Method for Extracting the Quark Mixing Parameter cos{alpha} via B{sup {+-}} {yields}{pi}{sup {+-}}e{sup +}e{sup -}

We show that it is possible to extract the weak mixing angle {alpha} via a measurement of the rate for B{sup {+-}}{yields}{pi}{sup {+-}}e{sup +} e{sup -} . The sensitivity to cos {alpha} results from the interference between the long and short distance contributions. The short distance contribution...

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Veröffentlicht in:	Physical review letters 2000-05, Vol.84 (20)
Hauptverfasser:	Grinstein, Benjamin, Nolte, Detlef R., Rothstein, Ira Z.
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Sprache:	eng
Schlagworte:	B MINUS MESONS B PLUS MESONS BRANCHING RATIO CP INVARIANCE ELECTRONS FORM FACTORS PARTICLE DECAY PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PIONS MINUS PIONS PLUS POSITRONS QUARKS THEORETICAL DATA WARD IDENTITY
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creator	Grinstein, Benjamin Nolte, Detlef R. Rothstein, Ira Z.
description	We show that it is possible to extract the weak mixing angle {alpha} via a measurement of the rate for B{sup {+-}}{yields}{pi}{sup {+-}}e{sup +} e{sup -} . The sensitivity to cos {alpha} results from the interference between the long and short distance contributions. The short distance contribution is given in terms of semileptonic form factors. The long distance contribution can be calculated using Ward identities and a short distance operator product expansion if the invariant mass of the lepton pair, q{sup 2} , is larger than {lambda}{sup 2}{sub QCD} . For q{sup 2}{>=}2 GeV {sup 2} the branching fraction is approximately 1x10{sup -8}\|V{sub td}/0.008\|{sup 2} . The shape of d{gamma}/dq{sup 2} is very sensitive to the value of cos {alpha} at small values of q{sup 2} and varies by 50% when -1
doi_str_mv	10.1103/PhysRevLett.84.4545
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The sensitivity to cos {alpha} results from the interference between the long and short distance contributions. The short distance contribution is given in terms of semileptonic form factors. The long distance contribution can be calculated using Ward identities and a short distance operator product expansion if the invariant mass of the lepton pair, q{sup 2} , is larger than {lambda}{sup 2}{sub QCD} . For q{sup 2}{>=}2 GeV {sup 2} the branching fraction is approximately 1x10{sup -8}\|V{sub td}/0.008\|{sup 2} . The shape of d{gamma}/dq{sup 2} is very sensitive to the value of cos {alpha} at small values of q{sup 2} and varies by 50% when -1<cos {alpha}<1 at q{sup 2}=2 GeV {sup 2} . (c) 2000 The American Physical Society.</abstract><cop>United States</cop><doi>10.1103/PhysRevLett.84.4545</doi></addata></record>
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subjects	B MINUS MESONS B PLUS MESONS BRANCHING RATIO CP INVARIANCE ELECTRONS FORM FACTORS PARTICLE DECAY PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PIONS MINUS PIONS PLUS POSITRONS QUARKS THEORETICAL DATA WARD IDENTITY
title	Method for Extracting the Quark Mixing Parameter cos{alpha} via B{sup {+-}} {yields}{pi}{sup {+-}}e{sup +}e{sup -}
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