Series[(1/dera)/.Series[(1/dera)/.Series[(1/dera)/.{{{xxx→→→1 + dx, y1 + dx, y1 + dx, y→→→dydydy}}}//N,//N,//N,{{{,,,0,0,0,222}}}]]]
−(4.99462 −7.97591i)−(0.000301896 +0.000506802i)κ +(8.777155456659317`*∧-9−2.6624647036577535`*κ2 ∧-8i)2 +O[] 3
ua =ua =ua =−−−(“4.99462”(“4.99462”(“4.99462”−−−“7.97591”i)“7.97591”i)“7.97591”i)−−−(“0.000301896” +“0.000506802”i)(“0.000301896” +“0.000506802”i)(“0.000301896” +“0.000506802”i)κκκ +++
(8.777155456518994`*∧-9−2.6624647036505017`*∧-8i)2 κ2 ; (8.777155456518994`*∧-9−2.6624647036505017`*∧-8i)2 κ2 ; (8.777155456518994`*∧-9−2.6624647036505017`*∧-8i)2 κ2 ;
uad =uad =uad =−−−(“4.99462” + “7.97591”i)(“4.99462” + “7.97591”i)(“4.99462” + “7.97591”i)−−−(“0.000301896”(“0.000301896”−“0.000506802”i)(“0.000301896”−“0.000506802”i)−“0.000506802”i)κκκ +++
(8.777155456518994`*∧-9+2.6624647036505017`*∧-8i)2 κ2 ; (8.777155456518994`*∧-9+2.6624647036505017`*∧-8i)2 κ2 ; (8.777155456518994`*∧-9+2.6624647036505017`*∧-8i)2 κ2 ;
Series [τ22/.Series [τ22/.Series [τ22/.{{{mmm→→→111}}}/././.{{{uuu→→→xxx+++III∗∗∗yyy}}}/././.{{{xxx→→→1 + dx, y1 + dx, y1 + dx, y→→→dydydy}}}//N,//N,//N,{{{,,,0,0,0,222}}}]]]
(0.436634 + 0.899639i)−(0.0000921108 +0.0000567335i)κ +(5.8328924576086865`*∧-9−1.2997007069261508`*κ2 ∧-9i)2+O[] 3 Imt22 = 0.899639 + “0.0000567335”Imt22 = 0.899639 + “0.0000567335”κ; κ; Imt22 = 0.899639 + “0.0000567335”κ; g22 = Series 1 Imt22,{,0,2} g22 = Series 1 Imt22,{,0,2} g22 = Series 1 Imt22,{,0,2} 1.11156−0.0000700976 κ + 4.420527614073487`*∧-92 κ2 +O[] 3
Series [τSeries [τSeries [τ12/.1212/./.{{{mmm→→→111}}}/././.{{{uuu→→→xxx+++III∗∗∗yyy}}}/././.{{{xxx→→→1 + dx, y1 + dx, y1 + dx, y→→→dydydy}}}//N,//N,//N,{{{,,,0,0,0,222}}}]]]
−(0.491275−0.0280705i)−(0.0000482472 +7.305725060501539`*κ ∧-6i)+(8.40749190959112`*∧-9+1.6889564009283623`*κ2 ∧-10i)2+ O[]3
Imt12 = “0.0280705”Imt12 = “0.0280705”Imt12 = “0.0280705”−−−7.305725060501539`*7.305725060501539`*7.305725060501539`*∧∧∧-6-6-6κκκ;;;
f222 = Series[F222/.f222 = Series[F222/.f222 = Series[F222/.{{{mmm→→→111}}}/././.{{{uuu→→→xxx+++III∗∗∗yyy}}}/././.{{{xxx→→→1 + dx, y1 + dx, y1 + dx, y→→→dydydy}}}//N,//N,//N,{{{,,,0,0,0,222}}}]]]
(0.0735233 −0.680554i) +(0.0000824377 +0.0000831488i)κ −(4.079368623497261`*∧-8+1.622773199008971`*κ2 ∧-8i)2 +O[]3 f122 = Series[F122/.f122 = Series[F122/.f122 = Series[F122/.{{{mmm→→→111}}}/././.{{{uuu→→→xxx+++III∗∗∗yyy}}}/././.{{{xxx→→→1 + dx, y1 + dx, y1 + dx, y→→→dydydy}}}//N,//N,//N,{{{,,,0,0,0,222}}}]]]
−(0.0895189 + 0.295503i) +(0.0000628572 +0.000100444i)κ −(2.1444816209673046`*∧-8+5.722127999917844`*κ2 ∧-9i)2+O[] 3
pt = f122pt = f122pt = f122−−−Imt12Imt12Imt12∗∗∗g22g22g22∗∗∗f222f222f222
−(0.091813 + 0.274268i) +(0.0000610268 +0.0000909836i)κ −(1.9387085950990714`*∧-8+3.943984936043651`*κ2 ∧-9i)2+O[]3
THE BOSONIC MASS
mA =mA = 141∗g22∗(D2V + d2V)∗ua∗uad 4∗g22∗(D2V + d2V)∗ua∗uad mA = 14∗g22∗(D2V + d2V)∗ua∗uad
(38766.8 + 2.7981704032399277`*∧-12i)κ2+ (3.73332 + 9.47652170877663`*∧-16i)κ
−(0.0141169 + 8.672413972193371`*∧-19i)2+O[]3
Series[uaSeries[uaSeries[ua∗∗∗uad,uad,uad,{{{,,,0,0,0,222}}}]//Simplify]//Simplify]//Simplify (88.5614 + 0.i)−0.0050687
κ −
1.6439958707931913`*∧-72
κ2 +O[] 3
THE FERMIONIC MASS mX0 = g22mX0 = g22mX0 = g22∗∗∗2κ2κ2κ∗∗∗(ua)(ua)(ua)222
(−85.9654−177.123i)κ+ (0.030098 + 0.0117184i)−(1.5171761630918473`*∧-6−8.438068394771261`*κ ∧-7i)2 +O[]3 Series[Series[Series[
((((((−−−“85.9654”“85.9654”“85.9654”−−−“177.123”i)κ“177.123”i)κ“177.123”i)κ+ (“0.030098” + “0.0117184”i)+ (“0.030098” + “0.0117184”i)+ (“0.030098” + “0.0117184”i)−−−
(1.5171761630918473`*∧-6−8.438068394771261`*∧-7i)2 κ ∗ (1.5171761630918473`*∧-6−8.438068394771261`*∧-7i)2 κ ∗ (1.5171761630918473`*∧-6−8.438068394771261`*∧-7i)2 κ ∗
((((((−−−“85.9654” + “177.123”i)κ“85.9654” + “177.123”i)κ“85.9654” + “177.123”i)κ+ (“0.030098”+ (“0.030098”+ (“0.030098” −−−“0.0117184”i)“0.0117184”i)“0.0117184”i)−−−
(1.5171761630918473`*∧-6+8.438068394771261`*∧-7i)2 κ ,{,0,2}i//Simplify (1.5171761630918473`*∧-6+8.438068394771261`*∧-7i)2 κ ,{,0,2}i//Simplify (1.5171761630918473`*∧-6+8.438068394771261`*∧-7i)2 κ ,{,0,2}i//Simplify 38762.5κ2−9.32597κ+ (0.00100515 + 0.i)2+O[]3
mX = g22mX = g22∗∗2κ2κ∗∗(ua)(ua)22−−II∗∗κκ∗∗(dx +(dx +Idy)Idy)∗∗uaua∗∗g22g22∗∗f222 +f222 +“38762.5”κ“38762.5”κ2I 22∗pt
2I ∗pt
mX = g22∗2κ∗(ua)2−I∗κ∗(dx +Idy)∗ua∗g22∗f222 +“38762.5”κ2I 2∗pt (−85.9654−177.123i)κ+
(0.00542119 + 0.0111698i) + 1.11156 (0.0327963 + 0.00155878i)−(5315.66 −1779.45i)κ2+ −3.4187406019167613`*∧-7+7.043956750336439`*∧-7i κ + 1.11156 −1.9722329622472386`*∧-6−3.209345063145104`*∧-6i κ + (1.76338 −1.18278i)κ − 0.0000700976((0.0327963 +0.00155878i)−(5315.66−1779.45i)κ2) κ 2+O[]3 Series[mX,Series[mX,Series[mX,{{{,,,0,0,0,222}}}]//Simplify]//Simplify]//Simplify
(−85.9654−177.123i)κ+ (0.0418761 + 0.0129025i)−(5908.66 −1977.96i)κ2+ −4.833060912423989`*∧-6−2.7537076518432195`*∧-6i κ + (2.33271 −1.43946i)κ 2+O[]3 Series[Series[Series[
((((((−−−“85.9654”“85.9654”“85.9654”−−−“177.123”i)κ+“177.123”i)κ+“177.123”i)κ+
(“0.0418761” + “0.0129025”i)−(“5908.66”−“1977.96”i)κ2 + (“0.0418761” + “0.0129025”i)−(“5908.66” −“1977.96”i)κ2+ (“0.0418761” + “0.0129025”i)−(“5908.66” −“1977.96”i)κ2 + −4.833060912423989`*∧-6−2.7537076518432195`*∧-6i κ + (“2.33271”−“1.43946”i)κ 2∗ −4.833060912423989`*∧-6−2.7537076518432195`*∧-6i κ + (“2.33271” −“1.43946”i)κ 2∗ −4.833060912423989`*∧-6−2.7537076518432195`*∧-6i κ + (“2.33271”−“1.43946”i)κ 2∗ ((((((−−−“85.9654” + “177.123”i)κ+“85.9654” + “177.123”i)κ+“85.9654” + “177.123”i)κ+
(“0.0418761” −“0.0129025”i)−(“5908.66” + “1977.96”i)κ2 + (“0.0418761”−“0.0129025”i)−(“5908.66” + “1977.96”i)κ2 + (“0.0418761”−“0.0129025”i)−(“5908.66” + “1977.96”i)κ2 + −4.833060912423989`*∧-6+2.7537076518432195`*∧-6i κ + (“2.33271” + “1.43946”i)κ 2, −4.833060912423989`*∧-6+2.7537076518432195`*∧-6i κ + (“2.33271” + “1.43946”i)κ 2, −4.833060912423989`*∧-6+2.7537076518432195`*∧-6i κ + (“2.33271” + “1.43946”i)κ 2,
{{{,,,0,0,0,222}}}]//Simplify]//Simplify]//Simplify
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