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LEGENDA
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LEGENDA
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%%%% Colums in table_Q / res have the following meaning:
table_Q res
1:6 L T L/H beta kappa mu
7:10 (r0): r0-thin r0-hyp
11:28, 1: 9 (m_pi) : av PPss PPls APss APls AAss AAls AP/PPss AP/PPls
29:34, 10:12 (m_rho): av VVi_ss VVi_ls
35:38, 13:14 (g_pi): PPss PPls
39:46, 15:18 (f_pi_Chi): AAss AAls rAPss rAPls
47:54, 19:22 (m_pcac_Chi_1,2): rAP_ss rAP_ls dAP/PP_ss dA/PP_ls
55:66, 23:28 (tgO): tgomega_ss tgomega_ls tgOVss tgOVls tgOAss tgOAls
67:70, 29:30 (omega): omega_ss/pi omega_ls/pi
71:74, 31:32 (ZA/ZV): ZAovZV_ss ZAovZV_ls
75:82, 33:36 (ZV): ZV_c_ss ZV_c_ls ZV_ind_ss ZV_ind_ls
83:94, 37:42 (ZA): ZA_mpcac_ss ZA_mpcac_ls ZA_om_c_ss ZA_om_c_ls ZA_om_ind_ss ZA_om_ind_ls
95:102,43:46 (f_pi_Chi_Vcons/s): VcVcss VcVcls rVcPss rVcPls
103:110,47:50 (f_pi_Chi_V/s): VVss VVls rVPss rVPls
%%%%%%% where:
("=" tells to how the quantity is computed. "->" tells the relation with renormalized quantities)
1. L/a, T/a, high/low, beta, kappa, mu, (fixed simulation parameters)
2. WL: r0/a_hyp, r0/a_thin
3. m_rho = from exp decay in VVs
4. m_pi = from exp decay in PP, AP, AA0, AP/PP
5. g_pi = <0|P|pi> [-> g_pi_R /ZP]
6. f_pi_Chi_A = r_AP * g_pi /m_pi [-> f_pi_R * cos /ZA ]
7. f_pi_Chi_V = r_VP * g_pi /m_pi [-> f_pi_R * sin /ZV]
8. m_PCAC_Chi_1 = f_pi_Chi m_pi^2 /(2 g_pi) [-> m^PCAC_R * cos ZP/ZA ]
9. m_PCAC_Chi_mu/s = mu/s [-> m^PCAC_R * ZP]
10. m_PCAC_Chi_2 = dAP/(2 PP) [-> m^PCAC_R * cos ZP/ZA ]
11. tan(omega_V) = <V P0 > / < A P0 >
12. tan(omega_A) = (AVs - tan(omega_V) AAs) / (VVs + tan(omega_V) VAs)
13. tan(omega) = sqrt(tan(omega_V) * tan(omega_A))
14. ZA/ZV_om = sqrt(tan(omega_V) / tan(omega_A))
15. ZV_ind = 2 mu / m_pi <0| P |pi> / <0| V |pi> [= mu/r_VP]
16. ZA_mpcac = mu/ (tg(om)*m_PCAC_Chi)
17. ZA_om_ind = (ZA/ZV)_om * Zv_ind
%%% using conserved V:
18. f_pi_Chi_Vcons/s = (r_VcP *g_pi /m_pi)/sin [-> f_pi_R]
19. ZV_c = < V0cons P > /< V0 P >
20. ZA_fpi = (f_pi_Chi_A) / (f_pi_Chi_Vcons ) * (s/c)
21. ZA_om_c = (ZA/ZV)_om * Zv_c
%%% Ideally we should perform the fits for all combinations and or weighted averages
%%% of the alternatives below.
%%% Independent choices are in different lines.
%%% Mutually exclusive alternatives are separated by "/".
%%% Alternatives which involve Vcons are separated by "//"
m_pi from PP / AP / AA0 / (AP/PP)
r0 from: thin / hyp
r0 from: lin. extrapolated to m_q=0 / mass-dep
ZA,ZV from: 15+16 / 14+15+17 / 14+16+17 // 19+20 / 14+19+21 / 14+20+21
ZA,ZV from: lin. extrapolated to m_q=0 / mass-dep
g_pi from: 5
f_pi from: 6 / 7 // 18
m_pcac from: 8 / 9 / 10
omega from: 13
all: ss / ls
(when writing all in terms of m_pcac ZP disappear inside B_0)