Nothing Special   »   [go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

The \(B\rightarrow \bar{K}\pi \ell \ell \) distribution at low hadronic recoil

  • Published:
Pramana Aims and scope Submit manuscript

Abstract

The four-body non-resonant rare \(\bar{B}\rightarrow \bar{K}\pi \ell \ell \) decay is important both as a background to the benchmark resonant mode \(\bar{B}\rightarrow \bar{K}^*\ell \ell \) and as sensitive probe for new physics beyond the Standard Model (SM). We show that in the SM the branching ratio of \(\bar{B}\rightarrow \bar{K}\pi \ell \ell \) is of the order few \(10^{-8}\), which is only an order of magnitude smaller than the \(\bar{B}\rightarrow \bar{K}^*\ell \ell \) decay. Nevertheless, the non-resonant mode is the dominant background to \(\bar{B}\rightarrow \bar{K}^*\ell \ell \) compared to other low mass scalars. We study the angular distributions of the non-resonant mode and show that the decay offers new combinations of short-distance couplings that are absent in the resonant decay. We explore interesting phenomenology in the interference of the resonant and non-resonant modes and discuss methods to extract the relative strong phase. The new physics sensitivity in the light of interference is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  1. G Buchalla and G Isidori, Nucl. Phys. B 525, 333 (1998), arXiv:hep-ph/9801456

    Article  ADS  Google Scholar 

  2. B Grinstein and D Pirjol, Phys. Rev. D 70, 114005 (2004), arXiv:hep-ph/0404250

  3. M Beylich, G Buchalla and T Feldmann, Eur. Phys. J. C 71, 1635 (2011), arXiv:1101.5118 [hep-ph]

    Article  ADS  Google Scholar 

  4. B Grinstein and D Pirjol, Phys. Lett. B 533, 8 (2002), arXiv:hep-ph/0201298

  5. G Burdman and J F Donoghue, Phys. Lett. B 280, 287 (1992)

    Article  ADS  Google Scholar 

  6. C L Y Lee, M Lu and M B Wise, Phys. Rev. D 46, 5040 (1992)

    Article  ADS  Google Scholar 

  7. D Das, G Hiller, M Jung and A Shires, J. High Energy Phys. 1409, 109 (2014), DOI:10.1007/JHEP09(2014)109, arXiv:1406.6681 [hep-ph]

    Article  ADS  Google Scholar 

  8. Particle Data Group Collaboration: J Beringer et al, Phys. Rev. D 86, 010001 (2012)

    Article  Google Scholar 

  9. G Hiller and R Zwicky, J. High Energy Phys. 1403, 042 (2014), arXiv:1312.1923 [hep-ph]

    Article  ADS  Google Scholar 

  10. D Das, G Hiller and M Jung, arXiv:1506.06699 [hep-ph]

  11. C Bobeth, G Hiller and D van Dyk, J. High Energy Phys. 1007, 098 (2010), arXiv:1006.5013 [hep-ph]

    Article  ADS  Google Scholar 

  12. D Becirevic and A Tayduganov, Nucl. Phys. B 868, 368 (2013), arXiv:1207.4004 [hep-ph]

    Article  ADS  Google Scholar 

  13. J Matias, Phys. Rev. D 86, 094024 (2012), arXiv:1209.1525 [hep-ph]

    Article  ADS  Google Scholar 

  14. T Blake, U Egede and A Shires, J. High Energy Phys. 1303, 027 (2013), arXiv:1210.5279 [hep-ph]

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The author would like to thank the organizers of pheno1@IISERM for organizing a wonderful workshop at IISER Mohali and for giving him the opportunity to present the work. The author would also like to thank Gudrun Hiller, Martin Jung and Alex Shires for fruitful collaborations.

Author information

Authors and Affiliations

  1. Physical Research Laboratory, Navrangpura, Ahmedabad, 380 009, India

    Diganta Das

Authors
  1. Diganta Das
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Diganta Das.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das, D. The \(B\rightarrow \bar{K}\pi \ell \ell \) distribution at low hadronic recoil. Pramana - J Phys 89, 61 (2017). https://doi.org/10.1007/s12043-017-1455-3

Download citation

  • Published:

  • DOI: https://doi.org/10.1007/s12043-017-1455-3

Keywords

PACS Nos

Search

Navigation