Search for a hypothetical gauge boson and dark photons in charmonium transitions

We report a direct search for a new gauge boson, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>X</a:mi> </a:math> , with a mass of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mn>17</c:mn> <c:mtext> </c:mtext> <c:mtext> </c:mtext> <c:mi>MeV</c:mi> <c:mo>/</c:mo> <c:msup> <c:mi>c</c:mi> <c:mn>2</c:mn> </c:msup> </c:math> , which could explain the anomalous excess of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>e</e:mi> <e:mo>+</e:mo> </e:msup> <e:msup> <e:mi>e</e:mi> <e:mo>−</e:mo> </e:msup> </e:math> pairs observed in the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mrow> <g:mmultiscripts> <g:mrow> <g:mi>Be</g:mi> </g:mrow> <g:mprescripts/> <g:none/> <g:mrow> <g:mn>8</g:mn> </g:mrow> </g:mmultiscripts> </g:mrow> </g:math> nuclear transitions. The search is conducted in the charmonium decays <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>χ</i:mi> <i:mrow> <i:mi>c</i:mi> <i:mi>J</i:mi> </i:mrow> </i:msub> <i:mo stretchy="false">→</i:mo> <i:mi>X</i:mi> <i:mi>J</i:mi> <i:mo>/</i:mo> <i:mi>ψ</i:mi> <i:mo stretchy="false">(</i:mo> <i:mi>J</i:mi> <i:mo>=</i:mo> <i:mn>0</i:mn> <i:mo>,</i:mo> <i:mn>1</i:mn> <i:mo>,</i:mo> <i:mn>2</i:mn> <i:mo stretchy="false">)</i:mo> </i:math> via the radiative transition <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:mi>ψ</n:mi> <n:mo stretchy="false">(</n:mo> <n:mn>3686</n:mn> <n:mo stretchy="false">)</n:mo> <n:mo stretchy="false">→</n:mo> <n:mi>γ</n:mi> <n:msub> <n:mi>χ</n:mi> <n:mrow> <n:mi>c</n:mi> <n:mi>J</n:mi> </n:mrow> </n:msub> </n:math> using <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:mrow> <s:mo stretchy="false">(</s:mo> <s:mn>2712.4</s:mn> <s:mo>±</s:mo> <s:mn>14.3</s:mn> <s:mo stretchy="false">)</s:mo> </s:mrow> <s:mo>×</s:mo> <s:msup> <s:mn>10</s:mn> <s:mn>6</s:mn> </s:msup> <s:mtext> </s:mtext> <s:mtext> </s:mtext> <s:mi>ψ</s:mi> <s:mo stretchy="false">(</s:mo> <s:mn>3686</s:mn> <s:mo stretchy="false">)</s:mo> </s:math> events collected with the BESIII detector at the BEPCII collider. No significant signal is observed, and the updated upper limit on the coupling strength of charm quark and the new gauge boson, <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:msub> <y:mi>ε</y:mi> <y:mi>c</y:mi> </y:msub> </y:math> , is set to be <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:mo stretchy="false">|</ab:mo> <ab:msub> <ab:mi>ε</ab:mi> <ab:mi>c</ab:mi> </ab:msub> <ab:mo stretchy="false">|</ab:mo> <ab:mo>&lt;</ab:mo> <ab:mn>1.2</ab:mn> <ab:mo>×</ab:mo> <ab:msup> <ab:mn>10</ab:mn> <ab:mrow> <ab:mo>−</ab:mo> <ab:mn>2</ab:mn> </ab:mrow> </ab:msup> </ab:math> at 90% confidence level. We also report new constraints on the mixing strength <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:mi>ε</eb:mi> </eb:math> between the Standard Model photon and dark photon <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:msup> <gb:mi>γ</gb:mi> <gb:mo>′</gb:mo> </gb:msup> </gb:math> in the mass range from 5 to <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mn>300</ib:mn> <ib:mtext> </ib:mtext> <ib:mtext> </ib:mtext> <ib:mi>MeV</ib:mi> <ib:mo>/</ib:mo> <ib:msup> <ib:mi>c</ib:mi> <ib:mn>2</ib:mn> </ib:msup> </ib:math> . The upper limits at 90% confidence level vary within <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mrow> <kb:mo stretchy="false">(</kb:mo> <kb:mn>2.5</kb:mn> <kb:mi>–</kb:mi> <kb:mn>17.5</kb:mn> <kb:mo stretchy="false">)</kb:mo> <kb:mo>×</kb:mo> <kb:msup> <kb:mrow> <kb:mn>10</kb:mn> </kb:mrow> <kb:mrow> <kb:mo>−</kb:mo> <kb:mn>3</kb:mn> </kb:mrow> </kb:msup> </kb:mrow> </kb:math> depending on the <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msup> <ob:mi>γ</ob:mi> <ob:mo>′</ob:mo> </ob:msup> </ob:math> mass.

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Physical review. D/Physical review. D.
Published
2026-01-20
DOI
https://doi.org/10.1103/76js-7s9f
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Dark Matter and Cosmic Phenomena
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article
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article

Search for a hypothetical gauge boson and dark photons in charmonium transitions

Z. P. Yao, F. Stieler, Q. M. Li, I. Boyko et al.
Physical review. D/Physical review. D.
Dark Matter and Cosmic Phenomena
article

Search for a hypothetical gauge boson and dark photons in charmonium transitions

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Abstract

We report a direct search for a new gauge boson, <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:mi>X</a:mi> </a:math> , with a mass of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"> <c:mn>17</c:mn> <c:mtext> </c:mtext> <c:mtext> </c:mtext> <c:mi>MeV</c:mi> <c:mo>/</c:mo> <c:msup> <c:mi>c</c:mi> <c:mn>2</c:mn> </c:msup> </c:math> , which could explain the anomalous excess of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"> <e:msup> <e:mi>e</e:mi> <e:mo>+</e:mo> </e:msup> <e:msup> <e:mi>e</e:mi> <e:mo>−</e:mo> </e:msup> </e:math> pairs observed in the <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"> <g:mrow> <g:mmultiscripts> <g:mrow> <g:mi>Be</g:mi> </g:mrow> <g:mprescripts/> <g:none/> <g:mrow> <g:mn>8</g:mn> </g:mrow> </g:mmultiscripts> </g:mrow> </g:math> nuclear transitions. The search is conducted in the charmonium decays <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"> <i:msub> <i:mi>χ</i:mi> <i:mrow> <i:mi>c</i:mi> <i:mi>J</i:mi> </i:mrow> </i:msub> <i:mo stretchy="false">→</i:mo> <i:mi>X</i:mi> <i:mi>J</i:mi> <i:mo>/</i:mo> <i:mi>ψ</i:mi> <i:mo stretchy="false">(</i:mo> <i:mi>J</i:mi> <i:mo>=</i:mo> <i:mn>0</i:mn> <i:mo>,</i:mo> <i:mn>1</i:mn> <i:mo>,</i:mo> <i:mn>2</i:mn> <i:mo stretchy="false">)</i:mo> </i:math> via the radiative transition <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:mi>ψ</n:mi> <n:mo stretchy="false">(</n:mo> <n:mn>3686</n:mn> <n:mo stretchy="false">)</n:mo> <n:mo stretchy="false">→</n:mo> <n:mi>γ</n:mi> <n:msub> <n:mi>χ</n:mi> <n:mrow> <n:mi>c</n:mi> <n:mi>J</n:mi> </n:mrow> </n:msub> </n:math> using <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" display="inline"> <s:mrow> <s:mo stretchy="false">(</s:mo> <s:mn>2712.4</s:mn> <s:mo>±</s:mo> <s:mn>14.3</s:mn> <s:mo stretchy="false">)</s:mo> </s:mrow> <s:mo>×</s:mo> <s:msup> <s:mn>10</s:mn> <s:mn>6</s:mn> </s:msup> <s:mtext> </s:mtext> <s:mtext> </s:mtext> <s:mi>ψ</s:mi> <s:mo stretchy="false">(</s:mo> <s:mn>3686</s:mn> <s:mo stretchy="false">)</s:mo> </s:math> events collected with the BESIII detector at the BEPCII collider. No significant signal is observed, and the updated upper limit on the coupling strength of charm quark and the new gauge boson, <y:math xmlns:y="http://www.w3.org/1998/Math/MathML" display="inline"> <y:msub> <y:mi>ε</y:mi> <y:mi>c</y:mi> </y:msub> </y:math> , is set to be <ab:math xmlns:ab="http://www.w3.org/1998/Math/MathML" display="inline"> <ab:mo stretchy="false">|</ab:mo> <ab:msub> <ab:mi>ε</ab:mi> <ab:mi>c</ab:mi> </ab:msub> <ab:mo stretchy="false">|</ab:mo> <ab:mo>&lt;</ab:mo> <ab:mn>1.2</ab:mn> <ab:mo>×</ab:mo> <ab:msup> <ab:mn>10</ab:mn> <ab:mrow> <ab:mo>−</ab:mo> <ab:mn>2</ab:mn> </ab:mrow> </ab:msup> </ab:math> at 90% confidence level. We also report new constraints on the mixing strength <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:mi>ε</eb:mi> </eb:math> between the Standard Model photon and dark photon <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:msup> <gb:mi>γ</gb:mi> <gb:mo>′</gb:mo> </gb:msup> </gb:math> in the mass range from 5 to <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:mn>300</ib:mn> <ib:mtext> </ib:mtext> <ib:mtext> </ib:mtext> <ib:mi>MeV</ib:mi> <ib:mo>/</ib:mo> <ib:msup> <ib:mi>c</ib:mi> <ib:mn>2</ib:mn> </ib:msup> </ib:math> . The upper limits at 90% confidence level vary within <kb:math xmlns:kb="http://www.w3.org/1998/Math/MathML" display="inline"> <kb:mrow> <kb:mo stretchy="false">(</kb:mo> <kb:mn>2.5</kb:mn> <kb:mi>–</kb:mi> <kb:mn>17.5</kb:mn> <kb:mo stretchy="false">)</kb:mo> <kb:mo>×</kb:mo> <kb:msup> <kb:mrow> <kb:mn>10</kb:mn> </kb:mrow> <kb:mrow> <kb:mo>−</kb:mo> <kb:mn>3</kb:mn> </kb:mrow> </kb:msup> </kb:mrow> </kb:math> depending on the <ob:math xmlns:ob="http://www.w3.org/1998/Math/MathML" display="inline"> <ob:msup> <ob:mi>γ</ob:mi> <ob:mo>′</ob:mo> </ob:msup> </ob:math> mass.

Physical review. D/Physical review. D.Vol. 113(3)
University of Science and Technology Liaoning (CN), Liaoning University (CN), Università degli Studi del Piemonte Orientale “Amedeo Avogadro” (IT), Uppsala University (SE), University of Science and Technology of China (CN), University of Hawaii System (US), Mongolian Academy of Sciences (MN), Central South University (CN), Hengyang Normal University (CN), Guangxi University (CN), Nanjing Normal University (CN), Liaoning Normal University (CN), North China Electric Power University (CN), Shandong University (CN), COMSATS University Islamabad (PK), Hangzhou Normal University (CN), Hunan University (CN), Henan University of Science and Technology (CN), University of Groningen (NL), GSI Helmholtz Centre for Heavy Ion Research (DE), University of the Punjab (PK), Hunan Normal University (CN), Henan University (CN), Shanghai Jiao Tong University (CN), Yantai University (CN), University of Tarapacá (CL), Guangxi University of Science and Technology (CN), South China Normal University (CN), Yunnan University (CN), Jilin University (CN), Johannes Gutenberg University Mainz (DE), Justus-Liebig-Universität Gießen (DE), University of Ferrara (IT), Qufu Normal University (CN), Peking University (CN), Nankai University (CN), University of Münster (DE), Sichuan University (CN), Fudan University (CN), Inner Mongolia University (CN), University of Perugia (IT), Shandong Normal University (CN), University of Manchester (GB), Guangxi Normal University (CN), China University of Geosciences (CN), Huangshan University (CN), Joint Institute for Nuclear Research (RU), University of Jinan (CN), Henan University of Technology (CN), University of Bristol (GB), Wuhan University (CN), Zhengzhou University (CN), University of Oxford (GB), Central China Normal University (CN), National Centre for Nuclear Research (PL), Istituto Nazionale di Fisica Nucleare, Sezione di Ferrara (IT), Helmholtz Institute Mainz (DE), Istinye University (TR), Institute of Modern Physics (CN), Jilin Medical University (CN), Shanxi University of Traditional Chinese Medicine (CN), Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati (IT), Piedmont University (US), University of Chinese Academy of Sciences (CN), Hebei University (CN), Budker Institute of Nuclear Physics (RU), China Center of Advanced Science and Technology (CN), University of Turin (IT), Indiana University (US), Chung-Ang University (KR), Near East University (CY), Carnegie Mellon University (US), Henan Normal University (CN), Zhejiang University (CN), Lanzhou University (CN), Renmin University of China (CN), Suranaree University of Technology (TH), Beihang University (CN), Nanjing University (CN), Ruhr University Bochum (DE), University of South China (CN), Shanxi Normal University (CN), Tsinghua University (CN)
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Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.