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Volumn 75, Issue 11, 2007, Pages

Bounds on R-parity violating supersymmetric couplings from leptonic and semileptonic meson decays

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EID: 34347391688     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.114016     Document Type: Article
Times cited : (91)

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    • Our effective Lagrangian is to be compared with those in (noting that both use the convention where there is no factor of 12 before the λ terms). We disagree with the form of the effective Lagrangians in, and agree with those in. We note, however, that through projection onto vector or pseudoscalar quark bilinears the difference with reduces to a simple overall sign error of the matrix element, which is then eliminated by squaring. Accordingly, this has no ill effects in the quadratic coupling dominance convention. Also, in the case of we note that it is merely that the wrong coupling in the second term of their Eq. (7) has the * denoting complex conjugation.
    • Our effective Lagrangian is to be compared with those in (noting that both use the convention where there is no factor of 12 before the λ terms). We disagree with the form of the effective Lagrangians in, and agree with those in. We note, however, that through projection onto vector or pseudoscalar quark bilinears the difference with reduces to a simple overall sign error of the matrix element, which is then eliminated by squaring. Accordingly, this has no ill effects in the quadratic coupling dominance convention. Also, in the case of we note that it is merely that the wrong coupling in the second term of their Eq. (7) has the * denoting complex conjugation.
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    • In all these cases, it turns out we are agreeing with, though only gives the bounds to the first significant figure, and we assume that the differences (6.7×10-9 compared to 6×10-9 and 2.7×10-7 compared to 3×10-7) arise from rounding errors.
    • In all these cases, it turns out we are agreeing with, though only gives the bounds to the first significant figure, and we assume that the differences (6.7×10-9 compared to 6×10-9 and 2.7×10-7 compared to 3×10-7) arise from rounding errors.
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    • We do not agree with the bounds presented in, which are just those taken from. We believe that presented incorrect bounds, and that this arises from their Eq. (13) for the decay width Γ(Bqi→ll-lm+). We find that the ratio of the decay width (13) in over our decay width 2.19 is 4(mb+mqi)2/MBqi2. While mb+mqi/MBqi for heavy mesons, we believe that Eq. (13) in misses a factor 14 which results in too tight bounds. However, as the experimental bounds for many of the rare B decay branching ratios have improved, we still obtain bounds for the couplings associated with these decays tighter than in. Note that we agree with the corresponding Eq. (8) in (taking into account that defines the couplings λ such that the superpotential does not have the factor of 12 before the trilinear lepton term) and with the generic result in.
    • We do not agree with the bounds presented in, which are just those taken from. We believe that presented incorrect bounds, and that this arises from their Eq. (13) for the decay width Γ(Bqi→ll-lm+). We find that the ratio of the decay width (13) in over our decay width 2.19 is 4(mb+mqi)2/MBqi2. While mb+mqi/MBqi for heavy mesons, we believe that Eq. (13) in misses a factor 14 which results in too tight bounds. However, as the experimental bounds for many of the rare B decay branching ratios have improved, we still obtain bounds for the couplings associated with these decays tighter than in. Note that we agree with the corresponding Eq. (8) in (taking into account that defines the couplings λ such that the superpotential does not have the factor of 12 before the trilinear lepton term) and with the generic result in.
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