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We determine the charm quark mass $\hat{m}_c$ from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at ${\cal O} (\hat\alpha_s^3)$. Only experimental data for the charm resonances below the continuum…

High Energy Physics - Phenomenology · Physics 2017-03-08 Jens Erler , Pere Masjuan , Hubert Spiesberger

The anomalous dimension of the heavy-light quark current in HQET is calculated up to four loops. The N$^3$LL perturbative correction to $f_B/f_D$ is obtained.

High Energy Physics - Phenomenology · Physics 2024-02-29 Andrey Grozin

Within the framework of nonrelativistic QCD (NRQCD) factorization, we compute the three-loop QCD corrections to the decay constant of $B_c$. We reconstruct the analytical expressions for the three-loop renormalization constant and the…

High Energy Physics - Phenomenology · Physics 2022-08-09 Feng Feng , Yu Jia , Zhewen Mo , Jichen Pan , Wen-Long Sang , Jia-Yue Zhang

We present results of lattice QCD simulations with mass-degenerate up and down and mass-split strange and charm (N_f = 2+1+1) dynamical quarks using Wilson twisted mass fermions at maximal twist. The tuning of the strange and charm quark…

The spin-dependent corrections to the static inter-quark potential are phenomenologically relevant to describing the fine and hyperfine spin splitting of the heavy quarkonium spectra. We investigate these corrections, which are represented…

High Energy Physics - Lattice · Physics 2008-11-26 Yoshiaki Koma , Miho Koma

Physical contribution of the high-energy part of hadronic spectrum is incorporated to describe the short-distance part of the correlator of heavy-quark currents obtained by quenched Monte-Carlo on a $8^3*16$- and $16^3*32$-lattices for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alexander Bochkarev

We numerically evaluate the two-loop QCD squared matrix element for in $q\bar{q}\to Z$ and $q\bar{q}\to Z\gamma$ with heavy top and bottom quarks circulating in a triangular fermion loop, by simultaneously subtracting infrared, ultraviolet,…

High Energy Physics - Phenomenology · Physics 2026-03-04 Dario Kermanschah , Matilde Vicini

Perturbative coefficients for Wilson loops and the static quark self-energy are extracted from Monte Carlo simulations at large beta on finite volumes, where all the lattice momenta are large. The Monte Carlo results are in excellent…

High Energy Physics - Lattice · Physics 2015-06-25 G. P. Lepage , P. B. Mackenzie , N. H. Shakespeare , H. D. Trottier

We study the excitations of hadrons containing a single heavy quark. We present meson and baryon mass splittings and ratios of meson decay constants resulting from quenched and dynamical two-flavor configurations. Light quarks are simulated…

High Energy Physics - Lattice · Physics 2010-01-21 Tommy Burch , Christian Hagen , Christian B. Lang , Markus Limmer , Andreas Schäfer

For a few observables in O(a) improved lattice QCD, we compute discretization effects arising from the vacuum polarization of a heavy quark at one-loop order. In particular, the force between static quarks, the running coupling in the…

High Energy Physics - Lattice · Physics 2015-05-30 Andreas Athenodorou , Rainer Sommer

In the heavy quark effective theory, hadronic matrix elements of currents between two hadrons containing a heavy quark are expanded in inverse powers of the heavy quark masses, with coefficients that are functions of the kinematic variable…

High Energy Physics - Phenomenology · Physics 2009-10-22 Adam F. Falk , Matthias Neubert

We compute the one-loop self-energy correction to the massive domain wall quark propagator. Combining this calculation with simulations at several gauge couplings, we estimate the strange quark mass in the continuum limit. The perturbative…

High Energy Physics - Lattice · Physics 2009-10-31 Tom Blum , Amarjit Soni , Matthew Wingate

Non-singlet ${\cal{O}}(\alpha_s^2)$ corrections from light quarks are calculated analytically for the massive quark-antiquark pair production rates through the vector, axial-vector, scalar and pseudoscalar currents for all energies above…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. H. Hoang , T. Teubner

In this paper we compute the relation between heavy quark masses defined in the modified minimal subtraction and on-shell scheme. Detailed results are presented for all coefficients of the SU$(N_c)$ colour factors. The reduction of the…

High Energy Physics - Phenomenology · Physics 2016-11-23 Peter Marquard , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser , David Wellmann

The isospin-breaking correlator of the product of flavor octet vector currents, $V^3_\mu$ and $V^8_\nu$, $\Pi^{38}_{\mu\nu}(q^2)$ is computed to next-to-next- to-leading (two-loop) order in Chiral Perturbation Theory. Large corrections to…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

We describe a new technique (presented in arXiv:1403.1778) to determine the contribution to the anomalous magnetic moment (g-2) of the muon coming from the hadronic vacuum polarisation using lattice QCD. Our method uses Pad\'{e}…

We evaluate the corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) to three-loop order containing a closed heavy-fermion loop. The result constitutes a…

High Energy Physics - Phenomenology · Physics 2009-07-24 P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

We consider the three-loop mixed strong-electroweak (${\mathcal{O}}(\alpha \alpha_s^2)$) corrections to the quark form factor. We compute the master integrals which are appearing in the Feynman diagrams containing a single massive boson in…

High Energy Physics - Phenomenology · Physics 2025-06-19 Tanmoy Pati , Narayan Rana

We consider heavy quark mass ($m$) effects in the Energy-Energy Correlation function in $e^+e^- \to hadrons$ at high energy $Q$, in the back-to-back (two-jet) region. In the ultra-relativistic limit, $Q \gg m$, the QCD Sudakov form factor…

High Energy Physics - Phenomenology · Physics 2024-12-16 Ugo Giuseppe Aglietti , Giancarlo Ferrera

I present one-loop level calculations of the Isgur-Wise functions for B -> D^{(*)} + e + nu, of the matrix elements of isovector twist-2 operators in B and D mesons, and the matrix elements for the radiative decays D^* -> D + gamma in…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin J. Savage