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Related papers: Three-Loop Contributions to the Gluonic Massive Op…

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We compute three-loop vertex corrections to $b\to s\gamma$ induced by current-current operators. The results are presented as expansions in $m_c/m_b$ with numerical coefficients which allow to cover all relevant values for the heavy quark…

High Energy Physics - Phenomenology · Physics 2023-12-11 Matteo Fael , Fabian Lange , Kay Schoenwald , Matthias Steinhauser

Quark mass corrections to the spin partonic structure function g_1(x,Q^2) and function F_3(x,Q^2) are obtained at the order O(alpha_s) along with the coefficient functions C^{(A)} and C^{(V)} related to the Bjorken and…

High Energy Physics - Phenomenology · Physics 2008-02-03 O. V. Teryaev , O. L. Veretin

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 $Q^2 \gg m^2$, up to the…

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

We present a complete set of one-loop matrix elements relevant for the hadroproduction of heavy quarks in next-to-leading order employing dimensional regularization to isolate ultraviolet and soft divergences. All results of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. G. Korner , Z. Merebashvili

We perform an analytic calculation of the one-loop amplitude for the W-boson mediated process 0 \to d u-bar Q Q-bar l-bar l, retaining the mass for the quark Q. The momentum of each of the massive quarks is expressed as the sum of two…

High Energy Physics - Phenomenology · Physics 2011-03-18 Simon Badger , John M. Campbell , R. K. Ellis

We present the one-loop QCD amplitudes for two external massless quarks and three external gluons ($\bar{q}qggg$). This completes the set of one-loop amplitudes needed for the next-to-leading-order corrections to three-jet production at…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

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 carry out the one-loop calculation of mass dependent ${\cal O}(a)$ improvement coefficients in the relativistic heavy quark action recently proposed, employing the ordinary perturbation theory with the fictitious gluon mass as an…

High Energy Physics - Lattice · Physics 2015-06-25 Sinya Aoki , Yasuhisa Kayaba , Yoshinobu Kuramashi

We discuss perturbative O(g^2a) matching with static heavy quarks and domain-wall light quarks for lattice operators relevant to B-meson decays and $B^0$-$\bar{B}^0$ mixing. The chiral symmetry of the light domain-wall quarks does not…

High Energy Physics - Lattice · Physics 2015-03-17 Tomomi Ishikawa , Yasumichi Aoki , Jonathan M. Flynn , Taku Izubuchi , Oleg Loktik

We calculate one-loop renormalization factors and mixing coefficients of bilinear quark operators for a class of gluon actions with six-link loops and O(a)-improved quark action. The calculation is carried out by evaluating on-shell Green's…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Kei-ichi Nagai , Yusuke Taniguchi , Akira Ukawa

We calculate all contributions $\propto T_F$ to the polarized three-loop anomalous dimensions in the M-scheme using massive operator matrix elements and compare to results in the literature. This includes the complete anomalous dimensions…

High Energy Physics - Phenomenology · Physics 2019-09-25 A. Behring , J. Blümlein , A. De Freitas , A. Goedicke , S. Klein , A. von Manteuffel , C. Schneider , K. Schönwald

Using automated perturbation theory techniques, we have computed the one-loop mass of Fermilab fermions, with an improved gluon action. We will present the results of these calculations, and the resulting predictions for the charm and…

High Energy Physics - Lattice · Physics 2007-05-23 Matthew Nobes , Howard Trottier

The leading heavy-top two-loop corrections to the \Zbb~vertex are determined from a direct evaluation of the corresponding Feynman diagrams in the large \Mt~limit. %The calculation is done in the naive %dimensional regularization scheme…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Denner , W. Hollik , B. Lampe

We evaluate analytically higher terms of the epsilon-expansion of the three-loop master integrals corresponding to three-loop quark and gluon form factors and to the three-loop master integrals contributing to the electron g-2 in QED up to…

High Energy Physics - Phenomenology · Physics 2011-03-03 R. N. Lee , V. A. Smirnov

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

We calculate one-loop renormalization factors for heavy-light bilinears as well as four-fermion operators relevant for $B^{0} - \bar{B}^{0}$ mixing calculations on the lattice. We use the static approximation for heavy quarks and the…

High Energy Physics - Lattice · Physics 2008-11-26 Oleg Loktik , Taku Izubuchi

Three loop ladder and $V$-topology diagrams contributing to the massive operator matrix element $A_{Qg}$ are calculated. The corresponding objects can all be expressed in terms of nested sums and recurrences depending on the Mellin variable…

High Energy Physics - Phenomenology · Physics 2016-04-20 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider

The three-loop corrections to the potential of two heavy quarks are computed. Analytic results for the most complicated master integrals are presented.

High Energy Physics - Phenomenology · Physics 2010-02-18 Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

Processes involving only massless or massive quarks at tree-level get corrections from massive (lighter, heavier, or equal-mass) secondary quarks starting at two-loop order, generated by a virtual gluon splitting into a massive quark…

High Energy Physics - Phenomenology · Physics 2024-05-15 Alejandro Bris , Vicent Mateu

We compute the contribution of third generation quarks ($t,\ b$) to the two-loop amplitude for on-shell $W$ boson pair production in gluon fusion $gg \to WW$. We present plots for the amplitude across partonic phase space as well as…

High Energy Physics - Phenomenology · Physics 2021-02-24 Christian Brønnum-Hansen , Chen-Yu Wang