Exclusive rare B→K * ℓ + ℓ - decays at low recoil: Controlling the long-distance effects

By B. Grinstein, D. Pirjol. 2004

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B ! Ke + e in the low recoil region (large lepton invariant mass q 2 � m 2). In this region the long-distance effects from quark loops can be computed with the help of an operator product expansion in 1/Q, with Q = {mb, p q 2 }. Nonperturbative effects up to and including terms suppressed by �/Q and m 2/m 2 relative to the short-distance amplitude can be included in a model-independent way. Based on these results, we propose an improved method for determining the CKM matrix element |Vub| from a combination of rare and semileptonic B and D decays near the zero recoil point. The residual theoretical uncertainty from long distance effects in this |Vub| determination comes from terms in the OPE of order αs(Q)�/mb, α 2(Q), m 4/m 4 and duality violations, and is estimated to be below 10%.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b18a988a9433dcaf5e4a75bd478b63059c6fcf04

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Citations in the corpus

Implications of LHCb measurements and future prospects - eScholarship (2013, background): “The operator product expansion (OPE) predicts small sub-leading corrections which are suppressed by either (ΛQCD/mb) 2 [57] or αSΛQCD/mb [56] (depending on whether full QCD or subsequent matching on heavy quark effective theory in combination with form factor symmetries [58] is adopted).”
On the anomalies in the latest LHCb data (2016, background): “One finds small power corrections below 5% [73,74].”
Resonances gone topsy turvy - the charm of QCD or new physics in b→sℓ+ℓ−? (2014, unknown): “This approach was suggested and investigated in [16] within heavy quark effective theory.”
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].”
Opportunities in Flavour Physics at the HL-LHC and HE-LHC (2018, background): “It is worth mentioning that a complemetary approach proposing a theoretical computation of the subleading amplitude using an OPE based on soft-collinear factorization in QCD can be found in Ref.”