Charged Particles Multiplicity and Scaling Violation of Fragmentation Functions in Electron-Positron Annihilation

<div>The average of the squared transverse momentum in the event plane, <svg height="17.5262pt" id="M60" style="vertical-align:-5.934799pt" version="1.1" viewbox="-0.0498162 -11.5914 29.0985 17.5262" width="29.0985pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M360 -163L167 270L360 703H298L106 273V267L298 -163H360Z" id="g113-61"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="413" vert-adv-y="413"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,5.369,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" id="g113-81"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="617" 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id="g113-63"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="413" vert-adv-y="413"></glyph.data></g></svg>, and perpendicular to the event plane, <svg height="17.6077pt" id="M61" style="vertical-align:-6.0163pt" version="1.1" viewbox="-0.0498162 -11.5914 32.4716 17.6077" width="32.4716pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M360 -163L167 270L360 703H298L106 273V267L298 -163H360Z" id="g113-61"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="413" vert-adv-y="413"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,5.369,0)"><path d="M600 480C600 590 528 650 384 650H143L137 622C222 614 225 607 210 531L130 127C113 41 106 36 23 28L17 0H294L300 28C204 36 195 42 212 127L243 284L314 263C327 263 339 263 352 264C465 271 600 337 600 480ZM508 481C508 351 402 304 329 304C289 304 265 311 250 317L295 559C302 594 310 606 323 611C335 616 350 619 367 619C455 619 508 573 508 481Z" 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Advances in High Energy Physics

fig6

Figure 6

Figure 6: Charged Particles Multiplicity and Scaling Violation of Fragmentation Functions in Electron-Positron Annihilation 