This paper describes the angular distribution of $$ {\Lambda}_b^0\to \Lambda \left(\to p{K}^{-}\right){\ell}^{+}{\ell}^{-} $$ decays. A full expression is given for the case of multiple interfering spin-states with spin ≤ $$ \frac{5}{2} $$ . This distribution is relevant for future measurements of $$ {\Lambda}_b^0\to p{K}^{-}{\ell}^{+}{\ell}^{-} $$ decays, where different states cannot easily be separated based on their mass alone. New observables arise when considering spin- $$ \frac{5}{2} $$ states as well as interference between states. An exploration of their behaviour for a variety of beyond the Standard Model scenarios shows that some of these observables exhibit interesting sensitivity to the Wilson coefficients involved in b → sℓ + ℓ − transitions. Others are insensitive to the Wilson coefficients and can be used to verify the description of $$ {\Lambda}_b^0\to \Lambda $$ form-factors. A basis of weighting functions that can be used to determine all of the angular observables described in this paper in a moment analysis of the experimental data is also provided.
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"title": "Angular distribution of <math> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <mi>p</mi> <msup> <mi>K</mi> <mo>\u2212</mo> </msup> <msup> <mi>\u2113</mi> <mo>+</mo> </msup> <msup> <mi>\u2113</mi> <mo>\u2212</mo> </msup> </math> $$ {\\Lambda}_b^0\\to p{K}^{-}{\\ell}^{+}{\\ell}^{-} $$ decays comprising \u039b resonances with spin \u2264 5/2"
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"value": "This paper describes the angular distribution of <math> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <mi>\u039b</mi> <mfenced> <mrow> <mo>\u2192</mo> <mi>p</mi> <msup> <mi>K</mi> <mo>\u2212</mo> </msup> </mrow> </mfenced> <msup> <mi>\u2113</mi> <mo>+</mo> </msup> <msup> <mi>\u2113</mi> <mo>\u2212</mo> </msup> </math> $$ {\\Lambda}_b^0\\to \\Lambda \\left(\\to p{K}^{-}\\right){\\ell}^{+}{\\ell}^{-} $$ decays. A full expression is given for the case of multiple interfering spin-states with spin \u2264 <math> <mfrac> <mn>5</mn> <mn>2</mn> </mfrac> </math> $$ \\frac{5}{2} $$ . This distribution is relevant for future measurements of <math> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <mi>p</mi> <msup> <mi>K</mi> <mo>\u2212</mo> </msup> <msup> <mi>\u2113</mi> <mo>+</mo> </msup> <msup> <mi>\u2113</mi> <mo>\u2212</mo> </msup> </math> $$ {\\Lambda}_b^0\\to p{K}^{-}{\\ell}^{+}{\\ell}^{-} $$ decays, where different states cannot easily be separated based on their mass alone. New observables arise when considering spin- <math> <mfrac> <mn>5</mn> <mn>2</mn> </mfrac> </math> $$ \\frac{5}{2} $$ states as well as interference between states. An exploration of their behaviour for a variety of beyond the Standard Model scenarios shows that some of these observables exhibit interesting sensitivity to the Wilson coefficients involved in b \u2192 s\u2113 + \u2113 \u2212 transitions. Others are insensitive to the Wilson coefficients and can be used to verify the description of <math> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <mi>\u039b</mi> </math> $$ {\\Lambda}_b^0\\to \\Lambda $$ form-factors. A basis of weighting functions that can be used to determine all of the angular observables described in this paper in a moment analysis of the experimental data is also provided."
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