Study of scalar nonstandard interaction at the Protvino to super-ORCA experiment

In this paper we have studied the phenomenon of nonstandard interaction mediated by a scalar field (SNSI) in the context of P2SO experiment and compared its sensitivity with DUNE. In particular, we have studied the capability of these two experiments to put bounds on the diagonal SNSI parameters, i.e., <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>η</a:mi></a:mrow><a:mrow><a:mi>e</a:mi><a:mi>e</a:mi></a:mrow></a:msub></a:mrow></a:math>, <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:msub><c:mi>η</c:mi><c:mrow><c:mi>μ</c:mi><c:mi>μ</c:mi></c:mrow></c:msub></c:math>, and <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msub><e:mi>η</e:mi><e:mrow><e:mi>τ</e:mi><e:mi>τ</e:mi></e:mrow></e:msub></e:math> and studied the impact of these parameters on the determination of neutrino mass ordering, octant of <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:msub><g:mi>θ</g:mi><g:mn>23</g:mn></g:msub></g:math> and <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mi>C</i:mi><i:mi>P</i:mi></i:math> violation (CPV). In our analysis we find that, the parameter <k:math xmlns:k="http://www.w3.org/1998/Math/MathML" display="inline"><k:mi mathvariant="normal">Δ</k:mi><k:msubsup><k:mi>m</k:mi><k:mn>31</k:mn><k:mn>2</k:mn></k:msubsup></k:math> has a nontrivial role if one wants estimate the bounds on <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"><n:msub><n:mi>η</n:mi><n:mrow><n:mi>μ</n:mi><n:mi>μ</n:mi></n:mrow></n:msub></n:math> and <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"><p:msub><p:mi>η</p:mi><p:mrow><p:mi>τ</p:mi><p:mi>τ</p:mi></p:mrow></p:msub></p:math> assuming SNSI does not exist in nature. Our results show that sensitivity of P2SO and DUNE to constraint <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"><r:msub><r:mi>η</r:mi><r:mrow><r:mi>μ</r:mi><r:mi>μ</r:mi></r:mrow></r:msub></r:math> and <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"><t:msub><t:mi>η</t:mi><t:mrow><t:mi>τ</t:mi><t:mi>τ</t:mi></t:mrow></t:msub></t:math> are similar whereas the sensitivity of DUNE is slightly better for <v:math xmlns:v="http://www.w3.org/1998/Math/MathML" display="inline"><v:msub><v:mi>η</v:mi><v:mrow><v:mi>e</v:mi><v:mi>e</v:mi></v:mrow></v:msub></v:math>. We find that the mass ordering and CPV sensitivities are mostly affected by <x:math xmlns:x="http://www.w3.org/1998/Math/MathML" display="inline"><x:msub><x:mi>η</x:mi><x:mrow><x:mi>e</x:mi><x:mi>e</x:mi></x:mrow></x:msub></x:math> compared to <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" display="inline"><z:msub><z:mi>η</z:mi><z:mrow><z:mi>μ</z:mi><z:mi>μ</z:mi></z:mrow></z:msub></z:math> and <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"><bb:msub><bb:mi>η</bb:mi><bb:mrow><bb:mi>τ</bb:mi><bb:mi>τ</bb:mi></bb:mrow></bb:msub></bb:math> if one assumes SNSI exists in nature. On the other hand, octant sensitivity is mostly affected by <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"><db:msub><db:mi>η</db:mi><db:mrow><db:mi>μ</db:mi><db:mi>μ</db:mi></db:mrow></db:msub></db:math> and <fb:math xmlns:fb="http://www.w3.org/1998/Math/MathML" display="inline"><fb:msub><fb:mi>η</fb:mi><fb:mrow><fb:mi>τ</fb:mi><fb:mi>τ</fb:mi></fb:mrow></fb:msub></fb:math>. These sensitivities can be either higher or lower than the standard three flavor scenario depending on the relative sign of the SNSI parameters. Regarding the precision of atmospheric mixing parameters, we find that the precision of <hb:math xmlns:hb="http://www.w3.org/1998/Math/MathML" display="inline"><hb:msub><hb:mi>θ</hb:mi><hb:mn>23</hb:mn></hb:msub></hb:math> deteriorates significantly in the presence of <jb:math xmlns:jb="http://www.w3.org/1998/Math/MathML" display="inline"><jb:msub><jb:mi>η</jb:mi><jb:mrow><jb:mi>μ</jb:mi><jb:mi>μ</jb:mi></jb:mrow></jb:msub></jb:math> and <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" display="inline"><lb:msub><lb:mi>η</lb:mi><lb:mrow><lb:mi>τ</lb:mi><lb:mi>τ</lb:mi></lb:mrow></lb:msub></lb:math>.