Complete gluon bremsstrahlung corrections to the process <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mrow><mover><mrow><mi>b</mi></mrow><mrow><mo>→</mo></mrow></mover></mrow></mrow><mrow><msup><mrow><mi>sl</mi></mrow><mrow><mo>+</mo></mrow></msup></mrow><mrow><msup><mrow><mi>l</mi></mrow><mrow><mi>−</mi></mrow></msup></mrow></math></span>

H. H. Asatryan; H. M. Asatrian; C. Greub; M. Walker

doi:10.1103/PhysRevD.66.034009

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Complete gluon bremsstrahlung corrections to the process $\vec{b} {sl}^{+} l^{-}$

H. H. Asatryan¹, H. M. Asatrian¹, C. Greub², and M. Walker ²

¹Yerevan Physics Institute, 2 Alikhanyan Br., 375036 Yerevan, Armenia
²Institut für Theoretische Physik, Universität Bern, CH-3012 Bern, Switzerland

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Phys. Rev. D 66, 034009 – Published 14 August, 2002

DOI: https://doi.org/10.1103/PhysRevD.66.034009

Abstract

In a recent paper, we presented a calculation of the $O (α_{s})$ virtual corrections to $\vec{b} {sl}^{+} l^{-}$ and of those bremsstrahlung terms that are needed to cancel the infrared divergences. In the present paper we work out the remaining $O (α_{s})$ bremsstrahlung corrections to $\vec{b} {sl}^{+} l^{-},$ which do not suffer from infrared and collinear singularities. These new contributions turn out to be small numerically. In addition, we also investigate the impact of the definition of $m_{c}$ on the numerical results.

References (20)

H. H. Asatryan, H. M. Asatrian, C. Greub, and M. Walker, Phys. Lett. B 507, 162 (2001); Phys. Rev. D 65, 074004 (2002).
Z. Ligeti and M. B. Wise, Phys. Rev. D 53, 4937 (1996).
A. F. Falk, M. Luke, and M. J. Savage, Phys. Rev. D 49, 3367 (1994).
A. Ali, G. Hiller, L. T. Handoko, and T. Morozumi, Phys. Rev. D 55, 4105 (1997).
J.-W. Chen, G. Rupak, and M. J. Savage, Phys. Lett. B 410, 285 (1997).
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G. Buchalla and G. Isidori, Nucl. Phys. B525, 333 (1998).
F. Krüger and L. M. Sehgal, Phys. Lett. B 380, 199 (1996).
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E. Lunghi, A. Masiero, I. Scimemi, and L. Silvestrini, Nucl. Phys. B568, 120 (2000).
A. Ali, E. Lunghi, C. Greub, and G. Hiller, Phys. Rev. D 66, 034002 (2002).
H. H. Asatryan, H. M. Asatrian, G. K. Yeghiyan, and G. K. Savvidy, Int. J. Mod. Phys. A 16, 3805 (2001).
M. Misiak, Nucl. Phys. B393, 23 (1993); ibid.B439, 461(E) (1995).
A. J. Buras and M. Münz, Phys. Rev. D 52, 186 (1995).
C. Bobeth, M. Misiak, and J. Urban, Nucl. Phys. B574, 291 (2000).
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[c1] H. H. Asatryan, H. M. Asatrian, C. Greub, and M. Walker, Phys. Lett. B 507, 162 (2001); Phys. Rev. D 65, 074004 (2002).

[c2] Z. Ligeti and M. B. Wise, Phys. Rev. D 53, 4937 (1996).

[c3] A. F. Falk, M. Luke, and M. J. Savage, Phys. Rev. D 49, 3367 (1994).

[c4] A. Ali, G. Hiller, L. T. Handoko, and T. Morozumi, Phys. Rev. D 55, 4105 (1997).

[c5] J.-W. Chen, G. Rupak, and M. J. Savage, Phys. Lett. B 410, 285 (1997).

[c6] G. Buchalla, G. Isidori, and S. J. Rey, Nucl. Phys. B511, 594 (1998).

[c7] G. Buchalla and G. Isidori, Nucl. Phys. B525, 333 (1998).

[c8] F. Krüger and L. M. Sehgal, Phys. Lett. B 380, 199 (1996).

[c9] A. Ali, P. Ball, L. T. Handoko, and G. Hiller, Phys. Rev. D 61, 074024 (2000).

[c10] E. Lunghi and I. Scimemi, Nucl. Phys. B574, 43 (2000).

[c11] E. Lunghi, A. Masiero, I. Scimemi, and L. Silvestrini, Nucl. Phys. B568, 120 (2000).

[c12] A. Ali, E. Lunghi, C. Greub, and G. Hiller, Phys. Rev. D 66, 034002 (2002).

[c13] H. H. Asatryan, H. M. Asatrian, G. K. Yeghiyan, and G. K. Savvidy, Int. J. Mod. Phys. A 16, 3805 (2001).

[c14] M. Misiak, Nucl. Phys. B393, 23 (1993); ibid.B439, 461(E) (1995).

[c15] A. J. Buras and M. Münz, Phys. Rev. D 52, 186 (1995).

[c16] C. Bobeth, M. Misiak, and J. Urban, Nucl. Phys. B574, 291 (2000).

[c17] K. Chetyrkin, M. Misiak, and M. Münz, Phys. Lett. B 400, 206 (1997).

[c18] N. Cabibbo and L. Maiani, Phys. Lett. 79B, 109 (1978).

[c19] Y. Nir, Phys. Lett. B 221, 184 (1989).

[c20] P. Gambino and M. Misiak, Nucl. Phys. B611, 338 (2001).

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Complete gluon bremsstrahlung corrections to the process $\vec{b} {sl}^{+} l^{-}$

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Complete gluon bremsstrahlung corrections to the process b→sl+l−

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References (20)

Complete gluon bremsstrahlung corrections to the process $\vec{b} {sl}^{+} l^{-}$