<p>In this paper we study the bounds that can be inferred on New Physics couplings to heavy sterile neutrinos <i>N</i> from the recent measurements performed by the Belle collaboration of the angular analysis of <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi>B</mi> <mo>→</mo> <msup> <mi>D</mi> <mo>∗</mo> </msup> <mi>ℓ</mi> <msub> <mover accent="true"> <mi>ν</mi> <mo stretchy="true">¯</mo> </mover> <mi>ℓ</mi> </msub> </math></EquationSource> <EquationSource Format="TEX">\( B\to {D}^{\ast}\ell {\overline{\nu}}_{\ell } \)</EquationSource> </InlineEquation> decays, with <i>ℓ</i> = <i>e</i>, <i>μ</i>. Indeed, a sterile neutrino <i>N</i> may lead to competing <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi>B</mi> <mo>→</mo> <msup> <mi>D</mi> <mo>∗</mo> </msup> <mi>ℓ</mi> <mover accent="true"> <mi>N</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( B\to {D}^{\ast}\ell \overline{N} \)</EquationSource> </InlineEquation> decays and Belle might have measured an incoherent sum of these two independent channels. After reviewing the theoretical formalism required to describe this phenomenon in full generality, we first perform a bump hunt in the <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>M</mi> <mtext>miss</mtext> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {M}_{\textrm{miss}}^2 \)</EquationSource> </InlineEquation> Belle distribution to search for evidences of an additional massive neutrino. We found in such a way a small hint at <InlineEquation ID="IEq4"> <EquationSource Format="MATHML"><math display="inline"> <msubsup> <mi>M</mi> <mtext>miss</mtext> <mn>2</mn> </msubsup> </math></EquationSource> <EquationSource Format="TEX">\( {M}_{\textrm{miss}}^2 \)</EquationSource> </InlineEquation> ∼ (354 MeV)<sup>2</sup>. However, the Belle angular analysis is sensitive to <i>N</i> masses up to <InlineEquation ID="IEq5"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">O</mi> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{O} \)</EquationSource> </InlineEquation>(50 MeV), preventing us to further inspect this hint. Nevertheless, we study the potential impact of this additional channel in the allowed mass range on the measured angular distributions and extract model-independent bounds on the new-physics couplings which could mediate such an interaction. In particular, in the mass window here inspected, we obtain the most stringent bounds for vector and left-handed scalar operators to date.</p>

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Model independent bounds on heavy sterile neutrinos from the angular distribution of B → D*ℓν decays

  • Florian U. Bernlochner,
  • Marco Fedele,
  • Tim Kretz,
  • Ulrich Nierste,
  • Markus T. Prim

摘要

In this paper we study the bounds that can be inferred on New Physics couplings to heavy sterile neutrinos N from the recent measurements performed by the Belle collaboration of the angular analysis of B D ν ¯ \( B\to {D}^{\ast}\ell {\overline{\nu}}_{\ell } \) decays, with = e, μ. Indeed, a sterile neutrino N may lead to competing B D N ¯ \( B\to {D}^{\ast}\ell \overline{N} \) decays and Belle might have measured an incoherent sum of these two independent channels. After reviewing the theoretical formalism required to describe this phenomenon in full generality, we first perform a bump hunt in the M miss 2 \( {M}_{\textrm{miss}}^2 \) Belle distribution to search for evidences of an additional massive neutrino. We found in such a way a small hint at M miss 2 \( {M}_{\textrm{miss}}^2 \) ∼ (354 MeV)2. However, the Belle angular analysis is sensitive to N masses up to O \( \mathcal{O} \) (50 MeV), preventing us to further inspect this hint. Nevertheless, we study the potential impact of this additional channel in the allowed mass range on the measured angular distributions and extract model-independent bounds on the new-physics couplings which could mediate such an interaction. In particular, in the mass window here inspected, we obtain the most stringent bounds for vector and left-handed scalar operators to date.