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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 currents formed by a heavy and a light quark within Quantum Chromodynamics and compute the matching to Heavy Quark Effective Theory to three-loop accuracy. As an application we obtain the third-order perturbative corrections…

High Energy Physics - Phenomenology · Physics 2010-04-30 S. Bekavac , A. G. Grozin , P. Marquard , J. H. Piclum , D. Seidel , M. Steinhauser

We review some work done by us calculating matrix elements for Kaons. Emphasis is put on the matrix elements which are relevant to predict non-leptonic Kaon CP violating observables. In particular, we recall our results for the \hat B_K…

High Energy Physics - Phenomenology · Physics 2009-11-10 Johan Bijnens , Elvira Gamiz , Joaquim Prades

We review the current status of perturbative corrections in QCD at four loops for scattering processes with space- and time-like kinematics at colliders, with specific focus on deep-inelastic scattering and electron-positron annihilation.…

High Energy Physics - Phenomenology · Physics 2021-04-19 S. Moch , V. Magerya

We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the…

High Energy Physics - Lattice · Physics 2009-10-31 C. Christou , A. Feo , H. Panagopoulos , E. Vicari

In the framework of the factorization and the heavy quark effective theory, $B\to D_2^*\pi$ modes are analyzed. We adopt the result from the QCD sum rule calculation for the hadronic matrix elements at leading order of $\Lambda_{\rm…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jong-Phil Lee

We compute the 1-loop (alpha_s^2) correction to hard spectator scattering in non-leptonic B decay tree amplitudes. This forms part of the NNLO contribution to the QCD factorization formula for hadronic B decays, and introduces a new…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , S. Jager

We use QCD sum rules to compute matrix elements of the Delta B=2 operators appearing in the heavy-quark expansion of the width difference of the B_s mass eigenstates. Our analysis includes the leading-order operators Q and Q_S, as well as…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Mannel , B. D. Pecjak , A. A. Pivovarov

We compute the ${\cal O}(\alpha_s^3)$ virtual QCD corrections to the $\gamma^*\to q\bar q g$ matrix element arising from the interference of the two-loop with the tree-level amplitude and from the self-interference of the one-loop…

High Energy Physics - Phenomenology · Physics 2010-04-06 L. W. Garland , T. Gehrmann , E. W. N. Glover , A. Koukoutsakis , E. Remiddi

We compute the three-loop QCD corrections to the decoupling constant for $\alpha_s$ which relates the Minimal Supersymmetric Standard Model to Quantum Chromodynamics with five or six active flavours. The new results can be used to study the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Alexander Kurz , Matthias Steinhauser , Nikolai Zerf

We obtain analytic expressions for the third-order corrections due to the strong interaction Coulomb potential to the S-wave Green function, energy levels and wave functions at the origin for arbitrary principal quantum number n. Together…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Beneke , Y. Kiyo , K. Schuller

We present an analytic computation of the two-loop QCD corrections to $u\bar{d}\to W^+b\bar{b}$ for an on-shell $W$-boson using the leading colour and massless bottom quark approximations. We perform an integration-by-parts reduction of the…

High Energy Physics - Phenomenology · Physics 2021-10-14 Simon Badger , Heribertus Bayu Hartanto , Simone Zoia

The fragmentation functions for $c$ or $\bar{b}$ quark to $B_c$ or $B_c^*$ meson are derived up to QCD next-to-leading order (NLO). They are further computed numerically and presented in figures precisely. In order to reach a higher…

High Energy Physics - Phenomenology · Physics 2020-01-01 Xu-Chang Zheng , Chao-Hsi Chang , Tai-Fu Feng , Xing-Gang Wu

We consider QCD radiative corrections to the production of four charged leptons in hadron collisions. We present the computation of the next-to-leading order QCD corrections to the loop-induced gluon fusion contribution. Our predictions…

High Energy Physics - Phenomenology · Physics 2020-02-06 Massimiliano Grazzini , Stefan Kallweit , Marius Wiesemann , Jeong Yeon Yook

We discuss a model-independent framework for the analysis of the radiative B-meson decays B -> K* gamma and B -> rho gamma based on the heavy-quark limit of QCD. We present a factorization formula for the treatment of B -> V gamma matrix…

High Energy Physics - Phenomenology · Physics 2009-10-09 Gerhard Buchalla

The next-to-leading order (NLO) ($\mathcal{O}(\alpha_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use…

High Energy Physics - Phenomenology · Physics 2020-11-11 Peng Zhang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

We study Brownian loop soup clusters in $\mathbb{R}^3$ for an arbitrary intensity $\alpha>0$. We show the existence of a phase transition for the presence of unbounded clusters and study its basic properties. In particular, we show that,…

Probability · Mathematics 2026-01-29 Antoine Jego , Titus Lupu

Recently, we have introduced a unified theory to deal with perturbative and non-perturbative QCD contributions to hadronic structure functions in deep inelastic scattering. This formulation is realized by combining the coordinate space…

High Energy Physics - Phenomenology · Physics 2016-08-25 A. Harindranath , Rajen Kundu , Wei-Min Zhang

We compute perturbative QCD corrections to $B \to D$ form factors at leading power in $\Lambda/m_b$, at large hadronic recoil, from the light-cone sum rules (LCSR) with $B$-meson distribution amplitudes in HQET. QCD factorization for the…

High Energy Physics - Phenomenology · Physics 2017-06-28 Yu-Ming Wang , Yan-Bing Wei , Yue-Long Shen , Cai-Dian Lü

Multi-jet rates at hadron colliders provide a unique possibility for probing Quantum Chromodynamics (QCD), the theory of strong interactions. By comparing theory predictions with collider data, one can directly test perturbative QCD,…

High Energy Physics - Phenomenology · Physics 2022-08-30 Michal Czakon , Alexander Mitov , Rene Poncelet