Measurement of the e+e → π+π cross section between 600 and 900 MeV using initial state radiation
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We extract the mmlsi1" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315008990&_mathId=si1.gif&_user=111111111&_pii=S0370269315008990&_rdoc=1&_issn=03702693&md5=5f4df44c94811537ac03e01cd3f769bd" title="Click to view the MathML source">e+e&minus;→π+π&minus;mathContainer hidden">mathCode"><math altimg="si1.gif" overflow="scroll"><msup><mrow><mi>emi>mrow><mrow><mo>+mo>mrow>msup><msup><mrow><mi>emi>mrow><mrow><mo>&minus;mo>mrow>msup><mo stretchy="false">→mo><msup><mrow><mi>πmi>mrow><mrow><mo>+mo>mrow>msup><msup><mrow><mi>πmi>mrow><mrow><mo>&minus;mo>mrow>msup>math> cross section in the energy range between 600 and 900 MeV, exploiting the method of initial state radiation. A data set with an integrated luminosity of mmlsi2" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315008990&_mathId=si2.gif&_user=111111111&_pii=S0370269315008990&_rdoc=1&_issn=03702693&md5=473f199a82a72e0a610b03d5d6737c65" title="Click to view the MathML source">2.93 fb&minus;1mathContainer hidden">mathCode"><math altimg="si2.gif" overflow="scroll"><mn>2.93mn><mtext> mtext><msup><mrow><mtext>fbmtext>mrow><mrow><mo>&minus;mo><mn>1mn>mrow>msup>math> taken at a center-of-mass energy of 3.773 GeV with the BESIII detector at the BEPCII collider is used. The cross section is measured with a systematic uncertainty of 0.9%. We extract the pion form factor mmlsi114" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315008990&_mathId=si114.gif&_user=111111111&_pii=S0370269315008990&_rdoc=1&_issn=03702693&md5=f8143485976ee1aac233bacebbcefbb8" title="Click to view the MathML source">|Fπ|2mathContainer hidden">mathCode"><math altimg="si114.gif" overflow="scroll"><msup><mrow><mo stretchy="false">|mo><msub><mrow><mi>Fmi>mrow><mrow><mi>πmi>mrow>msub><mo stretchy="false">|mo>mrow><mrow><mn>2mn>mrow>msup>math> as well as the contribution of the measured cross section to the leading-order hadronic vacuum polarization contribution to mmlsi4" class="mathmlsrc">mulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315008990&_mathId=si4.gif&_user=111111111&_pii=S0370269315008990&_rdoc=1&_issn=03702693&md5=5ea7c9a9ccf043ce618c24cf6246470c" title="Click to view the MathML source">(g&minus;2)μmathContainer hidden">mathCode"><math altimg="si4.gif" overflow="scroll"><msub><mrow><mo stretchy="false">(mo><mi>gmi><mo>&minus;mo><mn>2mn><mo stretchy="false">)mo>mrow><mrow><mi>μmi>mrow>msub>math>. We find this value to be mmlsi5" class="mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269315008990&_mathId=si5.gif&_user=111111111&_pii=S0370269315008990&_rdoc=1&_issn=03702693&md5=2e10b9ce820ac804f84b8a11d869b90c">mg class="imgLazyJSB inlineImage" height="21" width="345" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0370269315008990-si5.gif">mathContainer hidden">mathCode"><math altimg="si5.gif" overflow="scroll"><msubsup><mrow><mi>ami>mrow><mrow><mi>μmi>mrow><mrow><mi>πmi><mi>πmi><mo>,mo><mrow><mi mathvariant="normal">LOmi>mrow>mrow>msubsup><mo stretchy="false">(mo><mn>600mn><mtext>–mtext><mn>900mn><mspace width="0.25em">mspace><mtext>MeVmtext><mo stretchy="false">)mo><mo>=mo><mo stretchy="false">(mo><mn>368.2mn><mo>&plusmn;mo><msub><mrow><mn>2.5mn>mrow><mrow><mi mathvariant="normal">statmi>mrow>msub><mo>&plusmn;mo><msub><mrow><mn>3.3mn>mrow><mrow><mi mathvariant="normal">sysmi>mrow>msub><mo stretchy="false">)mo><mo>⋅mo><msup><mrow><mn>10mn>mrow><mrow><mo>&minus;mo><mn>10mn>mrow>msup>math>, which is between the corresponding values using the BaBar or KLOE data.

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