In this work, we analyze the semileptonic decay processes of $$\varLambda _b \rightarrow \varLambda _c$$ in the light-cone sum rule approach. In order to calculate the form factors of the $$\varLambda _b$$ baryon transition matrix element, we use the light-cone distribution amplitudes of $$\varLambda _b$$ obtained from the QCD sum rule in the heavy quark effective field theory framework. With the calculation of the six form factors of the $$\varLambda _b \rightarrow \varLambda _c$$ transition matrix element, the differential decay widths of $$\varLambda _b^0 \rightarrow \varLambda _c^+ \ell ^- {\overline{\nu }}_\ell (\ell = e, ~\mu , ~\tau )$$ and their absolute branching fractions are obtained. Additionally, the ratio of $$R(\varLambda _c^+) \equiv {\mathcal {B}}r(\varLambda _b^0 \rightarrow \varLambda _c^+ \tau ^- {\overline{\nu }}_\tau )/{\mathcal {B}}r(\varLambda _b^0 \rightarrow \varLambda _c^+ \mu ^- {\overline{\nu }}_\mu )$$ is also obtained in this work. Our results are in accord with the newest experimental result and other theoretical calculations and predictions.
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"title": "Light-cone sum rule analysis of semileptonic decays $$\\varLambda _b^0 \\rightarrow \\varLambda _c^+ \\ell ^- {\\overline{\\nu }}_\\ell $$ <math> <mrow> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <msubsup> <mi>\u039b</mi> <mi>c</mi> <mo>+</mo> </msubsup> <msup> <mi>\u2113</mi> <mo>-</mo> </msup> <msub> <mover> <mi>\u03bd</mi> <mo>\u00af</mo> </mover> <mi>\u2113</mi> </msub> </mrow> </math>"
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"value": "In this work, we analyze the semileptonic decay processes of $$\\varLambda _b \\rightarrow \\varLambda _c$$ <math> <mrow> <msub> <mi>\u039b</mi> <mi>b</mi> </msub> <mo>\u2192</mo> <msub> <mi>\u039b</mi> <mi>c</mi> </msub> </mrow> </math> in the light-cone sum rule approach. In order to calculate the form factors of the $$\\varLambda _b$$ <math> <msub> <mi>\u039b</mi> <mi>b</mi> </msub> </math> baryon transition matrix element, we use the light-cone distribution amplitudes of $$\\varLambda _b$$ <math> <msub> <mi>\u039b</mi> <mi>b</mi> </msub> </math> obtained from the QCD sum rule in the heavy quark effective field theory framework. With the calculation of the six form factors of the $$\\varLambda _b \\rightarrow \\varLambda _c$$ <math> <mrow> <msub> <mi>\u039b</mi> <mi>b</mi> </msub> <mo>\u2192</mo> <msub> <mi>\u039b</mi> <mi>c</mi> </msub> </mrow> </math> transition matrix element, the differential decay widths of $$\\varLambda _b^0 \\rightarrow \\varLambda _c^+ \\ell ^- {\\overline{\\nu }}_\\ell (\\ell = e, ~\\mu , ~\\tau )$$ <math> <mrow> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <msubsup> <mi>\u039b</mi> <mi>c</mi> <mo>+</mo> </msubsup> <msup> <mi>\u2113</mi> <mo>-</mo> </msup> <msub> <mover> <mi>\u03bd</mi> <mo>\u00af</mo> </mover> <mi>\u2113</mi> </msub> <mrow> <mo>(</mo> <mi>\u2113</mi> <mo>=</mo> <mi>e</mi> <mo>,</mo> <mspace width=\"3.33333pt\"></mspace> <mi>\u03bc</mi> <mo>,</mo> <mspace width=\"3.33333pt\"></mspace> <mi>\u03c4</mi> <mo>)</mo> </mrow> </mrow> </math> and their absolute branching fractions are obtained. Additionally, the ratio of $$R(\\varLambda _c^+) \\equiv {\\mathcal {B}}r(\\varLambda _b^0 \\rightarrow \\varLambda _c^+ \\tau ^- {\\overline{\\nu }}_\\tau )/{\\mathcal {B}}r(\\varLambda _b^0 \\rightarrow \\varLambda _c^+ \\mu ^- {\\overline{\\nu }}_\\mu )$$ <math> <mrow> <mi>R</mi> <mrow> <mo>(</mo> <msubsup> <mi>\u039b</mi> <mi>c</mi> <mo>+</mo> </msubsup> <mo>)</mo> </mrow> <mo>\u2261</mo> <mi>B</mi> <mi>r</mi> <mrow> <mo>(</mo> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <msubsup> <mi>\u039b</mi> <mi>c</mi> <mo>+</mo> </msubsup> <msup> <mi>\u03c4</mi> <mo>-</mo> </msup> <msub> <mover> <mi>\u03bd</mi> <mo>\u00af</mo> </mover> <mi>\u03c4</mi> </msub> <mo>)</mo> </mrow> <mo>/</mo> <mi>B</mi> <mi>r</mi> <mrow> <mo>(</mo> <msubsup> <mi>\u039b</mi> <mi>b</mi> <mn>0</mn> </msubsup> <mo>\u2192</mo> <msubsup> <mi>\u039b</mi> <mi>c</mi> <mo>+</mo> </msubsup> <msup> <mi>\u03bc</mi> <mo>-</mo> </msup> <msub> <mover> <mi>\u03bd</mi> <mo>\u00af</mo> </mover> <mi>\u03bc</mi> </msub> <mo>)</mo> </mrow> </mrow> </math> is also obtained in this work. Our results are in accord with the newest experimental result and other theoretical calculations and predictions."
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