XY Z-like spectra from Laplace sum rule at N2LO in the chiral limit

被引：33

作者：

Albuquerque, R. ^{[1
]}

Narison, S. ^{[2
]}

Fanomezana, F. ^{[3
]}

Rabemananjara, A. ^{[3
]}

Rabetiarivony, D. ^{[3
]}

Randriamanatrika, G. ^{[3
]}

机构：

[1] Univ Estado Rio De Janeiro, FAT, UERJ, Fac Technol, Rio De Janeiro, RJ, Brazil

[2] CNRS IN2P3, LUPM, Case 070,Pl Eugene Bataillon, F-34095 Montpellier, France

[3] Univ Ankatso, Inst High Energy Phys Madagascar iHEPMAD, Antananarivo 101, Madagascar

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2016年 / 31卷 / 36期

关键词：

QCD spectral sum rules; perturbative and nonperturbative calculations; exotic mesons masses and decay constants; 0(++) HEAVY 4-QUARK; N-C QCD; GLUON CONDENSATE; CURRENT CORRELATORS; SYMMETRY-BREAKING; MASS-SPLITTINGS; DECAY CONSTANTS; QUARK MASSES; PI-PI; PRECISE FD(S); B(S);

D O I：

10.1142/S0217751X16501967

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We present new compact integrated expressions of QCD spectral functions of heavy-light molecules and four-quark XY Z-like states at lowest order (LO) of perturbative (PT) QCD and up to d = 8 condensates of the Operator Product Expansion (OPE). Then, by including up to next-to-next leading order (N2LO) PT QCD corrections, which we have estimated by assuming the factorization of the four-quark spectral functions, we improve previous LO results from QCD spectral sum rules (QSSR), on the XY Z-like masses and decay constants which suffer from the ill-defined heavy quark mass. PT N3LO corrections are estimated using a geometric growth of the PT series and are included in the systematic errors. Our optimal results based on stability criteria are summarized in Tables 11-14 and compared, in Sec. 10, with experimental candidates and some LO QSSR results. We conclude that the masses of the XZ observed states are compatible with (almost) pure J(PC) = 1(++/-), 0(++) molecule or/and four-quark states. The ones of the 1(-+/-), 0(-+/-) molecule/four-quark states are about 1.5 GeV above the Yc,b mesons experimental candidates and hadronic thresholds. We also find that the couplings of these exotics to the associated interpolating currents are weaker than that of ordinary D, B mesons (f(DD) approximate to 10(-3)f(D)) and may behave numerically as 1/(M) over bar (3/2)(b) b (respectively 1/(m) over bar (b)) for the 1(+), 0(+) (respectively 1(-), 0(-)) states which can stimulate further theoretical studies of these decay constants.

引用

页数：57

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