Search for signatures of sterile neutrinos with Double Chooz

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<jats:title>Abstract</jats:title><jats:p>We present a search for signatures of neutrino mixing of electron anti-neutrinos with additional hypothetical sterile neutrino flavors using the Double Chooz experiment. The search is based on data from 5 years of operation of Double Chooz, including 2 years in the two-detector configuration. The analysis is based on a profile likelihood, i.e. comparing the data to the model prediction of disappearance in a data-to-data comparison of the two respective detectors. The analysis is optimized for a model of three active and one sterile neutrino. It is sensitive in the typical mass range <jats:inline-formula><jats:alternatives><jats:tex-math>$${5 \times 10^{-3}}\,\mathrm{eV}^2 \lesssim \varDelta m^2_{41} \lesssim {3 \times 10^{-1}}\,\mathrm{eV}^2 $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mrow> <mml:mn>5</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>3</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:mspace /> <mml:msup> <mml:mrow> <mml:mi>eV</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>≲</mml:mo> <mml:mi>Δ</mml:mi> <mml:msubsup> <mml:mi>m</mml:mi> <mml:mn>41</mml:mn> <mml:mn>2</mml:mn> </mml:msubsup> <mml:mo>≲</mml:mo> <mml:mrow> <mml:mn>3</mml:mn> <mml:mo>×</mml:mo> <mml:msup> <mml:mn>10</mml:mn> <mml:mrow> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:msup> </mml:mrow> <mml:mspace /> <mml:msup> <mml:mrow> <mml:mi>eV</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> for mixing angles down to <jats:inline-formula><jats:alternatives><jats:tex-math>$$\sin ^2 2\theta _{14} \gtrsim {0.02} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mo>sin</mml:mo> <mml:mn>2</mml:mn> </mml:msup> <mml:mn>2</mml:mn> <mml:msub> <mml:mi>θ</mml:mi> <mml:mn>14</mml:mn> </mml:msub> <mml:mo>≳</mml:mo> <mml:mrow> <mml:mn>0.02</mml:mn> </mml:mrow> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula>. No significant disappearance additionally to the conventional disappearance related to <jats:inline-formula><jats:alternatives><jats:tex-math>$$\theta _{13} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>θ</mml:mi> <mml:mn>13</mml:mn> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> is observed and correspondingly exclusion bounds on the sterile mixing parameter <jats:inline-formula><jats:alternatives><jats:tex-math>$$\theta _{14} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>θ</mml:mi> <mml:mn>14</mml:mn> </mml:msub> </mml:math></jats:alternatives></jats:inline-formula> as a function of <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \varDelta m^2_{41} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>Δ</mml:mi> <mml:msubsup> <mml:mi>m</mml:mi> <mml:mn>41</mml:mn> <mml:mn>2</mml:mn> </mml:msubsup> </mml:mrow> </mml:math></jats:alternatives></jats:inline-formula> are obtained.</jats:p>

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