Theory of B→K(∗)l+l− decays at high q2: OPE and quark–hadron duality

By M. Beylich, G. Buchalla, T. Feldmann. 2011

200 citations recorded by the source corpus.

We develop a systematic framework for exclusive rare B decays of the type B→K(∗)l+l− at large dilepton invariant mass q2. It is based on an operator product expansion (OPE) for the required matrix elements of the nonleptonic weak Hamiltonian in this kinematic regime. Our treatment differs from previous work by a simplified operator basis, the explicit calculation of matrix elements of subleading operators, and by a quantitative estimate of duality violation. The latter point is discussed in detail, including the connection with the existence of an OPE and an illustration within a simple toy model.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/35d3071cd358e8d41cb7fde517daee79425f53d9

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In Nuclear and High Energy Physics

Citations in the corpus

Flavour anomalies after the RK∗ measurement (2017, unknown): “5, 4], [4, 6], [15, 17], [17, 19] 〈S4〉(B → K∗μμ) [1.”
Differential branching fraction and angular analysis of the decay B0 → K∗0μ+μ− (2013, methodology): “In the soft-recoil, high q(2) region, an operator product expansion in inverse b-quark mass (1/mb) and 1/ √ q2 is used to estimate the long-distance contributions from quark loops [28, 29].”
Λ b →Λ ℓ + ℓ - form factors, differential branching fraction, and angular observables from lattice QCD with relativistic b quarks (2016, methodology): “,6;8 with the quark electromagnetic current [19, 20].”
Resonances gone topsy turvy - the charm of QCD or new physics in b→sℓ+ℓ−? (2014, methodology): “An analysis in QCD (without expanding in the mb-mass) including modelling of duality violation effects was given in [17].”
Opportunities in Flavour Physics at the HL-LHC and HE-LHC (2018, methodology): “Currently, these analyses are carried out within the “Krüger-Sehgal” (naive factorization) approach [863], which allows one to use data on the R(s) ratio in ee annihilation [860, 864, 865].”
Patterns of flavour violation in models with vector-like quarks (2016, background): “We add additional relative uncertainties of 15% for missing NLO QCD corrections and 10% for possible duality violation [114] in quadrature.”
On the anomalies in the latest LHCb data (2016, background): “One finds small power corrections below 5% [73,74].”
Model-independent constraints on new physics in b → s transitions (2011, methodology): “[73] it has been argued that non-perturbative corrections not accounted for by the form factors are of the order of only a few percent.”