Non-local matrix elements in
Nov 19, 2020
35 pages
Published in:
- JHEP 02 (2021) 088
- Published: Feb 10, 2021
e-Print:
- 2011.09813 [hep-ph]
Report number:
- EOS-2020-01,
- TUM-HEP-1292/20,
- P3H-20-066,
- SI-HEP-2020-27
View in:
Citations per year
Abstract: (Springer)
We revisit the theoretical predictions and the parametrization of non-local matrix elements in rare and decays. We improve upon the current state of these matrix elements in two ways. First, we recalculate the hadronic matrix elements needed at subleading power in the light-cone OPE using B-meson light-cone sum rules. Our analytical results supersede those in the literature. We discuss the origin of our improvements and provide numerical results for the processes under consideration. Second, we derive the first dispersive bound on the non-local matrix elements. It provides a parametric handle on the truncation error in extrapolations of the matrix elements to large timelike momentum transfer using the z expansion. We illustrate the power of the dispersive bound at the hand of a simple phenomenological application. As a side result of our work, we also provide numerical results for the B → ϕ form factors from B-meson light-cone sum rules.Note:
- 40 pages, 3 figures, 2 ancillary files. v2: One typo corrected and Bs->phi LCSRs anc file corrected
- Beyond Standard Model
- Heavy Quark Physics
- Nonperturbative Effects
- B/s: semileptonic decay
- sum rule: light cone
- operator product expansion: light cone
- operator: nonlocal
- hadron: form factor
- meson: dispersion relation
- momentum transfer
References(67)
Figures(5)
Seminars
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