Corrections to Weak Scale Supersymmetry

Transcription

1 Correctons to Weak Scale Supersymmetry Paper Back Edton, 0 Howard Baer and Xerxes Tata, Cambrdge Unversty Press Chapter 8 page 63, unnumbered equaton at the top of the page: The SU3 couplng matrces n the round brackets are unfortunately denoted by the same symbol that we use to denote the SU3 gaugno λ A n ths equaton. We apologse for any confuson caused by ths terrble notaton. We thank Thems Athanassadou for pontng ths out. November 0, 007 page 85, Eq. 8.7 should read, 3 V [m tl 3π + f t h 0u log m t L + ft h 0 u Q 3 + m t R + ft h 0 u log m t R + ft h 0 u Dec. 3, 0 ft 4 h 0 u 4 log f t h 0 u Q 3. Q 3 page 87, After Eq nsert, where x = m g. Nov. 30, 0 m q Chapter 9 page 6: The argument of the Bessel functon K on the rght-hand-sde of Eq should read a x, not a 4. July, 04 Chapter 0 page 5, The transformaton of ˆf n the exercse should read ˆfŜ exp hŝ ˆf. Aug. 8, 07. We thank Dbyashee Sengupta for brngng ths typo to our attenton.

2 Chapter 6 page 470: On the second lne of the paragraph begnnng on top of the page, Z cds + c d s should read Z cds + c d s. January 5, 0 Appendx A page : A factor of factor of s was nadvertently left out on the rght-hand sde of Eq. A.5b. Eq. A.5b should read, dσ dz e Lē R ν e ν e = p3 E 8πs z [ 4e 4 α ν β ν α e β e g 4 sn 4 γ R s MZ + MZ + Γ Z [EE pz + m W m ν e g 4 cos 4 γ R + [EE pz + m W m ν e 4e g α ν β ν α e β e s MZ sn γ R [s MZ + MZ Γ Z [EE pz + m W m ν e 4e g α ν β ν α e β e s MZ cos γ R [s MZ + MZ Γ Z [EE pz + m W m ν e g 4 sn γ R cos γ R + [EE pz + m W m ν e [EE pz + m W m ν. e June 3, 04

3 Correctons to Weak Scale Supersymmetry Hard Back Edton, 006 Howard Baer and Xerxes Tata, Cambrdge Unversty Press Unnumbered Descrpton Page precedng Ttle Page On the last lne, Amercal should be Amercan. Aprl 8, 006 Preface page xv, para, lne : remove the comma between and and encouragement. Aprl 7, 006 page xv, The URL to the webste of the Correctons to ths book should read the 0 at the end needs to be deleted. Nov. 5, 00 Chapter page 0, lne below.0 should read, λ f = gm f MW. Aprl 7, 006 Chapter 3 page 30, lne 3 of the exercse should read, the propertes TrΓ = 0 for Γ and TrΓ Γ j = 4δj. September 6, 006 Chapter 6 page 0, In Eq. 6.47, the sgn of the Fayet-Illopoulos term should be flpped and the Hermtean conjugate on the second lne should also conjugate d θ L, so that ths equaton should read, S = d 4 xd 4 [Ŝ θ e gta ˆΦ A Ŝ + ξ pˆφp 4 [ d 4 xd θ L ˆf Ŝ + h.c d 4 xd θ L ŴAŴA c. 4 We thank Scott Wllenbrock for brngng the typo on the second lne to our attenton. October, 007 3

4 Chapter 7 page 6, n the last unnumbered equaton, the dervatve should be evaluated wth the superfeld set equal to the correspondng scalar feld, so that ths reads, f AB λa λ B. October, 006 ŜL page 8, eq. 7.9: the dervatve on the frst term on the rght hand sde should be evaluated wth the superfeld equal to the correspondng scalar component, so that ths equaton reads, V S, S = ˆf + S Ŝ gt AS + ξ A, 7.9 October, 006 A page 9, eq. 7.30: the second dervatves n the frst term on the rght hand sde should be taken wth respect to the correspondng superfelds, and should be evaluated wth the superfelds set equal to ther scalar components, so that ths equaton reads, STrM scalars =,j + A ˆf Ŝ Ŝj D A Trgt A +,A ˆf Ŝ Ŝj g S t At A S, 7.30 October, 006 page 0, eq. 7.33: n the, entry of the matrx the dervatves should be wth respect to superfelds, and should be evaluated wth the superfeld set equal to the correspondng scalar feld. Ths equaton should read, L 0 λa ψ gs t B gs t A j ˆf Ŝ Ŝj γ 5 λb ψ j + h.c October, 006 page 0, eq. 7.34: n the second term n the square brackets, the dervatves should be wth respect to superfelds, and be evaluated wth the superfelds set equal to the correspondng scalar components, so that ths equaton reads, 4

5 STrM fermons = 4g S t A t A S +,A,j ˆf ˆf Ŝ Ŝj Ŝ Ŝj October, 006 Chapter 8 page 47, lne 8: remove the comma after The mxng matrx. August 8, 006 page 56, second lne of unnumbered equaton just above 8.63a: The sum over A should be removed. We thank Scott Wllenbrock for pontng ths out. November 0, 007 page 59, 3 lnes above 8.69a: the tlda s should be properly algned over f L and f R. August 8, 006 page 63, unnumbered equaton at the top of the page: The SU3 couplng matrces n the round brackets are unfortunately denoted by the same symbol that we use to denote the SU3 gaugno λ A n ths equaton. We apologse for any confuson caused by ths terrble notaton. We thank Thems Athanassadou for pontng ths out. November 0, 007 page 64, Eq should read, L 4 q = g s 8 q L λ A q L A q R λ A q R, where denotes the flavor of the squark. Sept. 3, 007 page 80, Equaton 8.3: The g 4 just before the large open square bracket on the thrd last lne should be g. We thank Andrew Box for brngng ths typo to our attenton. March 6, 007 page 80, Eq. 8.3: The term on the last lne of Eq. 8.3 should read, g s 8 q L λ A q L A q R λ A q R. Sept. 3, 007 page 85, Eq. 8.7 should read, 3 V [m tl 3π + f t h 0u log m t L + ft h 0 u Q 3 5

6 Dec. 3, 0 + m t R + ft h 0 u log m t R + ft h 0 u Q 3 ft 4 h 0 u 4 log f t h 0 u Q 3. page 85, Eq. 8.8: On the left hand sde, m h,h should be m h,h. We thank Csaba Balázs for pontng ths out. Aug. 7, 008 page 87, After Eq nsert, where x = m g. Nov. 30, 0 m q Chapter 9 page 98: In the expresson for ζ just below the equaton for mass egenvalues, should be φ φ W µ. February 7, 007 page 5: In Eq. 9.33, M Pl should be n the denomnator nstead of the numerator,.e. ths equaton should read, ρ Z T 0.66 M Pl T0 T γ 3 Tγ 3 g XF σv 0 rel dx. We thank Danel Feldman for brngng ths typo to our attenton. February 5, 007 page 6: The argument of the Bessel functon K on the rght-hand-sde of Eq should read a x, not a 4. July, 04 vspace5mm Chapter 0 page 39, lnes below 0.9: Replace the sentence, We wll see later...on the spacetme manfold. wth, The torson tensor, usually taken to be zero n GR, does not vansh n supergravty theores when gravtnos see below are present.. October, 006 page 40, lnes 3-4 of the exercse should read,...the equaton of moton for a spnless partcle s... nsert spnless. October, 006 page 4, n the lnes followng eq. 0.6: Replace the text startng wth, Ths tensor vanshes... to the end of the page,.e. untl...and n partcular n GR, by, The part of ths tensor symmetrc under µ λ vanshes n the frame where the metrc s locally Mnkowskan, and hence must vansh n all frames. We thus obtan, Γ τ µλ = gντ µ g νλ + λ g µν ν g λµ, 0.7 6

7 for the components of the connecton that are symmetrc under µ λ. The correspondng antsymmetrc components of the connecton are not determned by the metrc, but depend on the torson tensor ntroduced above. We are grateful to Probr Roy for brngng the ndependence of the torson tensor to our attenton. October, 006 page 50, Insert a comma after 0.50c and also after 0.50d. May 4, 006 page 5, The second term on the RHS of 0.5 should read, [ d θ L ˆf Ŝ + h.c. Dec. 6, 006 We thank Scott Wllenbrock for pontng ths out. page 5, The transformaton of ˆf n the exercse should read ˆfŜ exp hŝ ˆf. Aug. 8, 07 We thank Dbyashee Sengupta for brngng ths typo to our attenton. page 55, The feld ψ L on the RHS of 0.59a should have an ndex. Also, there should be an ndex on DS n 0.59b. Dec. 6, 007 page 57, lne 5: delete the comma between Remember and that. Aprl 0, 006 Chapter page 64, Eq..: The subscrpt captal M n the last term of. should be a small m. Nov. 30, 007 We thank Scott Wllenbrock for brngng ths to our attenton. Chapter page 99, thrd last lne: remove the arrows over p a and p b. Aprl 7, 006 page 3, frst lne: Z ampltude should be W ampltude. July 5, 006 Chapter 3 page 348, footnote 4: remove the comma after See. August 8, 006 page 365, footnote 6: remove the comma before J. F. Gunon,. August 8, 006 7

8 Chapter 4 page 376: Item n Fg. 4.: Intal should be Intal. July 9, 008 We thank Eugene Golowch for pontng ths out. page 38: In the penultmate lne of the capton to Fg. 4.3, there should be perods after Phys and after Rev. Aprl 7, 006 Chapter 5 page 48: In the last lne of the capton to Fg. 5.6, JHEP should be talcsed and 06 should be bold-faced. Aprl 7, 006 page 48: The > 0 on top of Fg. 5.6 should read µ > 0. June 8, 007 page 49: In the capton to Fg. 5.7, Krupornckas should read Krupovnckas. September 5, 009 page 40: The > 0 n the frame of Fg. 5.8 should read µ > 0. June 8, 007 page 447: In footnote 3, the frst reference should be to Phys. Lett. B565, July 3, 006 Chapter 6 page 470: On the second lne of the paragraph begnnng on top of the page, Z cds + c d s should read Z cds + c d s. January 5, 0 Appendx A page 48: In A.7, m g should be m g n the second term of the curly braces. Aprl 7, 006 dσ dσ page 48: dt on the LHS of both Eq. A.4 and Eq. A.5a should be. dˆt Sept., 007 page : A factor of factor of s was nadvertently left out on the rghthand sde of Eq. A.5b. Eq. A.5b should read, dσ dz e Lē R ν e ν e = p3 E 8πs z [ 4e 4 α ν β ν α e β e g 4 sn 4 γ R s MZ + MZ + Γ Z [EE pz + m W m ν e g 4 cos 4 γ R + [EE pz + m W m ν e 8

9 4e g α ν β ν α e β e s MZ sn γ R [s MZ + MZ Γ Z [EE pz + m W m ν e 4e g α ν β ν α e β e s MZ cos γ R [s MZ + MZ Γ Z [EE pz + m W m ν e g 4 sn γ R cos γ R + [EE pz + m W m ν e [EE pz + m W m ν. e June 3, 04 Appendx B page 54: The denomnator on the rght-hand-sde of B.77b should be m Z, not m Z j. July 3, 009 We thank Srkanth Hund for pontng ths out. 9