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Related papers: Two-mass three-loop effects in deep-inelastic scat…

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We present a determination of the strange, charm and bottom quark masses as well as the strong coupling constant in 2+1 flavor lattice QCD simulations using highly improved staggered quark action. The ratios of the charm quark mass to the…

High Energy Physics - Lattice · Physics 2016-09-06 Y. Maezawa , P. Petreczky

We perform the analysis of the existing inclusive deep inelastic scattering (DIS) data within NNLO QCD approximation. The parton distributions functions (PDFs) and the value of strong coupling constant $\alpha_{s}(M_Z)=0.1143\pm0.0013…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alekhin Sergey

Recent developements in the calculation of the NNLO QCD corrections to the charm quark mass dependent matrix elements in B -> X_s gamma are reported. Special emphasis is put on the new results of the virtual O(alpha_s^2) fermionic…

High Energy Physics - Phenomenology · Physics 2007-12-12 Radja Boughezal

We consider the on-shell mass and wave function renormalization constants $Z_m^{\rm OS}$ and $Z_2^{\rm OS}$ up to three-loop order allowing for a second non-zero quark mass. We obtain analytic results in terms of harmonic polylogarithms and…

High Energy Physics - Phenomenology · Physics 2020-10-28 Matteo Fael , Kay Schönwald , Matthias Steinhauser

This talk presents some results relevant for lattice QCD at higher order in ChPT. First we discuss the finite volume corrections at two loops for the quark condensate as well as a L\"uscherlike finite volume formula for it. The latter…

High Energy Physics - Lattice · Physics 2007-05-23 Johan Bijnens , Niclas Danielsson , Karim Ghorbani , Timo Lähde

We perform the analytic calculation of the Mellin moments of the structure functions F_2 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We study two-loop corrections to the scattering amplitude of four massive leptons in quantum electrodynamics. These amplitudes involve previously unknown elliptic Feynman integrals, which we compute analytically using the differential…

High Energy Physics - Phenomenology · Physics 2023-11-14 Maximilian Delto , Claude Duhr , Lorenzo Tancredi , Yu Jiao Zhu

The $O(1/m_Q)$ corrections to masses of excited heavy mesons are studied with sum rules in the heavy quark effective theory. Numerical results for the matrix elements of the heavy quark kinetic energy operator K and chromomagnetic…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yuan-ben Dai , Chao-shang Huang , Ming-qiu Huang

We present results for the effect of a second massive quark in the relation between the pole and the minimal subtracted quark mass at the three loop level. We also consider the analogous effect for the wave function renormalisation…

High Energy Physics - Phenomenology · Physics 2009-02-16 Stefan Bekavac , Dirk Seidel

We find that the anomalous dimension (in the $\bar{MS}$ scheme) of the chromo-magnetic operator $g_s\bar h_v\sigma_{\mu\nu} G^{\mu\nu} h_v$ in the heavy-quark effective theory is \gamma_{mag} = (C_A\alpha_s / 2\pi) [1 + ( 17/18 C_A - 13/18…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Amorós , M. Beneke , M. Neubert

We calculate the $O(\alpha_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$. The calculation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein

Complete two-loop QCD corrections to $b\to c$ transitions are presented in the limit of zero recoil. Vector and axial-vector coefficients $\eta_{A,V}$ are calculated analytically in the limit of equal beauty and charm masses, and a series…

High Energy Physics - Phenomenology · Physics 2016-08-24 Andrzej Czarnecki

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

We evaluate the two-loop corrections to Bhabha scattering from fermion loops in the context of pure Quantum Electrodynamics. The differential cross section is expressed by a small number of Master Integrals with exact dependence on the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , M. Czakon , J. Gluza , T. Riemann

We present the analytic and compact two-loop helicity amplitudes for QCD and QED corrections to the light-by-light scattering process with massive internal fermions. We express the master integrals either in terms of multiple polylogarithms…

High Energy Physics - Phenomenology · Physics 2024-03-22 Ajjath A H , Ekta Chaubey , Hua-Sheng Shao

A method of computing two-loop fermionic contributions to the width of a heavy quark is described. An analytical formula for this effect in the limit of mass of the quark much larger than the decay products is obtained for the first time.…

High Energy Physics - Phenomenology · Physics 2011-03-02 Andrzej Czarnecki

We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

The mass of the charm quark is analyzed in the context of QCD finite energy sum rules using recent BESII e+e- annihilation data and a large momentum expansion of the QCD correlator which incorporates terms to order (alpha_s)^2…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Penarrocha , K. Schilcher

We systematically analyze the $d=5$ Weinberg operator at 2-loop order. Using a diagrammatic approach, we identify two different interesting categories of neutrino mass models: (i) Genuine 2-loop models for which both, tree-level and 1-loop…

High Energy Physics - Phenomenology · Physics 2015-03-26 D. Aristizabal Sierra , A. Degee , L. Dorame , M. Hirsch

We present one-loop results for the forward twist-two matrix elements relevant to the unpolarised, helicity and transversity baryon structure functions, in partially-quenched (N_f=2 and N_f=2+1) heavy baryon chiral perturbation theory. The…

High Energy Physics - Lattice · Physics 2008-11-26 William Detmold , C. -J. David Lin