Measurement of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msup> <mml:mo stretchy="false">→</mml:mo> <m

We present a study of the rare charm meson decays <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"> <a:msup> <a:mi>D</a:mi> <a:mn>0</a:mn> </a:msup> <a:mo stretchy="false">→</a:mo> <a:mrow> <a:msup> <a:mi>K</a:mi> <a:mo>+</a:mo> </a:msup> <a:msup> <a:mi>K</a:mi> <a:mo>−</a:mo> </a:msup> <a:msup> <a:mi>e</a:mi> <a:mo>+</a:mo> </a:msup> <a:msup> <a:mi>e</a:mi> <a:mo>−</a:mo> </a:msup> </a:mrow> </a:math> , <d:math xmlns:d="http://www.w3.org/1998/Math/MathML" display="inline"> <d:msup> <d:mi>π</d:mi> <d:mo>+</d:mo> </d:msup> <d:msup> <d:mi>π</d:mi> <d:mo>−</d:mo> </d:msup> <d:msup> <d:mi>e</d:mi> <d:mo>+</d:mo> </d:msup> <d:msup> <d:mi>e</d:mi> <d:mo>−</d:mo> </d:msup> </d:math> , and <f:math xmlns:f="http://www.w3.org/1998/Math/MathML" display="inline"> <f:msup> <f:mi>K</f:mi> <f:mo>−</f:mo> </f:msup> <f:msup> <f:mi>π</f:mi> <f:mo>+</f:mo> </f:msup> <f:msup> <f:mi>e</f:mi> <f:mo>+</f:mo> </f:msup> <f:msup> <f:mi>e</f:mi> <f:mo>−</f:mo> </f:msup> </f:math> using a <h:math xmlns:h="http://www.w3.org/1998/Math/MathML" display="inline"> <h:mn>942</h:mn> <h:mtext> </h:mtext> <h:mtext> </h:mtext> <h:msup> <h:mi>fb</h:mi> <h:mrow> <h:mo>−</h:mo> <h:mn>1</h:mn> </h:mrow> </h:msup> </h:math> dataset collected by the Belle detector at the KEKB asymmetric-energy <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" display="inline"> <j:msup> <j:mi>e</j:mi> <j:mo>+</j:mo> </j:msup> <j:msup> <j:mi>e</j:mi> <j:mo>−</j:mo> </j:msup> </j:math> collider. We identify <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" display="inline"> <l:msup> <l:mi>D</l:mi> <l:mn>0</l:mn> </l:msup> </l:math> candidates via the charge of the pion from <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" display="inline"> <n:msup> <n:mi>D</n:mi> <n:mrow> <n:mo>*</n:mo> <n:mo>+</n:mo> </n:mrow> </n:msup> <n:mo stretchy="false">→</n:mo> <n:msup> <n:mi>D</n:mi> <n:mn>0</n:mn> </n:msup> <n:msup> <n:mi>π</n:mi> <n:mo>+</n:mo> </n:msup> </n:math> decays and normalize the branching fractions to <q:math xmlns:q="http://www.w3.org/1998/Math/MathML" display="inline"> <q:msup> <q:mi>D</q:mi> <q:mn>0</q:mn> </q:msup> <q:mo stretchy="false">→</q:mo> <q:msup> <q:mi>K</q:mi> <q:mo>−</q:mo> </q:msup> <q:msup> <q:mi>π</q:mi> <q:mo>+</q:mo> </q:msup> <q:msup> <q:mi>π</q:mi> <q:mo>−</q:mo> </q:msup> <q:msup> <q:mi>π</q:mi> <q:mo>+</q:mo> </q:msup> </q:math> decays. The branching fraction for decay <t:math xmlns:t="http://www.w3.org/1998/Math/MathML" display="inline"> <t:msup> <t:mi>D</t:mi> <t:mn>0</t:mn> </t:msup> <t:mo stretchy="false">→</t:mo> <t:msup> <t:mi>K</t:mi> <t:mo>−</t:mo> </t:msup> <t:msup> <t:mi>π</t:mi> <t:mo>+</t:mo> </t:msup> <t:msup> <t:mi>e</t:mi> <t:mo>+</t:mo> </t:msup> <t:msup> <t:mi>e</t:mi> <t:mo>−</t:mo> </t:msup> </t:math> is measured to be <w:math xmlns:w="http://www.w3.org/1998/Math/MathML" display="inline"> <w:mrow> <w:mo stretchy="false">(</w:mo> <w:mn>39.6</w:mn> <w:mo>±</w:mo> <w:mn>4.5</w:mn> <w:mtext> </w:mtext> <w:mo stretchy="false">(</w:mo> <w:mi>stat</w:mi> <w:mo stretchy="false">)</w:mo> <w:mo>±</w:mo> <w:mn>2.9</w:mn> <w:mtext> </w:mtext> <w:mo stretchy="false">(</w:mo> <w:mi>syst</w:mi> <w:mo stretchy="false">)</w:mo> <w:mo stretchy="false">)</w:mo> <w:mo>×</w:mo> <w:msup> <w:mrow> <w:mn>10</w:mn> </w:mrow> <w:mrow> <w:mo>−</w:mo> <w:mn>7</w:mn> </w:mrow> </w:msup> </w:mrow> </w:math> , with the dielectron mass in the <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" display="inline"> <eb:mi>ρ</eb:mi> <eb:mo>/</eb:mo> <eb:mi>ω</eb:mi> </eb:math> mass region <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" display="inline"> <gb:mn>675</gb:mn> <gb:mo><</gb:mo> <gb:msub> <gb:mi>m</gb:mi> <gb:mrow> <gb:mi>e</gb:mi> <gb:mi>e</gb:mi> </gb:mrow> </gb:msub> <gb:mo><</gb:mo> <gb:mn>875</gb:mn> <gb:mtext> </gb:mtext> <gb:mtext> </gb:mtext> <gb:mrow> <gb:mrow> <gb:mi>MeV</gb:mi> <gb:mo>/</gb:mo> </gb:mrow> <gb:msup> <gb:mi>c</gb:mi> <gb:mn>2</gb:mn> </gb:msup> </gb:mrow> </gb:math> . We also search for <ib:math xmlns:ib="http://www.w3.org/1998/Math/MathML" display="inline"> <ib:msup> <ib:mi>D</ib:mi> <ib:mn>0</ib:mn> </ib:msup> <ib:mo stretchy="false">→</ib:mo> <ib:msup> <ib:mi>h</ib:mi> <ib:mo>−</ib:mo> </ib:msup> <ib:msup> <ib:mi>h</ib:mi> <ib:mrow> <ib:mo stretchy="false">(</ib:mo> <ib:mo>′</ib:mo> <ib:mo stretchy="false">)</ib:mo> <ib:mo>+</ib:mo> </ib:mrow> </ib:msup> <

Authors

K. Ravindran (ORCID: https://orcid.org/0000-0002-5584-2614)
J. Schmitz (ORCID: https://orcid.org/0000-0001-8274-8124)
E.-J. Jang (ORCID: https://orcid.org/0000-0002-1935-9887)
T. Lam (ORCID: https://orcid.org/0000-0001-9128-6806)
K. Kinoshita (ORCID: https://orcid.org/0000-0001-7175-4182)
H. Atmacan (ORCID: https://orcid.org/0000-0003-2435-501X)
S. Bansal (ORCID: https://orcid.org/0000-0003-1992-0336)
C. Cecchi (ORCID: https://orcid.org/0000-0002-2192-8233)
T. E. Browder (ORCID: https://orcid.org/0000-0001-7357-9007)
E. Wang (ORCID: https://orcid.org/0000-0001-6391-5118)
S. P. Maharana (ORCID: https://orcid.org/0000-0002-1746-4683)
P. Ecker (ORCID: https://orcid.org/0000-0002-6817-6868)
S. Pardi (ORCID: https://orcid.org/0000-0001-7994-0537)
Y. Onuki (ORCID: https://orcid.org/0000-0002-1646-6847)
G. Dujany (ORCID: https://orcid.org/0000-0002-1345-8163)
Z. Gruberová (ORCID: https://orcid.org/0000-0002-5691-1044)
S.-J. Cho (ORCID: https://orcid.org/0000-0002-1673-5664)
Y. Sato (ORCID: https://orcid.org/0000-0003-3751-2803)
R. Leboucher (ORCID: https://orcid.org/0000-0003-3097-6613)
C. H. Kim (ORCID: https://orcid.org/0000-0002-5743-7698)
P. Lewis (ORCID: https://orcid.org/0000-0002-5991-622X)
S. Pokharel (ORCID: https://orcid.org/0000-0002-3367-738X)
D. Ricalde Herrmann (ORCID: https://orcid.org/0000-0001-9772-9989)
M. Alhakami (ORCID: https://orcid.org/0000-0002-2234-8628)
M. Bartl
P. Chang (ORCID: https://orcid.org/0000-0003-4064-388X)
C. Li (ORCID: https://orcid.org/0000-0002-3240-4523)
S. Longo (ORCID: https://orcid.org/0000-0002-8124-8969)
S. X. Li (ORCID: https://orcid.org/0000-0003-4669-1495)
K. Lautenbach (ORCID: https://orcid.org/0000-0003-3762-694X)
J. S. Lange (ORCID: https://orcid.org/0000-0003-0234-0474)
A. Thaller (ORCID: https://orcid.org/0000-0003-4171-6219)
M. Garcia-Hernandez (ORCID: https://orcid.org/0000-0003-2393-3367)
C. Schwanda (ORCID: https://orcid.org/0000-0003-4844-5028)
T. Iijima (ORCID: https://orcid.org/0000-0002-4271-711X)
W. C. Yan (ORCID: https://orcid.org/0000-0001-6721-9435)
G. Mancinelli (ORCID: https://orcid.org/0000-0003-1144-3678)
D. Epifanov (ORCID: https://orcid.org/0000-0001-8656-2693)
R. Volpe (ORCID: https://orcid.org/0000-0003-1782-2978)
J. Libby (ORCID: https://orcid.org/0000-0002-1219-3247)
S. Marcello (ORCID: https://orcid.org/0000-0003-4144-863X)
M. Maggiora (ORCID: https://orcid.org/0000-0003-4143-9127)
K. Kumara (ORCID: https://orcid.org/0000-0003-1572-5365)
G. Gaudino (ORCID: https://orcid.org/0000-0001-5983-1552)
M. Neu (ORCID: https://orcid.org/0000-0002-4564-8009)
R. Mizuk (ORCID: https://orcid.org/0000-0002-2209-6969)
D. Marcantonio (ORCID: https://orcid.org/0000-0002-1315-8646)
Y.-J. Kwon (ORCID: https://orcid.org/0000-0001-9448-5691)
Y. B. Li (ORCID: https://orcid.org/0000-0002-9909-2851)
S. Patra (ORCID: https://orcid.org/0000-0002-4114-1091)
C. Niebuhr (ORCID: https://orcid.org/0000-0002-4375-9741)
S. A. Al‐Ghamdi (ORCID: https://orcid.org/0000-0001-7609-112X)
K. Parham (ORCID: https://orcid.org/0000-0001-9556-2433)
M. Watanabe (ORCID: https://orcid.org/0000-0001-6917-6694)
N. K. Baghel (ORCID: https://orcid.org/0009-0008-7806-4422)
H. Ghumaryan (ORCID: https://orcid.org/0000-0001-6775-8893)
Н. Акопов (ORCID: https://orcid.org/0000-0002-4425-2096)
S.-H. Park (ORCID: https://orcid.org/0000-0001-6019-6218)
Y. Han (ORCID: https://orcid.org/0000-0001-6775-5932)
H. Bae (ORCID: https://orcid.org/0000-0003-1393-8631)
Y. Nakazawa (ORCID: https://orcid.org/0000-0002-6271-5808)
S. Paul (ORCID: https://orcid.org/0000-0002-8813-0437)
M. E. Sevior (ORCID: https://orcid.org/0000-0002-4824-101X)
J. Kandra (ORCID: https://orcid.org/0000-0001-5635-1000)
B. Paschen (ORCID: https://orcid.org/0000-0003-1546-4548)
A. Ishikawa (ORCID: https://orcid.org/0000-0002-3561-5633)
Shoichi Watanuki (ORCID: https://orcid.org/0000-0002-5241-6628)
Y. Jin (ORCID: https://orcid.org/0000-0002-7323-0830)
T. Higuchi (ORCID: https://orcid.org/0000-0002-7761-3505)
B. Wach (ORCID: https://orcid.org/0000-0003-3533-7669)
W. M. Song (ORCID: https://orcid.org/0000-0003-1376-2293)
E. Graziani (ORCID: https://orcid.org/0000-0001-8602-5652)
J. V. Bennett (ORCID: https://orcid.org/0000-0002-5440-2668)
H. Svidras (ORCID: https://orcid.org/0000-0003-4198-2517)
A. Sokolov (ORCID: https://orcid.org/0000-0002-9420-0091)
G. Sharma (ORCID: https://orcid.org/0000-0002-5620-5334)
A. Soffer
M. Eliachevitch (ORCID: https://orcid.org/0000-0003-2033-537X)
S. Moneta (ORCID: https://orcid.org/0000-0003-2184-7510)
S. Hazra (ORCID: https://orcid.org/0000-0001-6954-9593)
F. Otani (ORCID: https://orcid.org/0000-0001-6016-219X)
G. Raeuber (ORCID: https://orcid.org/0000-0003-2948-5155)
B. G. Cheon (ORCID: https://orcid.org/0000-0002-8803-4429)
M. Starič (ORCID: https://orcid.org/0000-0001-8751-5944)
S. Maity (ORCID: https://orcid.org/0000-0003-3076-9243)
K. Chirapatpimol (ORCID: https://orcid.org/0000-0003-2099-7760)
E. R. Oxford (ORCID: https://orcid.org/0000-0002-0813-4578)
S. Halder (ORCID: https://orcid.org/0000-0002-6280-494X)
C. Sharma (ORCID: https://orcid.org/0000-0002-1312-0429)
C. Ketter (ORCID: https://orcid.org/0000-0002-5161-9722)
J. B. Singh (ORCID: https://orcid.org/0000-0001-9029-2462)
C. Harris (ORCID: https://orcid.org/0000-0003-0448-4244)
H. Aihara (ORCID: https://orcid.org/0000-0002-1907-5964)
C. Lyu (ORCID: https://orcid.org/0000-0002-2275-0473)
J. X. Cui (ORCID: https://orcid.org/0000-0002-2398-3754)
S. A. De La Motte (ORCID: https://orcid.org/0000-0003-3905-6805)
V. S. Vismaya (ORCID: https://orcid.org/0000-0002-1606-5349)
M. Masuda (ORCID: https://orcid.org/0000-0002-7109-5583)
Y. Seino (ORCID: https://orcid.org/0000-0002-8378-4255)
P. Cheema (ORCID: https://orcid.org/0000-0001-8472-5727)
H. Miyake (ORCID: https://orcid.org/0000-0002-7079-8236)
Z. Wang (ORCID: https://orcid.org/0000-0002-3536-4950)
A. Beaubien (ORCID: https://orcid.org/0000-0001-9438-089X)
R. Peschke (ORCID: https://orcid.org/0000-0002-2529-8515)
B. Shwartz (ORCID: https://orcid.org/0000-0002-1456-1496)
M. Röhrken (ORCID: https://orcid.org/0000-0003-0654-2866)
A. Natochii (ORCID: https://orcid.org/0000-0002-1076-814X)
U. Tamponi (ORCID: https://orcid.org/0000-0001-6651-0706)
S. Yamada (ORCID: https://orcid.org/0000-0002-8858-9336)
L. Aggarwal (ORCID: https://orcid.org/0000-0002-0909-7537)
Jürgen Becker (ORCID: https://orcid.org/0000-0002-5082-5487)
S. Bussino (ORCID: https://orcid.org/0000-0002-3829-9592)
A. Baur (ORCID: https://orcid.org/0000-0003-1360-3292)
T. Martinov (ORCID: https://orcid.org/0000-0001-7846-1913)
T. Kuhr (ORCID: https://orcid.org/0000-0001-6251-8049)
T. K. Pedlar (ORCID: https://orcid.org/0000-0001-9839-7373)
S. Mondal (ORCID: https://orcid.org/0000-0002-3054-8400)
F. Keil (ORCID: https://orcid.org/0000-0002-7278-2860)
S. Mitra (ORCID: https://orcid.org/0000-0002-1118-6344)
T. Bilka (ORCID: https://orcid.org/0000-0003-1449-6986)
M. Sobotzik (ORCID: https://orcid.org/0000-0002-1773-5455)
S. Stefkova (ORCID: https://orcid.org/0000-0003-2628-530X)
S. Korpar (ORCID: https://orcid.org/0000-0003-0971-0968)
V. Zhukova (ORCID: https://orcid.org/0000-0002-8253-641X)
R. Itoh (ORCID: https://orcid.org/0000-0003-1590-0266)
C. Praz (ORCID: https://orcid.org/0000-0002-6154-885X)
M. Mirra (ORCID: https://orcid.org/0000-0002-1190-2961)
C. Sfienti
M. Niiyama (ORCID: https://orcid.org/0000-0003-1746-586X)
K. Miyabayashi (ORCID: https://orcid.org/0000-0003-4352-734X)
P. Kodyš (ORCID: https://orcid.org/0000-0002-8644-2349)
J. Lin (ORCID: https://orcid.org/0000-0002-3653-2899)
Q. Y. Liu (ORCID: https://orcid.org/0000-0002-7684-0415)
E. Ganiev (ORCID: https://orcid.org/0000-0001-8346-8597)
P. L. M. Podesta-Lerma (ORCID: https://orcid.org/0000-0002-8152-9605)
A. Selce (ORCID: https://orcid.org/0000-0001-8228-9781)
H. Ono (ORCID: https://orcid.org/0000-0003-4486-0064)
F. Di Capua (ORCID: https://orcid.org/0000-0001-9076-5936)
J. Park (ORCID: https://orcid.org/0000-0001-6520-0028)
J. Borah (ORCID: https://orcid.org/0000-0003-2990-1913)
M. Uchida (ORCID: https://orcid.org/0000-0003-4904-6168)
S. Kohani (ORCID: https://orcid.org/0000-0003-3869-6552)
H. Kindo (ORCID: https://orcid.org/0000-0002-6756-3591)
A. Di Canto (ORCID: https://orcid.org/0000-0003-1233-3876)
Y. Liu (ORCID: https://orcid.org/0000-0002-8374-3947)
K. Park (ORCID: https://orcid.org/0000-0003-0567-3493)
J. A. McKenna (ORCID: https://orcid.org/0000-0001-9871-9002)
T. Kunigo (ORCID: https://orcid.org/0000-0001-9613-2849)
A. Lozar (ORCID: https://orcid.org/0000-0002-0569-6882)
A. Frey (ORCID: https://orcid.org/0000-0001-7470-3874)
A. Sibidanov (ORCID: https://orcid.org/0000-0001-8805-4895)
Y.-K. Kim (ORCID: https://orcid.org/0000-0002-9695-8103)
J. Baudot (ORCID: https://orcid.org/0000-0001-5585-0991)
A. Vossen (ORCID: https://orcid.org/0000-0003-0983-4936)
S. Wallner (ORCID: https://orcid.org/0000-0002-9105-1625)
S. Sandilya (ORCID: https://orcid.org/0000-0002-4199-4369)
F. Simon (ORCID: https://orcid.org/0000-0002-5978-0289)
G. Karyan (ORCID: https://orcid.org/0000-0001-5365-3716)
A. Glazov (ORCID: https://orcid.org/0000-0002-8553-7338)
J. Cerasoli (ORCID: https://orcid.org/0000-0001-9777-881X)
R. Maiti (ORCID: https://orcid.org/0000-0001-5534-7149)
V. Bertacchi (ORCID: https://orcid.org/0000-0001-9971-1176)
D. Y. Kim (ORCID: https://orcid.org/0000-0001-8125-9070)
K. Hayasaka (ORCID: https://orcid.org/0000-0002-6347-433X)
Y. Kulii (ORCID: https://orcid.org/0000-0001-6217-5162)
E. Solovieva (ORCID: https://orcid.org/0000-0002-5735-4059)
R. Mussa (ORCID: https://orcid.org/0000-0002-0294-9071)
S. Kang (ORCID: https://orcid.org/0000-0002-5320-7043)
D. Greenwald (ORCID: https://orcid.org/0000-0001-6964-8399)
R. Manfredi (ORCID: https://orcid.org/0000-0002-8552-6276)
C. Wessel (ORCID: https://orcid.org/0000-0003-0959-4784)
G. De Pietro (ORCID: https://orcid.org/0000-0001-8442-107X)
C. Finck (ORCID: https://orcid.org/0000-0002-5068-5453)
N. Brenny (ORCID: https://orcid.org/0009-0006-2917-9173)
P. Branchini (ORCID: https://orcid.org/0000-0002-2270-9673)
M. Aversano (ORCID: https://orcid.org/0000-0001-9980-0953)
Q. Zhou (ORCID: https://orcid.org/0000-0001-5968-6359)
H. Junkerkalefeld (ORCID: https://orcid.org/0000-0003-3987-9895)
S. Jia (ORCID: https://orcid.org/0000-0001-8176-8545)
F. Le Diberder (ORCID: https://orcid.org/0009-0008-5394-5100)
M.-Z. Wang (ORCID: https://orcid.org/0000-0002-0979-8341)
V. Babu (ORCID: https://orcid.org/0000-0003-0419-6912)
T. Podobnik (ORCID: https://orcid.org/0000-0002-6131-819X)
V. Aushev (ORCID: https://orcid.org/0000-0002-8588-5308)
Y. Guan (ORCID: https://orcid.org/0000-0002-5541-2278)
M. J. Lee (ORCID: https://orcid.org/0000-0003-4528-4601)
T. Lueck (ORCID: https://orcid.org/0000-0003-3915-2506)
M. Bessner (ORCID: https://orcid.org/0000-0003-1776-0439)
A. Korobov (ORCID: https://orcid.org/0000-0001-5959-8172)
R. Mehta (ORCID: https://orcid.org/0000-0001-8670-3409)
P. Pakhlov (ORCID: https://orcid.org/0000-0001-7426-4824)
Z. Liptak (ORCID: https://orcid.org/0000-0002-6491-8131)
D. Liventsev (ORCID: https://orcid.org/0000-0003-3416-0056)
A. B. Kaliyar (ORCID: https://orcid.org/0000-0002-2211-619X)
P. Gironella Gironell (ORCID: https://orcid.org/0000-0001-5603-4750)
M. Remnev (ORCID: https://orcid.org/0000-0001-6975-1724)
A. Prakash (ORCID: https://orcid.org/0000-0002-6462-8142)
P. Goldenzweig (ORCID: https://orcid.org/0000-0001-8785-847X)
A. Martini (ORCID: https://orcid.org/0000-0003-1161-4983)
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Publication Details

Journal: Physical review. D/Physical review. D.
Published: 2025-09-27
DOI: https://doi.org/10.1103/mkx8-cl23
Primary Topic: Quantum Chromodynamics and Particle Interactions
Type: article
Field-Weighted Citation Impact: 0.00

Measurement of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msup> <mml:mo stretchy="false">→</mml:mo> <m

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Measurement of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msup> <mml:mo stretchy="false">→</mml:mo> <m

Measurement of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>D</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msup> <mml:mo stretchy="false">→</mml:mo> <m

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