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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% new commands
% for units, dbd, spacings, literature,
% experiments and equipment, codes, and isotopes
%
% 2013-06-29 / pg to be used in drafts, SC or GSTR
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage{amssymb} % packages called in main file, e.g. gstr-template.tex
\usepackage{marvosym} % symbols for EURO
\usepackage{upgreek} % for upright greek letters in units
% units %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
\newcommand{\versionabb} {version 11.0 dated 20161109}
%
\newcommand{\ctsper} {cts/(keV$\cdot$kg$\cdot$yr)}
\newcommand{\ctsperee} {cts/(keV$_{ee}\cdot$kg$\cdot$yr)}
\newcommand{\ctsperrec} {cts/(keV$_{rec}\cdot$kg$\cdot$yr)}
\newcommand{\zctsper} {{$10^{-2}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\tctsper} {{$10^{-2}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\pIbi} {{$10^{-2}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\dctsper} {{$10^{-3}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\pIIbi} {{$10^{-3}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\biperton} {{1~cts/(keV$\cdot$t$\cdot$yr)}}
\newcommand{\vctsper} {{$10^{-4}$~cts/(keV$\cdot$kg$\cdot$yr)}}
\newcommand{\ctsperx} {$\frac{10^{-3}\rm cts}{\rm keV\cdot kg \cdot yr}$}
\newcommand{\kgy} {{kg$\cdot$yr}}
\newcommand{\kgyr} {{kg$\cdot$yr}}
\newcommand{\kevkgyr} {{keV$\cdot$kg$\cdot$yr}}
\newcommand{\cum} {{m$^3$}}
\newcommand{\mubq} {{$\upmu$Bq}}
\newcommand{\mum} {{$\upmu$m}}
\newcommand{\mus} {{$\upmu$s}}
%\newcommand{\mubqperkg} {{$\frac{\upmu\mathrm{Bq}}{\mathrm{kg}}$}}
\newcommand{\mubqperkg} {{${\upmu\mathrm{Bq}}/{\mathrm{kg}}$}}
%
\def\cpowten#1#2{{$#1\cdot10^{#2}$}}
\def\powten#1{{$10^{#1}$}}
\newcommand{\baseT}[2]{\mbox{$#1{\cdot}10^{#2}$}}
\newcommand{\baseTsolo}[1]{$10^{#1}$}
%
\newcommand{\C} {$^\circ$C}
\newcommand{\al} {$\alpha$}
\newcommand{\be} {$\beta$}
\newcommand{\ga} {$\gamma$}
\newcommand{\gam} {$\gamma$}
\newcommand{\gammas} {$\gamma${s}}
\newcommand{\gline} {$\gamma$ line}
\newcommand{\glines} {$\gamma$ lines}
\newcommand{\gray} {$\gamma$ ray}
\newcommand{\grays} {$\gamma$ rays}
\newcommand{\qbb} {{$Q_{\beta\beta}$}}
\newcommand{\upqbb} {Q$_{\upbeta\upbeta}$}
\newcommand{\Qbb} {{$\text{Q}_{\beta\beta}$}}
\newcommand{\thalfzero} {${T^{0\nu}_{1/2}}$}
\newcommand{\thalftwo} {${T^{2\nu}_{1/2}}$}
\newcommand{\thalfmajo} {{${T^{0\nu \chi }_{1/2}}$}}
\newcommand{\nmez} {${\cal M}^{0\nu}$}
\newcommand{\nmet} {${\cal M}^{2\nu}$}
\newcommand{\mbb} {${\langle m_{\beta\beta}\rangle}$}
\newcommand{\nPlus} {n$^+$ electrode}
\newcommand{\pPlus} {p$^+$ electrode}
\newcommand{\aoe} {$A/E$}
\newcommand{\order}[1] {\mbox{$\mathcal{O}$(#1)}}
% dbd %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\bbno} {{$0\nu\beta\beta$}}
\newcommand{\onbb} {{$0\nu\beta\beta$}}
\newcommand{\onbbchi} {{$0\nu\beta\beta\chi$}}
\newcommand{\nnbb} {{$2\nu\beta\beta$}}
\newcommand{\uponbb} {{$0\upnu\upbeta\upbeta$}}
\newcommand{\upnnbb} {{$2\upnu\upbeta\upbeta$}}
\newcommand{\twonu} {{$2\nu\beta\beta$}}
\newcommand{\onecec} {{$0\nu\rm{ECEC}$}}
\newcommand{\nnecec} {{$2\nu\rm{ECEC}$}}
% other usefull %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\tlive} {\mbox{$t_{live}$}}
\newcommand{\flive} {\mbox{$f_{live}$}}
\newcommand{\fge} {\mbox{$f_{Ge}$}}
\newcommand{\fgesix} {\mbox{$f_{76}$}}
\newcommand{\fgesixi} {\mbox{$f_{76,i}$}}
\newcommand{\actmass} {\mbox{$M_{act}$}}
\newcommand{\ssmass} {\mbox{$M_{76}$}}
\newcommand{\factmass} {\mbox{$f_{av}$}}
\newcommand{\factmassi} {\mbox{$f_{av,i}$}}
\newcommand{\factvol} {\mbox{$f_{av}$}}
\newcommand{\factvoli} {\mbox{$f_{av,i}$}}
\newcommand{\subssix} {\mbox{$_{76}$}}
\newcommand{\subssixi} {\mbox{$_{76,i}$}}
\newcommand{\subav} {\mbox{$_{av}$}}
\newcommand{\subavi} {\mbox{$_{av,i}$}}
%\newcommand{\ }
%% spacings for tables etc %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\bal} {\rule{10mm}{0.2mm}}
\newcommand{\balf} {\rule{10mm}{2mm}}
\newcommand{\tabta} {\rule[-1,5mm]{0mm}{7,5mm}}
\newcommand{\tabtag} {\rule[-3mm]{0mm}{9mm}}
\newcommand{\up} {\rule{0mm}{5mm}}
\newcommand{\down} {\rule[-2mm]{0mm}{3mm}}
% for literature
\newcommand{\etal} {\textit{et al.}}
\newcommand{\bulitem} {\item[{\large$\bullet$}]}
\newcommand{\prep} {\textit{Preprint}}
\newcommand{\NIM} {Nucl.~Instr.~Meth.}
\newcommand{\PRB} {Phys.~Rev.~B}
\newcommand{\mpik} {\mbox{MPI-K}}
\newcommand{\mpip} {\mbox{MPI-P}}
% experiments and equipment %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\gerda} {\textsc{Gerda}}
\newcommand{\G} {{\mbox{\textsc{Gerda}}}}
\newcommand{\GERDA} {\mbox{\sc Gerda}}
%
\newcommand{\lngs} {{\mbox{\textsc{Lngs}}}}
\newcommand{\LNGS} {{\mbox{\sc Lngs}}}
\newcommand{\WT} {water tank}
%\newcommand{\ln} {LN} is already defined !!!!!
\newcommand{\lar} {LAr}
\newcommand{\geni} {{\mbox{\textsc{Genius}}}}
\newcommand{\gdl} {\textsc{Gdl}}
\newcommand{\gerdalarge} {\textsc{Gerda-LArGe}}
\newcommand{\bege} {{\sc BEGe}}
\newcommand{\phaseone} {Phase~I}
\newcommand{\phasetwo} {Phase~II}
\newcommand{\phasetwop} {Phase~II$^+$}
\newcommand{\PI} {Phase\,I}
\newcommand{\PII} {Phase\,II}
%\newcommand{\gerdanext} {\textsc{Gerda}\,200}
\newcommand{\gerdanext} {{\sc{Gerda-upgrade}}}
%\newcommand{\LARGE}{\mbox{{\sc LArGe}}} don't do this, this is a LATEX command
\newcommand{\LArGe} {\textsc{LArGe}}
\newcommand{\SUB} {{\mbox{\text{SUB}}}}
\newcommand{\Gerdella} {{\mbox{\textsc{Gerdella}}}}
\newcommand{\GeMPI} {Ge\textsc{MPI}}
%\newcommand{\GEMPI} {Ge\textsc{MPI}}
\newcommand{\GEMPI} {Ge\textsc{mpi}}
% other exps. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\majorana} {\textsc{Majorana}}
\newcommand{\Majorana} {{\mbox{\textsc{Majorana}}}}
\newcommand{\MAJORANA} {{\sc Majorana}}
\newcommand{\eureca} {{\sc Eureca}}
\newcommand{\igex} {\textsc{Igex}}
\newcommand{\IGEX} {{\mbox{\textsc{Igex}}}}
\newcommand{\hdm} {\textsc{HdM}}
\newcommand{\HdM} {\mbox{\textsc{HdM}}}
\newcommand{\HDM} {\mbox{\textsc{HdM}}}
\newcommand{\BX} {\mbox{\textsc{Borexino}}}
\newcommand{\borex} {\mbox{\textsc{Borexino}}}
\newcommand{\borexino} {\mbox{\textsc{Borexino}}}
\newcommand{\EUROBALL} {\textsc{Euroball}}
\newcommand{\ICARUS} {\textsc{Icarus}}
\newcommand{\LENS} {\textsc{Lens}}
\newcommand{\STRAW} {\textsc{Straw}}
\newcommand{\Gallex} {\textsc{Gallex}}
\newcommand{\LVD} {{\mbox{\textsc{Lvd}}}}
\newcommand{\GNO} {{\mbox{\textsc{Gno}}}}
\newcommand{\KAMLAND} {{\mbox{\textsc{KAMland}}}}
\newcommand{\CUORI} {{\mbox{\textsc{Cuoricino}}}}
\newcommand{\CUORE} {{\mbox{\textsc{Cuore}}}}
\newcommand{\cuore} {{\mbox{\textsc{Cuore}}}}
\newcommand{\AGATA} {{\mbox{\textsc{Agata}}}}
\newcommand{\WMAP} {{\mbox{\textsc{Wmap}}}}
\newcommand{\NEMO} {{\mbox{\textsc{Nemo}}}}
\newcommand{\KATRIN} {{\mbox{\textsc{Katrin}}}}
\newcommand{\MOON} {{\mbox{\textsc{Moon}}}}
\newcommand{\EXO} {{\mbox{\textsc{Exo}}}}
\newcommand{\GEM} {{\mbox{\textsc{Gem}}}}
\newcommand{\CAMEO} {{\mbox{\textsc{Cameo}}}}
\newcommand{\COBRA} {{\mbox{\textsc{Cobra}}}}
\newcommand{\CRYOGENM} {{\mbox{\textsc{Cryogenmash}}}}
\newcommand{\xenon} {{\mbox{\textsc{Xenon}}}}
\newcommand{\Xenon} {{\mbox{\textsc{Xenon}}}}
\newcommand{\taiga} {{\mbox{\textsc{Taiga}}}}
% codes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\geant} {\textsc{Geant4}}
\newcommand{\GEANT} {\textsc{\mbox{{Geant}}}}
\newcommand{\rootv} {\textsc{Root}}
\newcommand{\CERN} {{\mbox{\textsc{Cern}}}}
\newcommand{\mage} {\textsc{MaGe} }
\newcommand{\gelatio} {\textsc{Gelatio}}
\newcommand{\mgdo} {\mbox{MGDO}}
\newcommand{\tier} {\textsc{Tier}}
% isotopes %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\gesix} {{$^{76}$Ge}}
\newcommand{\geseven} {{$^{77}$Ge}}
\newcommand{\gefour} {{$^{74}$Ge}}
\newcommand{\gethree} {{$^{73}$Ge}}
\newcommand{\gess} {{$^{76}$Ge}}
\newcommand{\gesf} {{$^{74}$Ge}}
\newcommand{\geenr} {{$^{\rm enr}$Ge}} %$^{\rm enr}$Ge
\newcommand{\genat} {{$^{\rm nat}$Ge}}
\newcommand{\gedep} {{$^{\rm dep}$Ge}}
\newcommand{\geox} {{GeO$_2$}}
\newcommand{\enrgecoax} {{$^{\rm enr}$Ge-coax}}
\newcommand{\nuc}[2] {{$^{#2}$\rm #1}}
\newcommand{\cosix} {{$^{60}$Co}}
\newcommand{\radzzs} {{$^{226}$Ra}}
\newcommand{\thzza} {{$^{228}$Th}}
\newcommand{\tlzna} {{$^{208}$Tl}}
\newcommand{\kvn} {{$^{40}$K}}
\newcommand{\kvz} {{$^{42}$K}}
\newcommand{\Am} {$^{241}$Am}
\newcommand{\Rn} {$^{222}$Rn}
\newcommand{\Ra} {$^{226}$Ra}
\newcommand{\Po} {$^{210}$Po}
\newcommand{\Ar} {$^{39}$Ar}
\newcommand{\Kr} {$^{85}$Kr }
\newcommand{\Xe} {$^{133}$Xe}
\newcommand{\Ba} {$^{133}$Ba}
\newcommand{\Bi} {$^{214}$Bi}
\newcommand{\Yb} {$^{176}$Yb}
\newcommand{\Fe} {$^{55}$Fe}
\newcommand{\Th} {$^{228}$Th}
\newcommand{\Tl} {$^{208}$Tl}
\newcommand{\Ul} {$^{235}$U}
\newcommand{\Uh} {$^{238}$U}
\newcommand{\Be} {$^7$Be}
\newcommand{\YO} {Yb$_2$O$_3$}
\newcommand{\Co} {$^{60}$Co}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\exposure} {\mbox{$\cal E$}}
\newcommand{\effqual} {\mbox{$\varepsilon_{qcut}$}}
\newcommand{\effpsd} {\mbox{$\varepsilon_{psd}$}}
\newcommand{\effres} {\mbox{$\varepsilon_{res}$}}
\newcommand{\efffep} {\mbox{$\varepsilon_{fep}$}}
\newcommand{\effquali} {\mbox{$\varepsilon_{qcut,i}$}}
\newcommand{\effpsdi} {\mbox{$\varepsilon_{psd,i}$}}
\newcommand{\effresi} {\mbox{$\varepsilon_{res,i}$}}
\newcommand{\efffepi} {\mbox{$\varepsilon_{fep,i}$}}
%
\newcommand{\effmuon} {\mbox{$\varepsilon_\mu$}}
\newcommand{\effmurej} {\mbox{$\varepsilon_{rej}$}}
\newcommand{\effmureji} {\mbox{$\varepsilon_{rej,i}$}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%new
\newcommand{\thalfzeroLimitFreq} [3] {\thalfzero$\,>#1\cdot$\powten{#2}\,{yr} (#3\,\% C.L.)}
\newcommand{\thalfzeroSens} [2] {\thalfzero$\,>#1\cdot$\powten{#2}\,{yr}}
\newcommand{\thalfzeroLimitPII} {\thalfzeroLimitFreq{5.2}{25}{90}}
\newcommand{\thalfzeroSensPII} {\thalfzeroSens{4.0}{25}}
\newcommand{\bi} [2] {#1$\cdot$\powten{#2}\,\ctsper}
\newcommand{\biError} [4] {\bi{#1$^{+#2}_{-#3}$}{#4}}
\newcommand{\biPIIbege} {\biError{0.7}{1.1}{0.5}{-3}}
\newcommand{\biPIIcoax} {\biError{3.5}{2.1}{1.5}{-3}}