000046947 001__ 46947 000046947 005__ 20200221144127.0 000046947 0247_ $$2doi$$a10.1016/j.physletb.2015.11.020 000046947 0248_ $$2sideral$$a93140 000046947 037__ $$aART-2016-93140 000046947 041__ $$aeng 000046947 100__ $$aBorsanyi, S. 000046947 245__ $$aAxion cosmology, lattice QCD and the dilute instanton gas 000046947 260__ $$c2016 000046947 5060_ $$aAccess copy available to the general public$$fUnrestricted 000046947 5203_ $$aAxions are one of the most attractive dark matter candidates. The evolution of their number density in the early universe can be determined by calculating the topological susceptibility ¿(T) of QCD as a function of the temperature. Lattice QCD provides an ab initio technique to carry out such a calculation. A full result needs two ingredients: physical quark masses and a controlled continuum extrapolation from non-vanishing to zero lattice spacings. We determine ¿(T) in the quenched framework (infinitely large quark masses) and extrapolate its values to the continuum limit. The results are compared with the prediction of the dilute instanton gas approximation (DIGA). A nice agreement is found for the temperature dependence, whereas the overall normalization of the DIGA result still differs from the non-perturbative continuum extrapolated lattice results by a factor of order ten. We discuss the consequences of our findings for the prediction of the amount of axion dark matter. 000046947 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/RYC-2012-10597 000046947 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000046947 590__ $$a4.807$$b2016 000046947 591__ $$aASTRONOMY & ASTROPHYSICS$$b12 / 63 = 0.19$$c2016$$dQ1$$eT1 000046947 591__ $$aPHYSICS, PARTICLES & FIELDS$$b6 / 29 = 0.207$$c2016$$dQ1$$eT1 000046947 591__ $$aPHYSICS, NUCLEAR$$b3 / 20 = 0.15$$c2016$$dQ1$$eT1 000046947 592__ $$a3.032$$b2016 000046947 593__ $$aNuclear and High Energy Physics$$c2016$$dQ1 000046947 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000046947 700__ $$aDierigl, M. 000046947 700__ $$aFodor, Z. 000046947 700__ $$aKatz, S.D. 000046947 700__ $$aMages, S.W. 000046947 700__ $$aNogradi, D. 000046947 700__ $$0(orcid)0000-0002-1044-8197$$aRedondo, J.$$uUniversidad de Zaragoza 000046947 700__ $$aRingwald, A. 000046947 700__ $$aSzabo, K.K. 000046947 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000046947 773__ $$g752 (2016), 175-181$$pPhys. lett., Sect. B$$tPHYSICS LETTERS B$$x0370-2693 000046947 8564_ $$s666735$$uhttps://zaguan.unizar.es/record/46947/files/texto_completo.pdf$$yVersión publicada 000046947 8564_ $$s93947$$uhttps://zaguan.unizar.es/record/46947/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000046947 909CO $$ooai:zaguan.unizar.es:46947$$particulos$$pdriver 000046947 951__ $$a2020-02-21-13:03:47 000046947 980__ $$aARTICLE