We
present
measure
ments of the elli
ptic (
pan id="mmlsi2" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si2.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=9ca06101309bad52b1ff201bcbd21958" title="Click to view the MathML source">v2pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si2.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>2mn>mrow>msub>math>pan>pan>pan>), triangular (
pan id="mmlsi3" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si3.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=4285627d45ccdda4c0d45ff7ed4a256b" title="Click to view the MathML source">v3pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si3.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>3mn>mrow>msub>math>pan>pan>pan>) and quadrangular (
pan id="mmlsi4" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si4.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=afabd775fa7380dd028f231d672a093d" title="Click to view the MathML source">v4pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si4.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>4mn>mrow>msub>math>pan>pan>pan>) anisotro
pic azi
muthal flow over a wide range of
pseudora
pidities (
pan id="mmlsi5" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si5.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=8a85b44dae8fb199e19945be549092d8" title="Click to view the MathML source">−3.5<η<5pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si5.gif" overflow="scroll"><mo>−mo><mn>3.5mn><mo><mo><mi>ηmi><mo><mo><mn>5mn>math>pan>pan>pan>). The
measure
ments are
perfor
med with Pb–Pb collisions at
pan id="mmlsi1" class="mathmlsrc">mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si1.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=d8ce3f723832d73f2f75919ffd39233c">mg class="imgLazyJSB inlineImage" height="15" width="105" alt="View the MathML source" style="margin-top: -5px; vertical-align: middle" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0370269316303586-si1.gif">pt>mg height="15" border="0" style="vertical-align:bottom" width="105" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0370269316303586-si1.gif">pt>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si1.gif" overflow="scroll"><msqrt><msub><mrow><mi>smi>mrow><mrow><mi mathvariant="normal">NNmi>mrow>msub>msqrt><mo>=mo><mn>2.76mn><mtext> TeVmtext>math>pan>pan>pan> using the ALICE detector at the Large Hadron Collider (LHC). The flow har
monics are obtained using two- and four-
particle correlations fro
m nine different centrality intervals covering central to
peri
pheral collisions. We find that the sha
pe of
pan id="mmlsi6" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si6.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=75251f1f46549c175e779ff2b4ae8a8d" title="Click to view the MathML source">vn(η)pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si6.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mi>nmi>mrow>msub><mo stretchy="false">(mo><mi>ηmi><mo stretchy="false">)mo>math>pan>pan>pan> is largely inde
pendent of centrality for the flow har
monics
pan id="mmlsi7" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si7.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=ea9a291dd8beedf88a13c9103c79334a" title="Click to view the MathML source">n=2–4pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si7.gif" overflow="scroll"><mi>nmi><mo>=mo><mn>2mn><mtext>–mtext><mn>4mn>math>pan>pan>pan>, however the higher har
monics fall off
more stee
ply with increasing
pan id="mmlsi8" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si8.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=8f072ec63cf8a21187020234d0a227ae" title="Click to view the MathML source">|η|pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si8.gif" overflow="scroll"><mo stretchy="false">|mo><mi>ηmi><mo stretchy="false">|mo>math>pan>pan>pan>. We assess the validity of extended longitudinal scaling of
pan id="mmlsi2" class="mathmlsrc">pan class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0370269316303586&_mathId=si2.gif&_user=111111111&_pii=S0370269316303586&_rdoc=1&_issn=03702693&md5=9ca06101309bad52b1ff201bcbd21958" title="Click to view the MathML source">v2pan>pan class="mathContainer hidden">pan class="mathCode"><math altimg="si2.gif" overflow="scroll"><msub><mrow><mi mathvariant="normal">vmi>mrow><mrow><mn>2mn>mrow>msub>math>pan>pan>pan> by co
mparing to lower energy
measure
ments, and find that the higher har
monic flow coefficients are
pro
portional to the charged
particle densities at larger
pseudora
pidities. Finally, we co
mpare our
measure
ments to both hydrodyna
mical and trans
port
models, and find they both have challenges when it co
mes to describing our data.