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4 Aug 2010: See S. Catani, G. Marchesini and B.R.Webber, Nucl. Phys. B349 (1991) 635. ... Strictly the distribution is exponential in 1-COS(THETA), with mean CLSMR; increasing CLSMR increases the decorrelation.

4 Jan 2016: ii) For a massive boson with momentum p = (p sin θ, 0, p cos θ), a suitable choice ofthe three possible polarisation vectors is:. ... ǫν1 = (0, 0, 1, 0), ǫν2 = (0, cos θ, 0, sin θ), ǫνL =. 1. mZ(pZ, EZ sin θ, 0, EZ cos θ). iii) In the

26 Oct 2012: 2(ceR)2(cµR). 2 2(ceR)2(cµL)2 2(ceL)2(cµR)2 2(ceL)2(cµL)2) cos θ}= A(1 cos2 θ) B cos θ,. ... 1. A(1 cos2 θ) B cos θd(cos θ). = 2πA. [. x x3. 3. ]1. 1. =16. 3πA. =16. 3π. g4Z256π2Γ 2Z. [.

19 Nov 2007: d = d cos θiq dφiq. Angular Ordering. Monte Carlo Methods 2 Bryan Webber. ... Hence. 1 cos θjq = a b cos φiqz = exp(iφiq).

26 Oct 2012: d cos θ=. dy. d cos θdσ. dy 1. 2(1 y)2 = 1. ... Γ(B0d Bd0). 0. eΓt(1 cos mt)dt = 1Γ. x2. 1 x2.

16 Jan 2007: 0. 50. 100. 150. 200. 250. 300. 350. 400. 450. b) udsZ|<0.8θ|cos. ... b) The jet energy resolution, defined as the α inσEE - α E GeV , plotted versus cos θqq for four different values of , s.

4 Dec 2008: Spacelike branching: gluon splitting on incoming line (a). p2b = EaEc(1 cos θ) 0. ... p2b m2q = EaEc(1 va cos θ) 0 ,. Hence Ec 0 soft divergence remains; collinear enhancement becomes a divergence as.

4 Dec 2008: i. 29. Angular Ordering. To prove angular ordering property, write. 1 cos θjq = a b cos φiq. ... where. a = 1 cos θij cos θiq , b = sin θij sin θiq.

19 Sep 2012: ii) For a massive boson with momentum p = (p sin θ, 0, p cos θ), a suitable choice ofthe three possible polarisation vectors is:. ... ǫν1 = (0, 0, 1, 0), ǫν2 = (0, cos θ, 0, sin θ), ǫνL =. 1. mZ(pZ, EZ sin θ, 0, EZ cos θ). iii) In the

15 Sep 2009: i. 5. Angular Ordering. To prove angular ordering property, write. 1 cos θjq = a b cos φiq. ... where. a = 1 cos θij cos θiq , b = sin θij sin θiq.

6 Dec 2023: p3 = (E, E sin, 0, E cos). p4 = (E,E sin, 0,E cos). ... ML =gWp2 (0, 0, 0, 1) mW (0,cos,i, sin) =. 1p2gW mW sin.

24 Oct 2011: 1 cos θ2 (E3/E1)(1 cos θ). ]. whereθ is the angle through which the positron has scattered. ... b) The Lorentz invariant matrix element forπ µνµ decay is. Mf i =g2W.

25 Oct 2023: 1. 642sh|Mfi|2i =. e4. 82s. 1 14 (1 cos). 2. (1 cos)2. ... c = cos(/2). In terms of = |p|Eme. (Non-relativistic limit:! 0Ultra-relativistic limit:!

24 Nov 2005: mW = 12 vg = mZ cos θw. N.B. sin2 θw = 1 m2W. ... MZ =gv. 2 cos θw= 91.1882(22) GeV. 26. N.B. These relations are subject to higher-order (electroweak and strong)corrections.

8 Oct 2009: Classical Limit. 20. pJ. bx. y. ). θ. ζ. p = ω(sin θ, 0, cos θ)b = b(cos θ sin ζ, cos ζ, sin θ sin ζ). ... d cos θ dζ b2c (θ, ζ). l = b ω(cos θ cos ζ, sin ζ, sin θ cos ζ)l.

22 Nov 2011: 1! 1!cos##"". F B µµ–. e+ e–. µµ++. F B e.g. ... backward hemisphere. Prof. M.A. Thomson Michaelmas 2011 506. -1! 1!cos##"". F B!

10 Sep 2009: Spacelike branching: gluon splitting on incoming line (a). p2b = EaEc(1 cos θ) 0. ... For g qq̄:. P̂qg(z, φ) = TRh. z2+ (1 z). 2 2z(1 z) cos 2φ.

4 Dec 2008: 0.8. 0.9. 1. 0 0.2 0.4 0.6 0.8 1. cos! cos! ... b. in. SUSY. UED. PS. Data. 200 fb-1. S5. Figure 5: The points show the cos θll distribution for the S5 signal sample ("̃+"̃.

5 Oct 2023: Q2 = 2E1 E3(1 cos θ)Q2 > 0. (b) by considering the invariant mass of the final state hadronic system, orotherwise, determine the range of values which x can take. ... y =p2.qp2.p1. =p2.( p1 p3). 2E2. =p2.(0, 0, 0, E(1 cos θ)).

12 Sep 2014: dσd. =dσdt. dtd. =1. 2πdt. d(cos θ)dσdt. 4 The Dirac Equation. ... 2(ceR)2 1. 4 (1 cos θ)2. ]=. 12g4Z s. 2. m4Z.

24 Jan 2013: pq ptpq pt̄. β =. 1 4m. 2t. ŝ,. d2σ̂A/dpT d cos θ̂. ... 2 dσ̂B/d cos θ̂=. αS2π. 16. pT. (N2 4)2N. log. 1 β cos θ̂1 β cos θ̂.

29 Sep 2009: dP SUSY2d cos θ. =12(1 cos θ). (3.2). In terms of the qlnear invariant mass,. ... mnearlq )2 = 2|pl||pq|(1 cos θ) =. 12(mnearlq ). 2max(1 cos θ) , (3.3).

19 Feb 2024: the W , Z, and γ. W W3W.  ; B  W Z. ... m2γ = ⟨W3 sinθW B cosθW |M̂2|W3 sinθW B cosθW ⟩. = m2W sin2 θW m. 2B cos. 2 θW 2m2WB cosθW sinθW = 0.

1 May 2014: 2 sin χ 2AD sin χ/C cos χC cos χ 4AB/C cos χ. ... See Appendix B for the full equations of motion. NB: cξ = cos ξ and sξ = sin ξ.

13 Nov 2008: From table 1, we see that N = 2 for allbranchings in the processes with {b, q}, {b, b̄} and {b, b} initial states, and for branchingsfrom leg and leg in the ... q) (p̄1p̄2, p̄1k̄1)(b, b̄; t, W, b̄) (p̄1p̄2, p̄2k̄1)(b̄, b; t, W, b̄) (p̄1p̄2,

18 Jun 2012: cos(k|x| φ)eκ|x|dx = 2. 0cos(kx φ)eκxdx. =. 0. (. eikxiφκx eikxiφκx). ... dx. =eiφ. κ ik eiφ. κ ik. =2. κ2 k2(κ cos φ k sin φ). =

18 Jun 2012: THEORETICAL PHYSICS 1. B R Webber and W J Stirling. Michaelmas Term 2009. ... Another useful formula from vector analysis says:. (a b) = (a )b (b )a [a curl b] [b curl a].

30 May 2023: n.b. of these processes, only n peν can occur outside a nucleus. ... n.b. not β decay, as nucleus composition is unchanged (e not fromnucleus).

31 Jul 2021: We define a rotor as. R = eθ2 B = cos. ( ... 3 (a,b,c) G(a,b,ca,b,c. )=. a a a b a cb a b b b cc a c b c c.

4 Jan 2016: k. Thus, in a magnetic field, withFij = ijkBk, we get the extra term 2eS B. ... Γ(a 1 2) = |p1|32π2m2a. |M|2 sin θdθdφ, (4.37). where particle 1 has 3-momentum (|p1|sin θ cos φ, |p1|sin θ sin φ, |p1|cos θ).

19 Feb 2024: m(A,Z) = Zmp (A Z)mn B. B = aV A aSA2/3 acZ. ... Prof. Tina Potter 13. Basic Nuclear Properties 20. Nuclear Size Mirror Nuclei115 B.

19 Oct 2005: BsBs mixing. The general formalismof B B mixinghas beendescribed many times and is reviewed in Ref Allowing for B! ... j B j t j et cos%mt. j B j t j et cos%mt where %m m m and & & & Dilutioneects or mistagging of a B mesons initial avorsee Chapt

29 Oct 2008: Sq H $#(w &y"w } 2tH &D4 B-B } 2tH &w%wt&'u. ... xK.ucw (! sv"8=ds-B-B-8&'u#xh+.144 s w64! udw H.