Next-to-next-to-leading order calculations for heavy-to-light decays

Abstract

We present technical aspects of next-to-next-to-leading order calculations for heavy-to-light decays such as top quark decay, semileptonic b quark decay into a u quark, muon decay, and radiative decays like b -> s gamma. Algebraic reduction of integrals to a set of master integrals is described, methods of determining the master integrals are presented, and a complete list of master integrals is given. As a sample application, the top quark decay width is calculated to O(alpha_s^2) accuracy.

12 pages, corrected typos in the appendix

References in corpus (1)

• Automatic Integral Reduction for Higher Order Perturbative Calculations

Cited by in corpus (27)

• Helicity fractions of W bosons from top quark decays at NNLO in QCD
• Higgs Boson Production and Decay at Hadron Colliders
• Prospects for charged Higgs searches at the LHC
• Logarithmically Enhanced Corrections to the Decay Rate and Forward Backward Asymmetry in anti-B --> X(s) l+ l-
• Flavor & new physics opportunities with rare charm decays into leptons
• $O({\alpha }_s^2)$ corrections to fully-differential top quark decays
• Single-top-quark production in the $t$-channel at NNLO
• The electromagnetic dipole operator effect on B -> Xs gamma at O(alpha_s^2)
• Accurate predictions for charged Higgs production: closing the $m_{H^{\pm }}\sim m_t$ window
• Near-threshold production of heavy quarks with QQbar_threshold
• About higher order epsilon-expansion of some massive two- and three-loop master-integrals
• Bottom-flavored hadrons from top-quark decay at next-to-leading order in the general-mass variable-flavor-number scheme
• The forgotten channels: charged Higgs boson decays to a $W^{\pm }$ and a non-SM-like Higgs boson
• Enhancement of the hadronic b quark decays
• Analytic three-loop QCD corrections to top-quark and semileptonic $b\to u$ decays
• B-mesons from top-quark decay in presence of the charged-Higgs boson in the Zero-Mass Variable-Flavor-Number Scheme
• Analytic result for the top-quark width at next-to-next-to-leading order in QCD
• Long distance effects in inclusive rare $B$ decays and phenomenology of $\bar{B}\to X_d{\ell }^{+}{\ell }^{-}$
• Radiatively corrected lepton energy distributions in top quark decays $t\to b{W}^{+}\to b({\ell }^{+}{\nu }_{\ell })$ and $t\to b{H}^{+}\to b({\tau }^{+}{\nu }_{\tau })$ and single charged prong energy distributions from subsequent ${\tau }^{+}$ decays
• NNLO QCD corrections to the polarized top quark decay $t(\uparrow )\to X_b+W^{+}$
• Review of top quark mass measurements in CMS
• Two-loop QCD corrections to semileptonic b-quark decays near maximum recoil
• Master Integrals for Inclusive Weak Decays of Heavy Flavours at Next-to-Leading Order
• Elimination of QCD Renormalization Scale and Scheme Ambiguities
• QCD Corrections to the Radiative Decay B -> X_s gamma
• Top-Quark Decay at Next-to-Next-to-Next-to-Leading Order in QCD
• Mass relations among family members of quarks and leptons