Leptonic Decays of Charged Pseudoscalar Mesons - 2015 - INSPIRE

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Leptonic Decays of Charged Pseudoscalar Mesons - 2015

Jonathan L. Rosner
(
- Chicago U. and
- Chicago U., EFI
)
,
Sheldon Stone
(
- Syracuse U.
)
,
Ruth S. Van de Water
(
- Fermilab
)

Sep 7, 2015

27 pages

e-Print:

1509.02220 [hep-ph]

Report number:

EFI-15-21,
FERMILAB-PUB-15-384-T

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Abstract: (arXiv)

We review the physics of purely leptonic decays of

\pi^\pm

,

K^\pm

,

D^{\pm}

,

D_s^\pm

, and

B^\pm

pseudoscalar mesons. The measured decay rates are related to the product of the relevant weak-interaction-based CKM matrix element of the constituent quarks and a strong interaction parameter related to the overlap of the quark and antiquark wave-functions in the meson, called the decay constant

f_P

. The leptonic decay constants for

\pi^\pm

,

K^\pm

,

D^{\pm}

,

D_s^\pm

, and

B^\pm

mesons can be obtained with controlled theoretical uncertainties and high precision from {\it ab initio} lattice-QCD simulations. The combination of experimental leptonic decay-rate measurements and theoretical decay-constant calculations enables the determination of several elements of the CKM matrix within the standard model. These determinations are competitive with those obtained from semileptonic decays, and also complementary because they are sensitive to different quark flavor-changing currents. They can also be used to test the unitarity of the first and second rows of the CKM matrix. Conversely, taking the CKM elements predicted by unitarity, one can infer "experimental" values for

f_P

that can be compared with theory. These provide tests of lattice-QCD methods, provided new-physics contributions to leptonic decays are negligible at the current level of precision. This review is the basis of the article in the Particle Data Group's 2016 edition, updating the versions in Refs. [1-3].

Note:

Prepared for the 2016 Particle Data Book, 29 pages, 1 figure. Version 2 includes response to reviews •
Submitted to Particle Data Book

pseudoscalar meson: leptonic decay
pi: leptonic decay
K: leptonic decay
D: leptonic decay
D/s: leptonic decay
B: leptonic decay
charmed meson: leptonic decay
bottom meson: leptonic decay
decay rate: calculated
decay rate: measured

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Figures(1)

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