

We present an analytical calculation of the two-loop QCD corrections to the electromagnetic form factor of heavy quarks. The two-loop contributions to the form factor are reduced to linear combinations of master integrals, which are…

High Energy Physics - Phenomenology · Physics 2009-07-29 J. Gluza , A. Mitov , S. Moch , T. Riemann

We compare our previously proposed hard-thermal-loop (HTL) resummed calculation of quark number susceptibilities using a self-consistent two-loop approximation to the quark density with a recent calculation of the same quantity at the…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. -P. Blaizot , E. Iancu , A. Rebhan

The polarization dependent momentum distributions of top quarks and their decay products are calculated for $t\bar t$ production at future $e^+e^-$ colliders with polarized beams. The Green function formalism is applied to this reaction…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Harlander , M. Jeżabek , J. H. Kühn , T. Teubner

We measured with unprecedented precision the induced polarization Py in 4He(e,e'p)3H at Q^2 = 0.8 (GeV/c)^2 and 1.3 (GeV/c)^2. The induced polarization is indicative of reaction-mechanism effects beyond the impulse approximation. Our…

Nuclear Experiment · Physics 2011-02-02 S. P. Malace , M. Paolone , S. Strauch

We present updated predictions for the total cross section of top-quark pair production at Tevatron and LHC. For the LHC we also provide results at sqrt(s) = 10 TeV, in view of the anticipated run in 2008 and quote numbers for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , P. Uwer

We provide a first calculation of the complete next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function $g_1$ in longitudinally polarized deep-inelastic scattering. The results are derived…

High Energy Physics - Phenomenology · Physics 2021-05-31 Felix Hekhorn , Marco Stratmann

We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imaginary part, related to $\Gamma(H\to b \bar b)$, to be $c_5=-6900\pm…

High Energy Physics - Phenomenology · Physics 2022-02-02 Diogo Boito , Cristiane Y. London , Pere Masjuan

We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in the planar limit of a large number of colours.…

High Energy Physics - Phenomenology · Physics 2018-01-19 A. Vogt , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren

We deduce, in a general background gauge, the counter-term Lagrangian for pure quantum gravity to one-loop order. As an application, we evaluate the leading quantum correction to the classical gravitational potential, generated by the…

High Energy Physics - Theory · Physics 2022-09-13 F. T. Brandt , J. Frenkel , D. G. C. McKeon

We compute the two-loop term in the perturbation series for the quark-mass in the lattice Heavy Quark Effective Theory. This is an ingredient in the matching factor required to obtain the $b$-quark mass from lattice simulations of the HQET.…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , C. T. Sachrajda

We discuss the effect of heavy new physics, parameterised in terms of four-fermion operators, in the polarisation of single top (anti-)quarks in the $t$-channel process at the LHC. It is found that for operators involving a right-handed top…

High Energy Physics - Phenomenology · Physics 2017-04-19 J. A. Aguilar-Saavedra , C. Degrande , S. Khatibi

We compute three-loop corrections to the relation between the heavy quark masses defined in the pole and kinetic schemes. Using known relations between the pole and $\overline{\rm MS}$ quark masses we can establish precise relations between…

High Energy Physics - Phenomenology · Physics 2020-12-01 Matteo Fael , Kay Schönwald , Matthias Steinhauser

The anomalous magnetic moment of the muon is one of the most fundamental observables. It has been measured experimentally with a very high precision and on theory side the contributions from perturbative QED have been calculated up to…

High Energy Physics - Phenomenology · Physics 2014-02-06 P. A. Baikov , A. Maier , P. Marquard

Complete analytical results for the production of heavy-quark pairs by polarized and unpolarized photons in next-to-leading order are presented. Two-, three- and two plus three-jet cross sections for total photon spin $J_z=0,\pm 2$ are…

High Energy Physics - Phenomenology · Physics 2014-11-17 B. Kamal , Z. Merebashvili , A. P. Contogouris

I present higher loop order results for several calculations in Chiral perturbation Theory. 1) Two-loop results at finite volume for hadronic vacuum polarization. 2) A three-loop calculation of the pion mass and decay constant in…

High Energy Physics - Lattice · Physics 2018-04-18 Johan Bijnens