� � � TeV4LHC WS — Feb 04 Brookhaven — Physics Landscapes Session — The SUSY Les Houches Accord Peter Skands (Fermilab) : SUSY Conventions and the emergence of SLHA. (+ Quick overview of SUSY RGE/ME/MC/... codes.) : Results of the Durham meeting. (NMSSM & towards CPV) P . Skands, the SuSy Les Houches Accord – p.1/20
✁ ✂ SuSy Conventions & emergence of SLHA Increasing no. of sophisticated codes for calculating the SuSy mass & coupling spectrum (’RGE codes’). Often (desired) interfaced to specialized codes for calculating e.g. cross sections, decay widths, or relic densities. Also, general-purpose Monte Carlo Event generators interface RGE codes and/or decay packages for SuSy spectra and decays. Previously, was necessary to write tailor-made interfaces be- tween each set of programs (+ keep up-to-date!). Cumbersome, and error-prone. Idea to have general interface instead. P . Skands, the SuSy Les Houches Accord – p.2/20
✄ What is the SLHA? Spectrum Event Gen./ SUSY model Calculator XS Calc. F EYN H IGGS MSSM C OMPHEP I SASUSY SUGRA AF’ S SLEPTONS (P YTHIA ) GMSB G RACE S OFTSUSY AMSB H ERWIG SP HENO RPV I SAJET S USPECT CPV P ROSPINO ... NMSSM P YTHIA ... S HERPA S USYGEN W HIZARD H DECAY ... Decay MICR S CDM NMHD ECAY Package D ARKSUSY Ellwanger+Gunion+Hugonie Package SD ECAY hep-ph/0406215 N EUTDRIVER ... NMSSM Higgs sector ... P . Skands, the SuSy Les Houches Accord – p.3/20
✄ What is the SLHA? SLHA Input SLHA Spectrum Event Gen./ SUSY Input + Spectrum model Calculator XS Calc. (+ Decay table) F EYN H IGGS MSSM C OMPHEP I SASUSY SUGRA AF’ S SLEPTONS (P YTHIA ) GMSB G RACE S OFTSUSY AMSB H ERWIG SP HENO RPV I SAJET S USPECT CPV P ROSPINO ... NMSSM P YTHIA ... SLHA Input S HERPA + Spectrum S USYGEN W HIZARD H DECAY ... SLHA Input Decay MICR S + Spectrum CDM NMHD ECAY Package + Decay table D ARKSUSY Package SD ECAY N EUTDRIVER ... ... P . Skands, the SuSy Les Houches Accord – p.3/20
✄ What is the SLHA? SLHA Input SLHA Spectrum Event Gen./ SUSY Input + Spectrum model Calculator XS Calc. (+ Decay table) F EYN H IGGS ✔ MSSM ✔ C OMPHEP I SASUSY ✔ SUGRA ✔ AF’ S SLEPTONS (P YTHIA ) ✔ GMSB ✔ G RACE S OFTSUSY ✔ AMSB ✔ H ERWIG SP HENO ✔ RPV I SAJET S USPECT ( ✔ ) CPV(...) P ROSPINO ✔ ... NMSSM( ✔ ) P YTHIA ✔ ... SLHA Input S HERPA + Spectrum S USYGEN W HIZARD ✔ H DECAY ... SLHA Input Decay S ✔ MICR + Spectrum CDM NMHD ECAY ✔ Package + Decay table D ARKSUSY Package SD ECAY ✔ N EUTDRIVER ... ... P . Skands, the SuSy Les Houches Accord – p.3/20
✍ ✞✡ ✑ ✌ ✒ ☛ ✞✡ ✠ ✞ ✓ ☞ ✞✡ ✔ ☛ ✞✡ ✠ ✞ ✎✏ ✠ ✖ ✎✏ ☎ ✆ ✍ ☛ ✆ ☎ ✝ ✞✡ ☛ ✞✡ ☞ ✕ ☞ Conventions and Consistency What is needed to ‘specify’ a SUSY model? 1. Specify experimental boundary conditions. ✝✟✞ “SM” gauge couplings & Yukawas (’measured’) “MSSM” couplings and Yukawas (not the same, since different field content different quantum corrections). 2. Define the Superpotential. , (+ RPV/NMSSM terms) (HO: at scale , e.g. in scheme) . 3. Define the SUSY breaking terms. Soft breaking gaugino masses , scalar masses , , and trilinear terms (HO: at scale , e.g. in scheme). 4. Work out the physical spectrum. Pole masses (for kinematics), and couplings (for ME’s), incl. mass cur- rent eigenstate transl., and for HO calcs all def in a useful and well–defined renormalization scheme/scale. P . Skands, the SuSy Les Houches Accord – p.4/20
✗ SUSY: Conventions and Consistency All these steps potential pitfalls when doing (and esp. combining) calculations. Need to be careful with: Signs, factors , etc. Mixing angles: clockwise or counter? Reflections? (Eigen)state decompositions. Renormalization schemes/scales. Effective field content (sparticles integrated out or not) Your favourite headache. What you get from SLHA is unique and well-defined! P . Skands, the SuSy Les Houches Accord – p.5/20
✦ ✤ ✢ ✤ ✼ ✸ ✻ ✧ ✦ ✥ ✷ ✥ ✧ ✽ ✻ ✼ ✽ ✢ ✾ ✢ ✢ ★ ❀ ✛ ✢ ✤ ✥ ✦ ✧ ✿ ✽ ✬ ★ ✢ ✰ ✱ ✲ ✳ ✤ Conventions and Consistency 1. Experimental Boundary Conditions ✜✣✢ ✘✚✙ ✭✯✮ ✩✫✪ The Fermi constant determined from decay ✴✶✵ The boson pole mass ✜✣✢ The 5–flavour strong coupling at ✘✺✹ ✜✣✢ The quark running mass at Top pole mass Tau pole mass Note: no SUSY corrections here! P . Skands, the SuSy Les Houches Accord – p.6/20
❥ ❝❞ ❞ ✇ ➙ ✉ ❵ ❢ ❽ ✮ ❥ ♥ ❦ ② ❵ ❞ q ✇ ❅ ✉ ✢ ❵ ❢ ❵ ❵ ⑤ ❼ ➏ ❶ ➛ ❹ ❝❞ ❺ ❤ ❝❞ ❻ ❝❞ ❞ ❲ ■ ✜ ➙ ❫ ✿ ✥ ❽ ❦ ✉ ❽ ❥ ✇ ✢ ❽ ⑤ ■ ❥ ❝ ❞ ♥ s ✉ ➋ ✈ ❢ ❽ ➓ ■ ❜ ❦ ❦ ✇ ❸ ❶ ❢ ❝ ❝ ✈ ❞ ♥ ♦ ❵ ❞ q ✇ ➓ ❝ ❢ ✥ ❽ ⑤ ✷ ❥ ❝❞ ♥ ➈ ✉ ✜ ✇ ✥ ❸ ⑨ ❯ ✥ P◗ ❘ ■ ❙ ❘ ✩ ♥ ❚ ❅ ➩ ✢ ❱ ✷ ➫ ✜ ➌ ✜ ❫ ✿ ✤ ❖ ➤ ❉ ❅ ❶ ❉ ❸ ✷ ❍ ❇ ✩ ❍ ■ ❃ ❏ ✇ ❆ ✩ ■ ❅ ❑ ➭ ➫ ✥ ❜ ✥ ④ ⑤ ❜ ❧ ❂ ✉ ❁ ✇ ❢ ❤ ❥ ❧ ❝❞ ❦ ✥ ✿ ❵ ❝ q ❫ ✉ ❃ ❦ ❝❞ ❜ ✇ ❤ ✐ ❥ ❝ ❞ ❦ ➨ ➨ ⑤ ❞ ➤ ✉ ✜ ✇ ✇ ❢ ❤ ① ❥ ❝ ❄ . Skands, the SuSy Les Houches Accord – p.7/20 ⑩❷❶ ❜⑥⑤ ➔↕↔ ➛➝➜➞ ) ♥r③ ❞r✈ ❵♠❧ ➃➇➆ Conventions and Consistency ❩❭❬ ❝rq ♥◆② ⑩❷❶ ❴➎❵ (NB: Extensions to NMSSM have already been agreed upon) ⑤➍➌ ❵♠❧ ❝♣q ) ■➣→ ♥⑧♦ P (can also be given at ♥t➩ ❞r✈ , or , ( ⑩❷❶ ➃➅➊ 2. & 3. Defining the SUSY Model ⑤❿➃➅➄ ♥ts ❞r✈ ➐➒➔ ❝rq ♥♣♦ ♥t➧ ♥ts ❝♣q ❵♠❧ ❞⑧✈ ♥t⑦ ♥➂② ♥t➧ ➐➒➑ ♥◆② ❞r✈ ❊●❋ ❜⑥⑤ ✜✣✢ ❡❣❢ ❆❈❇ Either ➃➅➉ ♥⑧➦ ♥⑧➦ ➢➥➤ ⑤❿❾➁➀ ♥t➈ ❴❛❵ ❩❭❬❪ ❩❭❬❪ ❩❭❬❪ ✜✣✢ ❲❨❳ ➟➡➠ ▲◆▼
➙ ✰ ➙ ➛ ➙ ✪ ã ✮ â ✰ ➙ ➛ ➙ ➙ ✰ ➸ á ➜➞ ✮ ✮ Ú ❰ ➘ Ï ➬ é æ ➸ ✪ ➬ Ü Ý ❄ á ➑ ➸ ➔ ✰ ❒ ➙ ➙ â ã ✮ ✰ ➜➞ ➛ ➛ ➜➞ ➙ ➛ ➸ ✪ ❄ ✮ ➙ ➙ ➜➞ ➙ ➙ ✮ ➙ ✪ ✪ ✮ ✰ ã ➜➞ ➛ ➜➞ ➙ â ✪ ✮ ✰ ❮ ❐ ➙ í ✩ ➸ ➲ ➾ ➸ ■ ➺ ë î Ï ➚ ✩ ■ ➘ ➸ ➸ ñ ✢ ➺ ❅ ➯ ñ ■ ò ➸ í ➸ ❋ ➻ î ë ❋ ➻ ➸ ➺ ➬ ➸ Ó ✃ Ò ❐ ❒ ❮ ❰ ▼ ❂ Ö ê ➬ ✱ ✃ ➪ ➶ ➬ Ñ ➪ Ï ➶ ❅ ➚ ✩ ■ ➬ ➸ ➺ ✃ ❐ ❒ ❮ ❰ ➘ ➬ Ð ✰ . Skands, the SuSy Les Houches Accord – p.8/20 ç➥çßç✶ç✶çßè âäã â➵ã Now all parameters unambiguously defined. E.g. for , phases ❩❭❬ , real positive masses. ❩❭❬ ❩❭❬ Conventions and Consistency : ) ë➷ï ➘➷➴ P ➬ìí , ✭✯✮♣×ÙØ â➵ã ➲➵➾ âäã ❩❭❬ ❩ÕÔ , ➲➎➽ ➛➝➜➞ 2. & 3. Defining the SUSY Model ✥ìë ➺➁✃ , ➲➵➼ ➘➷Ï ➪➹➶ ✜✣✢ = ( âåã ➛➝➜➞ ➲➵➳ ➸➱➮ Generically complex entries ë➷ï ❩❭❬ ➲➎ð the neutralino sector, with ➘➷➴ ➲➎ð ➪➹➶ removed by redef. ❩❭❬ ❩❭❬ Mass terms = ❩❭❬ At tree level: Þ➥ÞßÞ✶Þ✶Þßà ×ÙÛ
ó ✢ ôõ ë ❚ ✢ ✿ Conventions and Consistency 4. Communicating the Spectrum: parameters Firstly, copies of all the input parameters, for consis- tency (e.g. so next calculation uses same ). Secondly, all the (non-input) sparticle and Higgs boson pole masses, also e.g. . Thirdly, all the Lagrangian parameters at given scale(s) in the scheme. Fourthly, (less well defined) mixing matrices, for loop- improved tree–level calculations. P . Skands, the SuSy Les Houches Accord – p.9/20
✠ ✥ ë ❚ ✜ ✡ ❘ ë ◗ P ✥ ë ❚ ✜ ✡ ✌ ❳ P◗ ✠ P◗ ✠ ✢ ☞ → P◗ ✥ ë ❚ ✜ ✜ ✩ ❘ ✥ ✗ ■ ✥ P◗ ✥ ë ❚ ✜ ✡ ■ ✥ ✜ ✒ ✑ ✗ ✜ ❅ ■ ✍ ■ ❍ ➸ ✡ ✎ ❚ ❘ ❅ ■ ✜ ❘ ■ ✩ ✏ ❘ ❙ ❘ ✢ ý ➑ ÷ ➐ íü ✱ ✂ ú ✭ ✁ ü ÿ þ í ø ➑ ø ◗ ✌ ✜ ❚ ë ✥ P◗ ø ÷ ù ✭ P ✱ íü ➐ ✄ í P◗ ❄ ✥ ë ❚ ✜ ❖ ❃ ❚ ✟ ➔ ø ➐ ➑ ÷ ➐ ✪ ✥ íü ü ✁ ✭ ú ✝ ✱ ➐ ü ø ➔ ✄ ÷ í ë ✡ Conventions and Consistency 4. Communicating the Spectrum: parameters þ ✆☎ þ ✆✞ ú➎û öt÷ ▲◆▼ , , and : gauge couplings ✠☛✡ Soft breaking trilinear couplings , so GeV Soft breaking gaugino masses Soft breaking sfermion masses Running mass. In v1 writeup / In v2 writeup (& JHEP): JHEP 0407:036,2004 P . Skands, the SuSy Les Houches Accord – p.10/20
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