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Home > Advances in High Energy Physics (Hindawi) > Analysis of <math id="M1" xmlns="http://www.w3.org/1998/Math/MathML"><msub><mrow><mi>Λ</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>→</mo><mi>Λ</mi><msup><mrow><mi>μ</mi></mrow><mrow><mo>+</mo></mrow></msup><msup><mrow><mi>μ</mi></mrow><mrow><mo>-</mo></mrow></msup></math> Decay in Scalar Leptoquark Model |

Wang, Shuai-Wei (Institute of Particle Physics, Central China Normal University, Wuhan, Hubei 430079, China) (Department of Physics, Nanyang Normal University, Nanyang, Henan 473061, China) ; Yang, Ya-Dong (Institute of Particle Physics, Central China Normal University, Wuhan, Hubei 430079, China)

19 August 2016

**Abstract: **We analyze the baryonic semilepton decay ${\mathrm{\Lambda}}_{b}\to \mathrm{\Lambda}{\mu}^{+}{\mu}^{-}$ in the scalar leptoquark models with $X(\mathrm{3,2},\mathrm{7}/\mathrm{6})$ and $X(\mathrm{3,2},\mathrm{1}/\mathrm{6})$ states, respectively. We also discuss the effects of these two NP models on some physical observables. For some measured observables, like the differential decay width, the longitudinal polarization of the dilepton system, the lepton-side forward-backward asymmetry, and the baryon-side forward-backward asymmetry, we find that the prediction values of SM are consistent with the current data in most ${q}^{\mathrm{2}}$ ranges, where the prediction values of these two NP models can also keep consistent with the current data with $\mathrm{1}\sigma $ . However, in some ${q}^{\mathrm{2}}$ ranges, the prediction values of SM are difficult to meet the current data, but the contributions of these two NP models can meet them or keep close to them. For the double-lepton polarization asymmetries, ${P}_{LT}$ , ${P}_{TL}$ , ${P}_{NN}$ , and ${P}_{TT}$ are sensitive to the scalar leptoquark model $X(\mathrm{3,2},\mathrm{7}/\mathrm{6})$ but not to $X(\mathrm{3,2},\mathrm{1}/\mathrm{6})$ . However, ${P}_{LN}$ , ${P}_{NL}$ , ${P}_{TN}$ , and ${P}_{NT}$ are not sensitive to these two NP models.

**Published in: ****Advances in High Energy Physics 2016 (2016) 5796131**
**Published by: **Hindawi Publishing Corporation

**DOI: **10.1155/2016/5796131

**arXiv: **1608.03662v1

**License: **CC-BY-3.0