Global fit to <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mi>b</mml:mi> <mml:mo stretchy="false">→</mml:mo> <mml:mi>c</mml:mi> <mml:mi>τ</mml:mi> <mml:mi>ν</mml:mi> </mml:math> anomalies as of Spring 2024

Abstract

Recently, several new experimental results of the test of lepton flavor universality (LFU) in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>B</a:mi> <a:mo stretchy="false">→</a:mo> <a:msup> <a:mi>D</a:mi> <a:mrow> <a:mo stretchy="false">(</a:mo> <a:mo>*</a:mo> <a:mo stretchy="false">)</a:mo> </a:mrow> </a:msup> </a:math> semileptonic decays were announced: the first result of <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msub> <f:mi>R</f:mi> <f:mi>D</f:mi> </f:msub> </f:math> from the LHCb run 1 data, the first results of <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:msub> <h:mi>R</h:mi> <h:mi>D</h:mi> </h:msub> </h:math> and <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:msub> <j:mi>R</j:mi> <j:msup> <j:mi>D</j:mi> <j:mo>*</j:mo> </j:msup> </j:msub> </j:math> from the LHCb run 2 data, and the first result of <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:msub> <l:mi>R</l:mi> <l:msup> <l:mi>D</l:mi> <l:mo>*</l:mo> </l:msup> </l:msub> </l:math> from the Belle II collaboration. Including these new data, a global analysis still prefers the violation of the LFU between the tau and light leptons. A new world average of the data from the , LHCb, Belle, and Belle II collaborations is <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msub> <n:mi>R</n:mi> <n:mi>D</n:mi> </n:msub> <n:mo>=</n:mo> <n:mn>0.342</n:mn> <n:mo>±</n:mo> <n:mn>0.026</n:mn> </n:math> and <p:math xmlns:p="http://www.w3.org/1998/Math/MathML" display="inline"> <p:msub> <p:mi>R</p:mi> <p:msup> <p:mi>D</p:mi> <p:mo>*</p:mo> </p:msup> </p:msub> <p:mo>=</p:mo> <p:mn>0.287</p:mn> <p:mo>±</p:mo> <p:mn>0.012</p:mn> </p:math> . Including this new data, we update a circumstance of the <r:math xmlns:r="http://www.w3.org/1998/Math/MathML" display="inline"> <r:mi>b</r:mi> <r:mo stretchy="false">→</r:mo> <r:mi>c</r:mi> <r:mi>τ</r:mi> <r:mover accent="true"> <r:mi>ν</r:mi> <r:mo stretchy="false">¯</r:mo> </r:mover> </r:math> measurements and their implications for new physics (NP). Incorporating recent developments for the <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mi>B</w:mi> <w:mo stretchy="false">→</w:mo> <w:msup> <w:mi>D</w:mi> <w:mrow> <w:mo stretchy="false">(</w:mo> <w:mo>*</w:mo> <w:mo stretchy="false">)</w:mo> </w:mrow> </w:msup> </w:math> form factors in the Standard Model, we observe a <bb:math xmlns:bb="http://www.w3.org/1998/Math/MathML" display="inline"> <bb:mn>4.4</bb:mn> <bb:mi>σ</bb:mi> </bb:math> deviation from the Standard Model prediction. Our updates also include model-independent NP formulas for the related observables and the global fittings of parameters for leptoquark scenarios as well as single NP operator scenarios. Furthermore, we show future potential to indirectly distinguish different NP scenarios with the use of the precise measurements of the polarization observables in <db:math xmlns:db="http://www.w3.org/1998/Math/MathML" display="inline"> <db:mi>B</db:mi> <db:mo stretchy="false">→</db:mo> <db:msup> <db:mi>D</db:mi> <db:mrow> <db:mo stretchy="false">(</db:mo> <db:mo>*</db:mo> <db:mo stretchy="false">)</db:mo> </db:mrow> </db:msup> <db:mi>τ</db:mi> <db:mover accent="true"> <db:mi>ν</db:mi> <db:mo stretchy="false">¯</db:mo> </db:mover> </db:math> at the Belle II and the high- <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:msub> <kb:mi>p</kb:mi> <kb:mi mathvariant="normal">T</kb:mi> </kb:msub> </kb:math> flavored-tail searches at the LHC. We also discuss an impact on the LFU violation in <nb:math xmlns:nb="http://www.w3.org/1998/Math/MathML" display="inline"> <nb:mi mathvariant="normal">ϒ</nb:mi> <nb:mo stretchy="false">→</nb:mo> <nb:msup> <nb:mi>l</nb:mi> <nb:mo>+</nb:mo> </nb:msup> <nb:msup> <nb:mi>l</nb:mi> <nb:mo>−</nb:mo> </nb:msup> </nb:math> . Published by the American Physical Society 2024

Topics & Concepts