Corrections to the Bjorken and Voloshin sum rules

Journal Article · Sat Mar 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.3027· OSTI ID:467551

Boyd, C G ^[1]; Ligeti, Z; Wise, M B ^[2]; Rothstein, I Z ^[3]

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1. Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 (United States)
2. California Institute of Technology, Pasadena, California 91125 (United States)
3. Department of Physics, University of California at San Diego, La Jolla, California 92093 (United States)

We calculate near zero recoil the order {alpha}{sub s} corrections to the Bjorken and Voloshin sum rules that bound the B{r_arrow}D{sup ({asterisk})}scr(l){bar {nu}} form factors. These bounds are derived by relating the result of inserting a complete set of physical states in a time-ordered product of weak currents to the operator product expansion. The sum rules sum over physical states with excitation energies less than a scale {Delta}. We find that the corrections to the Bjorken bound are moderate, while the Voloshin bound receives sizable corrections enhanced by {Delta}/{Lambda}{sub QCD}. With some assumptions, we find that the slope parameter for the form factor h{sub A{sub 1}} in B{r_arrow}D{sup {asterisk}}scr(l){bar {nu}} decay satisfies 0.4{approx_lt}{rho}{sub A{sub 1}}{sup 2}{approx_lt}1.3. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Carnegie-Mellon University
• DOE Contract Number: FG02-91ER40682; FG03-90ER40546; FG03-92ER40701
• OSTI ID: 467551
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 5 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CORRECTIONS
EXCITATION
FORM FACTORS
OPERATOR PRODUCT EXPANSION
QUANTUM CHROMODYNAMICS
SEMILEPTONIC DECAY
SUM RULES