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The next-to-leading order (NLO) quantum chromodynamics (QCD) corrections for $\chi_{cJ}(^3P_J^{[1]},^3S_1^{[8]})$, the P-wave charmoniums inclusive production at $B$ factories are calculated utilizing the non-relativistic QCD (NRQCD)…

High Energy Physics - Phenomenology · Physics 2015-06-03 Long-Bin Chen , Jun Jiang , Cong-Feng Qiao

We evaluate the three-loop corrections to the matching coefficient of the vector current between Quantum Chromodynamics (QCD) and non-relativistic QCD. The result is presented in the MSbar scheme where large perturbative corrections are…

High Energy Physics - Phenomenology · Physics 2014-03-05 Peter Marquard , Jan H. Piclum , Dirk Seidel , Matthias Steinhauser

The three-loop QCD corrections to the $\rho$ parameter from top and bottom quark loops are calculated. The result differs from the one recently calculated by Avdeev et al. As function of the pole mass the numerical value is given by…

High Energy Physics - Phenomenology · Physics 2016-09-01 K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. Vogt , S. Moch , J. A. M. Vermaseren

We calculate the complete three-loop O(alpha_s^3) anomalous dimension matrix for the dimension-five dipole operators that arise in the Standard Model after integrating out the top quark and the heavy electroweak bosons. Our computation…

High Energy Physics - Phenomenology · Physics 2008-11-26 Martin Gorbahn , Ulrich Haisch , Mikolaj Misiak

We present analytical next-to-leading order results for the correlator of baryonic currents at the three-loop level with one finite mass quark. We obtain the massless and the HQET limits of the correlator as particular cases from the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Groote , J. G. Körner , A. A. Pivovarov

Since order parameter of the chiral symmetry breaking Green Functions are a useful link between the OPE expansion and chiral perturbation theory we perform a calculation to the NLO in alpha_s, working in the chiral limit, for all the 2 and…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. Mateu

We compute next-to-next-to-leading order perturbative corrections to the decay width difference of mass eigenstates and the charge-parity asymmetry $a_{\rm fs}$ in flavour-specific decays of neutral $B$ mesons. In our calculation we take…

High Energy Physics - Phenomenology · Physics 2025-05-30 Marvin Gerlach , Ulrich Nierste , Pascal Reeck , Vladyslav Shtabovenko , Matthias Steinhauser

We present some techniques which have been developed recently or in the recent past to compute Feynman graphs beyond one-loop order. These techniques are useful to compute the three-loop splitting functions in QCD and to obtain the complete…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. L. van Neerven

One of the most troublesome contributions to the NNLO QCD corrections to B -> X_s gamma originates from three-loop matrix elements of four-quark operators. A part of this contribution that is proportional to the QCD beta-function…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mikolaj Misiak , Matthias Steinhauser

We discuss the renormalisation properties of parity-odd Delta B=2 operators with the heavy quark treated in the static approximation. Via twisted mass QCD (tmQCD), these operators provide the matrix elements relevant for the B0-B0bar mixing…

High Energy Physics - Lattice · Physics 2007-05-23 F. Palombi , M. Papinutto , C. Pena , H. Wittig

We present results for the O(alpha_s) virtual corrections to q g -> W b bbar q' obtained with a new automatized approach to the evaluation of one-loop amplitudes in terms of Feynman diagrams. Together with the O(alpha_s) corrections to q q'…

High Energy Physics - Phenomenology · Physics 2015-05-30 Laura Reina , Thomas Schutzmeier

We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including all contributions beyond the leading-color approximation.…

High Energy Physics - Phenomenology · Physics 2024-05-15 Giuseppe De Laurentis , Harald Ita , Vasily Sotnikov

We compute the leading $\alpha_s$ corrections to the two-point correlator of the $O_{\Delta B=2}$ operator which controls the $B^0 \bar B^0$ mixing. Using this result within the QCD spectral sum rules approach and some phenomenologically…

High Energy Physics - Phenomenology · Physics 2010-11-01 S. Narison , A. A. Pivovarov

We report on recent progress in calculating the three loop QCD corrections of the heavy flavor contributions in deep--inelastic scattering and the massive operator matrix elements of the variable flavor number scheme. Notably we deal with…

High Energy Physics - Phenomenology · Physics 2023-06-30 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Goedicke , A. von Manteuffel , C. Schneider , K. Schönwald

We compute the coefficient function for the charge-averaged W^(+/-)-exchange structure function F_3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new three-loop contribution to this quantity forms,…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. Vermaseren , A. Vogt

We calculate the relation between the bare coupling constant g_0 and the MSbar-renormalized coupling g_MS: g_0 = Z_g(g_0,a \mu) g_MS, to 2 loops in perturbation theory. We employ the standard Wilson action for gluons and the overlap action…

High Energy Physics - Lattice · Physics 2008-11-26 M. Constantinou , H. Panagopoulos

The order $\alpha_s^2$ perturbative QCD correction to the Gottfried sum rule is obtained. The result is based on numerical calculation of the order $\alpha_s^2$ contribution to the coefficient function and on the new estimate of the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. L. Kataev , G. Parente

We compute the NNLO QCD corrections to three-photon production at the LHC. This is the first NNLO QCD calculation for a $2\to 3$ process. Our calculation is exact, except for the scale-independent part of the two-loop finite remainder which…

High Energy Physics - Phenomenology · Physics 2020-02-27 Herschel A. Chawdhry , Michał Czakon , Alexander Mitov , Rene Poncelet

We have calculated the complete matrix of three-loop helicity-difference (`polarized') splitting functions Delta P_ik^(2), i,k = q,g, in massless perturbative QCD. In this note we briefly discuss some properties of the polarized splitting…

High Energy Physics - Phenomenology · Physics 2014-05-15 A. Vogt , S. Moch , J. A. M. Vermaseren