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We describe a calculation of the fully-differential decay rate of a top quark to a massless $b$-quark and a lepton pair at next-to-next-to-leading order in perturbative QCD. Technical details of the calculation are discussed and selected…

High Energy Physics - Phenomenology · Physics 2015-06-12 Mathias Brucherseifer , Fabrizio Caola , Kirill Melnikov

We analytically compute the four-loop QCD corrections for the colour structure $(d_F^{abcd})^2$ to the massless non-singlet quark form factor. The computation involves non-trivial non-planar integral families which have master integrals in…

High Energy Physics - Phenomenology · Physics 2019-03-27 Roman N. Lee , Alexander V. Smirnov , Vladimir A. Smirnov , Matthias Steinhauser

Theoretical predictions for B decay rates are rewritten in terms of the Upsilon(1S) meson mass instead of the b quark mass, using a modified perturbation expansion. The theoretical consistency of this expansion is shown both at low and high…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andre H. Hoang , Zoltan Ligeti , Aneesh V. Manohar

Form factors relevant for semi-leptonic $B\to D,\ D^*$ decays are obtained in quenched lattice QCD. Tests of heavy-quark symmetry as well as determinations of the Isgur-Wise function and $|V_{cb}|$ are presented.

High Energy Physics - Lattice · Physics 2010-11-01 Laurent Lellouch

We present analytical results for the $O(\alpha _s ^2)$ contributions to the functions $\eta _A$ and $\eta _V$ which parameterize QCD corrections to semileptonic $b \to c$ transitions at zero recoil. Previously obtained approximate results…

High Energy Physics - Phenomenology · Physics 2011-01-25 Andrzej Czarnecki , Kirill Melnikov

We compute corrections of order $\alpha_s^3$ to the decay $b \to c \ell \bar\nu$ taking into account massive charm quarks. In the on-shell scheme large three-loop corrections are found. However, in the kinetic scheme the three-loop…

High Energy Physics - Phenomenology · Physics 2021-07-16 Matteo Fael , Kay Schönwald , Matthias Steinhauser

We briefly discuss the status of the NNLL QCD calculations in the inclusive rare B decay $B \to X_s \ell^+ \ell^-$. Two important ingredients, the two-loop matrix elements of the four quark operator ${\cal O}_2$ and the bremsstrahlung…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Ghinculov , T. Hurth , G. Isidori , Y. -P. Yao

The determination of |Vub| from inclusive semileptonic B decays is limited by uncertainties in modelling the decay distributions in b->ulnu transitions. The largest uncertainties arise from the limited knowledge of the appropriate b quark…

High Energy Physics - Experiment · Physics 2010-04-05 Robert V. Kowalewski , Sven Menke

Perturbative and nonperturbative QCD corrections to semileptonic B decay rates are calculated and given in analytical and numerical forms. We present the analytic expression for the double distribution in hadronic mass and electron energy…

High Energy Physics - Phenomenology · Physics 2009-09-25 P. Urban

We present updates for our nonperturbative lattice QCD calculations to determine semileptonic form factors for exclusive $B\to \pi\ell\nu$, $B\to D \ell\nu$, $B_s\to K\ell \nu$, and $B_s\to D_s\ell\nu$ decays. Our calculation is based on…

High Energy Physics - Lattice · Physics 2019-12-23 Jonathan Flynn , Ryan Hill , Andreas Jüttner , Amarjit Soni , Justus Tobias Tsang , Oliver Witzel

We calculate the next-to-leading order QCD corrections to $B$ to scalar meson form factors from QCD light-cone sum rules with $B$ meson light-cone distribution amplitudes. We demonstrate that the $B$ meson-to-vacuum correlation functions…

High Energy Physics - Phenomenology · Physics 2023-10-17 Xue-Ying Han , Long-Shun Lu , Cai-Dian Lü , Yue-Long Shen , Bo-Xuan Shi

Recent progress in the theoretical description of inclusive B to X_u l nu decays in the shape-function region is reported. Finite moments of the shape function are related to HQET parameters. Event fractions for several experimental cuts…

High Energy Physics - Phenomenology · Physics 2010-11-23 Bjorn O. Lange

In this paper we compute the NLO QCD corrections for the inclusive nonleptonic decay rates of $B$-hadrons at subleading power of the heavy quark expansion. In particular, we discuss the coefficient of the chromomagnetic moment parameter…

High Energy Physics - Phenomenology · Physics 2024-08-14 Thomas Mannel , Daniel Moreno , Alexei A. Pivovarov

We review recent advances in the theory of strong-interaction effects and final-state interactions in hadronic weak decays of heavy mesons. In the heavy-quark limit, the amplitudes for most nonleptonic, two-body B decays can be calculated…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matthias Neubert

Exclusive semileptonic B decays to the lightest excited charmed mesons are investigated at order $\Lambda_{QCD}/m_Q$ in the heavy quark effective theory. At zero recoil, $\Lambda_{QCD}/m_Q$ corrections to the matrix elements of the weak…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Ligeti

We report on the calculation of the two-loop penguin amplitudes in non-leptonic B decays in the framework of QCD factorization. We discuss the computation of this genuine two-loop, two-scale problem and provide details on the matching from…

High Energy Physics - Phenomenology · Physics 2019-12-19 Guido Bell , Martin Beneke , Tobias Huber , Xin-Qiang Li

The energetic exclusive two-body nonleptonic decays of B mesons are investigated in the framework of the relativistic quark model within the factorization approximation. The heavy quark expansion is used for the calculation of form factors.…

High Energy Physics - Phenomenology · Physics 2011-08-17 D. Ebert , R. N. Faustov , V. O. Galkin

Quantum chromodynamics (QCD) effects in the semileptonic decay b -> c l nu are evaluated to the second order in the coupling constant, O(alpha_s^2), and to several orders in the expansion in quark masses, m_c/m_b. Corrections are calculated…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexey Pak , Andrzej Czarnecki

We present our results for the NNLL virtual corrections to the matrix elements of the operators O_1 and O_2 for the inclusive process b\to s\ell^+\ell^- in the kinematical region q^2>4m_c^2, where q^2 is the invariant mass squared of the…

High Energy Physics - Phenomenology · Physics 2009-05-20 Christoph Greub , Volker Pilipp , Christof Schüpbach

We compute the two-loop virtual corrections to the flavour changing neutral current process $b --> d l^+ l^-$. As calculation techniques integration by parts identities and the method of differential equations are used. The result is…

High Energy Physics - Phenomenology · Physics 2009-11-10 Dirk Seidel