SCET 2023

Heavy Meson LCDA: SCET to bHQET Matching

28 Mar 2023, 12:00

20m

Room 310, Building 91 (Lawrence Berkeley National Lab)

Session 6

Speaker

Gael Finauri (TUM)

Description

Light-cone distribution amplitudes (LCDAs) frequently arise in factorization theorems involving light and heavy mesons.
The QCD LCDA for heavy mesons includes short-distance physics at energy scales of the heavy quark mass.
In this talk I will explain how to achieve the separation of this perturbative scale from the purely hadronic effects by expressing the QCD LCDA as a convolution of a perturbative ``jet" function with the universal, quark-mass independent HQET LCDA.
The calculation of the jet function is performed in the reference frame where the heavy meson is highly boosted, resulting in an SCET to boosted HQET (bHQET) matching.
This factorization allows to efficiently resum large logarithms between ${\mathrm{\Lambda }}_{\mathrm{Q}\mathrm{C}\mathrm{D}}$ and $m_Q$ as well as between $m_Q$ and the scale of the hard process in the production of boosted heavy mesons at colliders.
As an application I will present updated theoretical predictions for the brancing ratio of $W\to B\gamma$.

Presentation materials

Finauri.pdf