Rare Decay K{sup +}{yields}{pi}{sup +}{nu}{nu} at the Next-to-Next-to-Leading Order in QCD

Journal Article · Sat Dec 31 04:00:00 EST 2005 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.95.261805· OSTI ID:20771634

Buras, Andrzej J ^[1]; Gorbahn, Martin ^[2]; Haisch, Ulrich; Nierste, Ulrich ^[3]

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1. Physik Department, Technische Universitaet Muenchen, D-85748 Garching (Germany)
2. IPPP, Physics Department, University of Durham, DH1 3LE Durham (United Kingdom)
3. Theoretical Physics Department, Fermilab, Batavia, Illinois 60510 (United States)

We calculate the charm quark contribution to the rare decay K{sup +}{yields}{pi}{sup +}{nu}{nu} in the next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter P{sub c} from {+-}10.1% down to {+-}2.4%, corresponding to scale uncertainties of {+-}1.3%, {+-}1.0%, {+-}0.006, and {+-}1.2 deg. in B(K{sup +}{yields}{pi}{sup +}{nu}{nu}) and in |V{sub td}|, sin2{beta}, and {gamma} extracted from the K{yields}{pi}{nu}{nu} system. The error in P{sub c}=0.37{+-}0.04 is now fully dominated by the current uncertainty of {+-}3.8% in the charm quark mass m{sub c}. We find B(K{sup +}{yields}{pi}{sup +}{nu}{nu})=(8.0{+-}1.1)x10{sup -11}, where the quoted error stems almost entirely from the present uncertainties in m{sub c} and the Cabibbo-Kobayashi-Maskawa elements.

• OSTI ID: 20771634
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 95; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARM PARTICLES
ERRORS
KAONS PLUS
MASS
NEUTRINOS
PIONS PLUS
QUANTUM CHROMODYNAMICS
QUARKS
SEMILEPTONIC DECAY
STANDARD MODEL